Artykuły w czasopismach: „VOGEL'S APPROXIMATION”

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Yuliana, Yuliana, Tasari Tasari, Anita Setiyaningsih, Fika Aisyah Munif i Miftacha Febriani Putri. "Optimalisasi Biaya Transportasi Produk UMKM Naturies Indonesia Dengan Metode Northwest Corner Dan Vogel’s Approximation". Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika 9, nr 2 (20.12.2022): 246–57. http://dx.doi.org/10.31316/jderivat.v9i2.3138.

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Naturies Indonesia is one of the UMKM for spice drinks in Macanan, Klaten, Central Java which is developing. As one of the growing UMKM, Naturies Indonesia is experiencing problems related to the distribution of its products. Naturies Indonesia has incurred transportation costs of Rp.442,100.00 per week in distributing its products to 5 distributors (Kudus, Jakarta, Shopee, Bandung, and offline). Due to human resource constraints, Naturies Indonesia does not yet have a thorough plan to reduce shipping costs in allocating products from production sites to customers or distributors. Through this applied research, this research aims to find the optimization of product delivery costs. Data were collected through interviews and documentation, then analyzed using the Northwest Corner and Vogel's Approximation methods. Analysis using the Northwest Corner method found a shipping cost of IDR 431,600.00, while the Vogel's Approximation method found a shipping cost of IDR 427,900.00. The shipping costs found were actually lower than the financing that had been issued so far. Keyword: northwest cor, spice drinks, optimization of transportation, UMKM Naturies Indonesia, vogel’s approximation

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Syam, Rahmat, S. Sukarna i Muh Nahdi Alim Asyhari. "Model Transportasi dan Terapannya dalam Optimalisasi Biaya Distribusi Beras Miskin di Kota Makassar oleh Perum Bulog Sub Divre Makassar Tahun 2016". Journal of Mathematics, Computations, and Statistics 2, nr 2 (12.05.2020): 126. http://dx.doi.org/10.35580/jmathcos.v2i2.12575.

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Penelitian ini membahas tentang model transportasi dan terapannya pada distribusi Beras Miskin (Raskin) di Kota Makassar oleh Perum Bulog Sub Divre Makassar. Data distribusi Raskin di Kota Makassar tahun 2016 diformulasikan dengan Model Transportasi. Berdasarkan model tersebut diperoleh keseimbangan model, dan tabel transportasi distribusi Raskin,. Dengan Metode Least Cost (LC) dan Vogel’s Approximation Method (VAM) diperoleh solusi awal yang fisibel. Berdasarkan perhitungan solusi awal yang fisibel diperoleh solusi optimum menggunakan Metode Batu Loncatan (Stepping Stone Method). Selanjutnya disimulasikan menggunakan aplikasi Pom for Windows. Hasil penelitian ini menunjukkan bahwa dengan penerapan Model Transportasi terjadi penghematan biaya distribusi raskin di kota Makassar tahun 2016 sebesar 1,7% dibandingkan hasil perhitungan Perum Bulog Sub Divre Makassar.Kata Kunci: Model Transportasi, Least Cost (LC), Vogel’s Approximation Method (VAM), Metode Batu Loncatan, Distribusi Raskin, This study discusses the transportation model and its application on the stock of Rice Poor (Raskin) in Makassar City by Perum Bulog Sub Divre Makassar. Data is processed by Transport Model. Based on the model is generated a balance model, and export table Raskin distribution,. By method. (LC) and Vogel's Approximation Method (VAM) obtained a feasible initial solution. The method using the stepping stone method (Stepping Stone method). It is then simulated using the Pom for Windows application. The results of this study indicate with the application of Transportation Model. In the year. Year 2016 amounted to 1.7% of the calculation of Perum Bulog Sub Divre Makassar.Keywords: Transportation Model, Least Cost (LC), Vogel’s Approximation Method (VAM), Stepping Stone Method, Distribution Raskin.

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Korukoğlu, Serdar, i Serkan Ballı. "An Improved Vogel's Approximation Method for the Transportation Problem". Mathematical and Computational Applications 16, nr 2 (1.08.2011): 370–81. http://dx.doi.org/10.3390/mca16020370.

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Determining efficient solutions for large scale transportation problems is an important task in operations research. In this study, Vogel’s Approximation Method (VAM) which is one of well-known transportation methods in the literature was investigated to obtain more efficient initial solutions. A variant of VAM was proposed by using total opportunity cost and regarding alternative allocation costs. Computational experiments were carried out to evaluate VAM and improved version of VAM (IVAM). It was seen that IVAM conspicuously obtains more efficient initial solutions for large scale transportation problems. Performance of IVAM over VAM was discussed in terms of iteration numbers and CPU times required to reach the optimal solutions.

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MATHIRAJAN, M., i B. MEENAKSHI. "EXPERIMENTAL ANALYSIS OF SOME VARIANTS OF VOGEL'S APPROXIMATION METHOD". Asia-Pacific Journal of Operational Research 21, nr 04 (grudzień 2004): 447–62. http://dx.doi.org/10.1142/s0217595904000333.

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This paper presents a variant of Vogel's approximation method (VAM) for transportation problems. The importance of determining efficient solutions for large sized transportation problems is borne out by many practical problems in industries, the military, etc. With this motivation, a few variants of VAM incorporating the total opportunity cost (TOC) concept were investigated to obtain fast and efficient solutions. Computational experiments were carried out to evaluate these variants of VAM. The quality of solutions indicates that the basic version of the VAM coupled with total opportunity cost (called the VAM–TOC) yields a very efficient initial solution. In these experiments, on an average, about 20% of the time the VAM–TOC approach yielded the optimal solution and about 80% of the time it yielded a solution very close to optimal (0.5% loss of optimality). The CPU time required for the problem instances tested was very small (on an average, less than 10 s on a 200 MHz Pentium machine with 64 MB RAM).

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Balakrishnan, Nagraj. "Modified Vogel's approximation method for the unbalanced transportation problem". Applied Mathematics Letters 3, nr 2 (1990): 9–11. http://dx.doi.org/10.1016/0893-9659(90)90003-t.

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Sugianto, Welly, i Elva Susanti. "Optimasi OPTIMASI BIAYA TRANSPORTASI PADA UKM DI KOTA BATAM". Inaque : Journal of Industrial and Quality Engineering 9, nr 1 (24.02.2021): 1–19. http://dx.doi.org/10.34010/iqe.v9i1.4278.

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This research was conducted at UKM Jovelyn in Batam city. Jovelyn's UKM produces various kinds of cakes and is marketed in markets in Batam City. The UKM opened 4 branches and marketed its products to 7 markets in the city of Batam. Product distribution is still random and not properly regulated. This resulted in a very large transportation cost, up to 1/3 of the total production cost. This shows that product transportation is still not carried out effectively and efficiently. The transportation problem is converted into a mathematical form so that the problem can be solved by the transportation method. The transportation method aims to minimize the objective function which is a function of transportation costs. The transportation method is basically the same as the linear program where at each iteration a selection is made to enter the basic variabel and leave the basic variabel. There are several iteration methods, namely the northwest corner method, minimum cost method, genetic algorithm, Vogel's approximation method, minimum row method, Russell's approximation method and column minimum method. Previous research has shown that the Vogel's approximation method, and Russell's approximation method are more efficient and accurate. This study uses both methods and a sensitivity analysis is performed to optimize the calculation results. The sensitivity analysis aims to determine the extent to which the objective function constants and the constraint function constants can change Keywords: Transportation, Sensitivity, SME

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Maheswari V., V. Balaji, Amulu Priya S. ,. "New Vogel’s Approximation Method (NVAM) to Determine Better Feasible Solution of Transportation Problem". Mathematical Statistician and Engineering Applications 71, nr 3 (19.08.2022): 1385–97. http://dx.doi.org/10.17762/msea.v71i3.493.

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Nowadays, getting substantial results for problems in operations research is crucial. The transportation problem can be solved very effectively with Vogel's Approximation Method (VAM) and discover a workable solution that is closer to the ideal solution. The basic principle of VAM is to allocate as many resources as possible to the cell with the smallest cost in the column or row with the greatest penalty. This cell will receive the maximum number of resources. A problem arises when the magnitudes of the least cost and the next-least cost are identical. Then, we devised a new method called the "New Vogel's Approximation Method (NVAM)" to provide a workable solution to the transportation problem that may then be used to determine the optimal solution. Transporting capacity to the required location is done by three distinct companies. The supply chain's participants seek to move their goods from warehouse to distribution centre, from plant to warehouse, and from distribution centre to retail store. In this study, the VAM method and the NVAM approach are used to determine the optimal transportation cost. These techniques are examined to provide potential supply chain management techniques.

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Sahito, Sabeen. "Modification of Vogel's Approximation Method for Optimality of Transportation Problem by Statistical Technique". Quaid-e-Awam University Research Journal of Engineering, Science & Technology 19, nr 2 (27.12.2021): 42–48. http://dx.doi.org/10.52584/qrj.1902.07.

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This paper addresses the Optimality of Transportation Problems (TP). The modification in Vogel’s Approximation Method for optimality of transportation problem by statistical technique (MVOTPST) is proposed, which provides the better feasible solution in comparison to the existing methods such as North West Corner Method (NWCM), Least Cost Method (LCM) and Vogel’s Approximation Method (VAM). Various examples have been examined from the literature to validate the authenticity and optimality of the proposed MVOTPST method. Furthermore, the Initial Basic Feasible Solution (IBFS) of the modified technique has been found either absolutely optimal, close to optimal, same as VAM, or better than the existing methods.

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Çakmak, Tanyel, i Filiz Ersöz. "METHODOLOGY RECOMMENDATION FOR ONE‐CRITERION TRANSPORTATION PROBLEMS: CAKMAK METHOD". TRANSPORT 22, nr 3 (30.09.2007): 221–24. http://dx.doi.org/10.3846/16484142.2007.9638128.

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Transportation problems (TP) are one of the most prominent fields of application of the mathematical disciplines to optimization and operations research. In general, there are three starting basic feasible solution methods: Northwest Corner, Least Cost Method, VAM – Vogel's Approximation Method. The three methods differ in the quality of the starting basic solution. In this study, we actually show a new method for starting basic feasible solution to one‐criterion‐transportation problems: Çakmak Method. This method can be used for balanced or unbalanced one-criterion transportation problems, and gives the basic feasible optimum solution accordingly.

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Gujjula, Rico, Sebastian Werk i Hans-Otto Günther. "A heuristic based on Vogel's approximation method for sequencing mixed-model assembly lines". International Journal of Production Research 49, nr 21 (listopad 2011): 6451–68. http://dx.doi.org/10.1080/00207543.2010.527384.

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Wiratmani, Elfitria, Ilham Falani, Siti Humayro Billah, Anton Oktavianto, Hoesup Pamoajer i Syaefudin Akbar. "Optimalisasi Biaya Distribusi Produk dengan Menggunakan Vogel's Approximation Method di PT. LF Beauty Manufacturing". STRING (Satuan Tulisan Riset dan Inovasi Teknologi) 6, nr 3 (5.04.2022): 236. http://dx.doi.org/10.30998/string.v6i3.10433.

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Hedid, Manal, i Rachid Zitouni. "Solving the four index fully fuzzy transportation problem". Croatian Operational Research Review 11, nr 2 (2020): 199–215. http://dx.doi.org/10.17535/crorr.2020.0016.

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In this paper, we will solve the four index fully fuzzy transportation problem (\textit{FFTP$_{4}$}) with some adapted classical methods. All problem's data will be presented as fuzzy numbers. In order to defuzificate these data, we will use the ranking function procedure. Our method to solve the \textit{FFTP$_{4}$} composed of two phases; in the first one, we will use an adaptation of well-known algorithms to find an initial feasible solution, which are the least cost, Russell's approximation and Vogel's approximation methods. In the second phase, we will test the optimality of the initial solution, if it is not optimal, we will improve it. A numerical analysis of the proposed methods is performed by solving different examples of different sizes; it is determined that they are stable, robust, and efficient. A proper comparative study between the adapted methods identifies the suitable method for solving \textit{FFTP$_{4}$}.

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Sikkannan, Krishna Prabha, i Vimala Shanmugavel. "Sorting Out Fuzzy Transportation Problems via ECCT and Standard Deviation". International Journal of Operations Research and Information Systems 12, nr 2 (kwiecień 2021): 1–14. http://dx.doi.org/10.4018/ijoris.20210401.oa1.

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A well-organized arithmetical procedure entitled standard deviation is employed to find the optimum solution in this paper. This technique has been divided into two parts. The first methodology deals with constructing the entire contingency cost table, and the second deals with optimum allocation. In this work, the method of magnitude is used for converting fuzzy numbers into crisp numbers as this method is better than the existing methods. This technique gives a better optimal solution than other methods. A numerical example for the new method is explained, and the authors compared their method with existing methods such as north west corner method, least cost method, and Vogel's approximation method.

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Singla, Jajji, Gourav Gupta, Mohit Kumar Kakkar i Neha Garg. "Revised Algorithm of Vogel's Approximation Method (RA-VAM): An Approach to Find Basic Initial Feasible Solution of Transportation Problem". ECS Transactions 107, nr 1 (24.04.2022): 8757–67. http://dx.doi.org/10.1149/10701.8757ecst.

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In corporate and industries sectors, transportation plays an important role. Vogel Approximation Method (VAM) is a effectual method to find the initial basic feasible solution of transportation problems, but when there is a tie between highest penalty costs for rows and columns, we have to choose arbitrary which results we may get solution far from optimal solution also. In this paper, we have modified the steps of VAM to find the feasible solution. The proposed revised algorithm of Vogel Approximation Method (RA-VAM) gives feasible solution which is always nearest to the optimal solution. Three examples are also solved to illustrate RA-VAM.

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Afiani, Marie, Susi Setiawani i Toto Bara Setiawan. "PENERAPAN MODIFIED VOGEL'S APPROXIMATION METHOD (MVAM) UNTUK MEMINIMUMKAN BIAYA TRANSPORTASI (STUDI KASUS: PABRIK TAHU TAUFIK)". Jurnal Matematika, Statistika dan Komputasi 16, nr 2 (19.12.2019): 143. http://dx.doi.org/10.20956/jmsk.v16i2.7349.

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This research aims to determine the tofu product distribution transportation model at Taufik Tofu Factory. This type of research is applied research with a quantitative approach. The method used to solve transportation problems in this study is the Modified Vogel’s Approximation Method (MVAM) and optimized using the Modified Distribution (MODI) method. The results of this study indicate that the application of MVAM at the Taufik Tofu Factory provides a more minimum solution for calculating transportation costs, both in equilibrium and non-equilibrium problems. MVAM provides the same transportation costs as the optimal solution for the simplex method, which is equal to Rp1.164.911,00 for equilibrium problems and Rp2.176.838,00 for unequal problems. These results have been tested for optimism using MODI and better than the real cost calculations issued by the factory.

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Setiawan, Setiawan, i Olven Manahan. "Aplikasi Sistem Informasi Penerapan Vogel's Approximation Method (VAM) Untuk Meminimalkan Biaya Transportasi Pengiriman Barang (Study Kasus : JNE Cab. Utama Medan)". Jurnal Nasional Komputasi dan Teknologi Informasi (JNKTI) 3, nr 2 (21.10.2020): 176–81. http://dx.doi.org/10.32672/jnkti.v3i2.2410.

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In the distribution process, a large number of transportation costs are required because the costs incurred are unstable and also depend on field and weather conditions. In addition, the road conditions in Medan are getting congested, so that traffic jams have to be dealt with by the delivery party. Therefore a strategy is needed to minimize costs so that problems do not arise in distributing products to various regions. The information system that will be built to help resolve cases that occur in service providers, especially at the JNE Medan Main Branch, uses a method known as a method of transportation. Vogel's Approximation Methods (VAM) is a transportation method used to regulate the distribution from sources that provide the same product to places where it is optimally needed.

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G., Sudha, i Ganesan K. "Interval-Fuzzy Fixed Charge Transportation Problems". International Journal of Fuzzy System Applications 11, nr 3 (1.07.2022): 1–14. http://dx.doi.org/10.4018/ijfsa.306281.

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The fixed charge transportation problem (FCTP) is a variant of the well-known transportation problem in which the price of conveying products from a source to a sink is made up of a set cost and a continuous cost proportionate to the number of goods sent. The transportation system and FCTP with uncertain parameters are inextricably linked. Fuzzy numbers or interval numbers can be used to successfully handle these imprecise values. The cost coefficients, supplies, and demands are all represented as interval numbers in this paper. A modified interval version of Vogel's Approximation process is used to obtain the initial basic feasible solution (IBFS) of the interval fixed charge transportation problem (IFCTP), which is then optimized using interval version of MODI method. A numerical example is provided to show the efficiency of the proposed method.

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Alfianti, Windu, Reni Kurnia, Rizka Oktaviani i Muchammad Fauzi. "PENERAPAN METODE MODIFIED DISTRIBUTION (MODI) UNTUK OPTIMALISASI BIAYA DISTRIBUSI PRODUK ALAT KESEHATAN". Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika 2, nr 2 (30.08.2021): 166–79. http://dx.doi.org/10.46306/lb.v2i2.66.

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The transportation model is the lowest cost plan determination for a distribution process. This research aims to obtain the pattern of distribution of medical device products at PT X so that the costs for the distribution process become more optimal and the needs of product demand to each city can be met. By using Vogel's Approximation Method (VAM) as a viable initial solution and followed by optimization tests to determine the optimal solution with Modified Distribution Method (MODI). The results showed the initial solution of VAM method obtained cost Rp176,645,930 then Modified Distribution Method (MODI) as the optimal solution obtained optimal transportation costs of Rp176,645,210. Based on the results of calculations that have been done shows the results that the distribution of medical devices in PT. X by implementing a transport model can save on distribution costs

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Hamid Thanoon, Firas. "Proposed Method for Solving Transportation Problems". Wasit Journal of Pure sciences 1, nr 3 (24.12.2022): 9–14. http://dx.doi.org/10.31185/wjps.62.

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The transportation problem (TP) is a frequently used optimization technique in operations research for studying difficulties involving the transportation of commodities from manufacturing locations to retail outlets. Lowering transportation costs is one possible purpose of the TP, reducing the distance travelled in terms of time, and so on. Solving such issues can be done systematically. We do this by determining the problem's Initial Basic Feasible Solution (IBFS). The usual methods for determining the IBFS are Vogel's Approximation technique, Least Cost technique, and the North-West Corner technique. Several more techniques to handle such difficulties have been proposed in recent years. In this article, we offer a new technique for solving the transportation problem, and its efficacy is compared to that of existing solutions. Calculation of the result shows that it is straightforward and close to the ideal solution to the issue.

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Zeeshan A, Mohammed, Apoorva Subash i Ankitha C S. "Model Employing the VAM-MODI Method for Risk Management in the Transportation of Commodities". International Journal of Research and Review 9, nr 11 (3.11.2022): 96–99. http://dx.doi.org/10.52403/ijrr.20221116.

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One of the key concerns for every industry in regards to delivering items to their intended recipients safely and on schedule is transport risk management. Both damaged items and late shipments cost the company money and impair the company's reputation. All approach for transportation needs to be comfortable in order to guarantee that the commodities will arrive without harming the items, on schedule, and cost effectively. In this article, we uncover a few common dangers that could affect all kinds of routes, such as highways, waterways, airports, railways, and so on. Further, we suggested a method for solving a transportation problem utilizing VAM-MODI method (Vogel's Approximation Method-Modified Distribution). Lastly, utilizing a multi-optimality approach to the itransportation problemi, wei lower thei hazards byi reducing the potential numberi ofi transportationi routesi. Keywords: VAM, MODI, transportation problem.

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Fatikasari, Najma, Bhernita Mila Yasinta i Wakhid Fitri Albar. "Optimization of Aqua Gallon Water Distribution Cost at Mega Mas Water Depot by VAM and MODI". Mathematical Journal of Modelling and Forecasting 1, nr 1 (23.06.2023): 32–38. http://dx.doi.org/10.24036/mjmf.v1i1.6.

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This study aims to obtain optimal distribution costs for selling gallons of water at the Air Mega Mas Depot, Sekaran. The data analysis method used is the transportation method, using the VAM (Vogel's Approximation Method) method for the initial solution and the optimal test using the MODI (Modified Distribution) method. Air Mega Mas Depot is faced with the problem of increasing marketing costs due to the lack of regular distribution patterns from the source to the marketing destination, so the company tries to optimize the transportation costs incurred. The distribution of gallon water products at the Air Mega Mas Depot using the transportation method gets optimal results. The costs incurred by the Air Mega Mas Depot for the distribution of gallons of water for a 2-month period (March-April) are Rp. 2.520.000 while for the optimal calculation results for the distribution of gallons of water, a cost of IDR 2.435.000 is obtained. Based on this analysis, Air Mega Mas Depot can optimize distribution costs for the March-April period of IDR 85.000.

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Ekanayake, E. M. D. B., i E. M. U. S. B. Ekanayake. "A Novel Approach Algorithm for Determining the Initial Basic Feasible Solution for Transportation Problems". Indonesian Journal of Innovation and Applied Sciences (IJIAS) 2, nr 3 (7.10.2022): 234–46. http://dx.doi.org/10.47540/ijias.v2i3.529.

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In optimization, the transportation problem is of utmost significance. The fundamental idea for solving the transportation problem is to develop methods that lower the overall cost between the source and the destination. Numerous research techniques are given in the literature as solutions to transportation problems. The majority of strategies focus on locating the initial basic, feasible solution to the transportation problem, while some techniques concentrate on locating an optimal solution. To find an initial, basic, feasible solution, Vogel's approximation, the least-cost method, the northwest method, and other methods are used. The Modified Distribution Method and the Stepping Stone Method are gaining acceptance as the optimal solution to the transportation problem. In this research study, a model approach to figuring out the basic, feasible solution for transportation problems with balanced and unbalanced components is proposed based on the average unit cost value of columns and rows. A new table is created using the unit cost values and average unit cost values in the columns and rows and compared to the transportation problem to solve the problem by balancing demand and supply. The proposed methodology is effortless, easy to understand, and simple to use. Comparatively speaking, the algorithmic technique suggested by this work is less complex than the well-known meta-heuristic algorithms in the literature. Finally, provide a case study to demonstrate the proposed approach.

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Cahyadi, Lina. "MODEL MATEMATIKA UNTUK MASALAH TRANSPORTASI LEBIH DARI SATU PRODUK [MATHEMATICAL MODELS FOR TRANSPORTATION PROBLEMS INVOLVING MORE THAN ONE PRODUCT]". FaST - Jurnal Sains dan Teknologi (Journal of Science and Technology) 6, nr 2 (30.11.2022): 103. http://dx.doi.org/10.19166/jstfast.v6i2.5340.

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Distribution companies need to plan efficient shipments to avoid incurring large shipping costs. Therefore, a company that addresses transportation problems by choosing the right distribution pattern can obtain optimal distribution costs. The transportation problem model is applied to allocate the same product to the destination places. In the problem of distributing more than one product, the transportation problem model is modified so that it can be used to optimize shipping costs. This study aimed to optimize distribution costs using a modified transportation problem model. The data obtained from the "Sejahtera" store included data on distribution costs, supply from sources, and requests from each store. The analysis was carried out by forecasting the demand for products processed by a time series process to assist companies in estimating the amount of demand for each product in the future. Then, optimization was carried out by testing the modified model for the transportation problem of more than one product under three conditions. Optimization of distribution costs was carried out by finding a feasible initial solution using the northwest corner method, the minimum cost method, and the modified Vogel's Approximation Method (VAM) approximation method, followed by determining the optimum solution using the stepping-stone method and the Modified Distribution Method (MODI). Based on the research conducted, the three conditions were tested using a modified transportation problem model for more than one product resulting in optimum shipping costs.Bahasa Indonesia Abstract:Perusahaan distibusi perlu merencanakan pengiriman yang efisien agar tidak mengeluarkan biaya pengiriman yang besar dengan meminimalkan biaya pengiriman. Oleh karena itu, perusahaan menerapkan masalah transportasi dalam memilih pola distribusi yang tepat untuk memperoleh biaya distribusi yangoptimal. Masalah transportasi diterapkan untuk mengalokasikan produk yang sama ke tempat-tempat tujuan. Dalam permasalahan pendistribusian lebih dari satu produk, model masalah transportasi dimodifikasi sehingga dapat digunakan untuk mengoptimalkan biaya pengiriman. Data diperoleh dari toko Sejahtera meliputi data biaya distribusi, persediaan dari sumber dan permintaan setiap toko yang bertujuan untuk mengoptimalkan biaya distribusi menggunakan model masalah transportasi yang dimodifikasi. Analisis dilakukan dengan meramalkan permintaan produk yang diolah dengan proses time series untuk membantu perusahaan dalam memperkirakan jumlah permintaan masing-masing produk untuk waktu yang akan datang. Kemudian melakukan optimasi dengan menguji model yang sudah dimodifikasi untuk masalah transportasi lebih dari satu produk dalam tiga kondisi. Optimasi biaya distribusi dilakukan dengan mencari pemecahan awal yang layak menggunakan metode sudut barat laut, metode biaya minimum dan metode aproksimasi Vogel’s Approximation Method (VAM) yang dimodifikasi dilanjutkan dengan menentukan solusi optimum menggunakan metode batu loncatan (stepping-stone) dan Modified Distribution Method (MODI) yang dimodifikasi. Berdasarkan penelitian yang dilakukan, ketiga kondisi yang diuji menggunakan model masalah transportasi yang dimodifikasi untuk lebih dari satu produk menghasilkan biaya pengiriman yang optimum.

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Kembe, M. M., A. R. Kimbir i E. M. Ogbuagu. "Minimizing the Cost of Transporting Goods Produced in an Integrated Foods Company." NIGERIAN ANNALS OF PURE AND APPLIED SCIENCES 6 (28.12.2015): 106–11. http://dx.doi.org/10.46912/napas.15.

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The transportation cost of goods in any company or organization is a pivotal element in determining the total cost of production and also the net profit that will be made. The main aim of this study is to minimize the cost of transporting goods produced at Grand Cereals Limited, Jos, which is reducing the cost of transportation from the major plant where the goods are produced to the various distribution centers. Data was collected on the average quantity of Brabusco Maize Flour (10 kg), Grand Pure Soya Oil (10 litres), Vita Chicks Pelletized Feeds (25 kg, 9 mm) and Royal Layer Concentrate Feeds (25 kg) produced monthly at the Jos plant, the average quantity demanded by major distributors across the country (Yola, Dutse, Minna, Abuja, Aba, Onitsha, Calabar and Ikeja) and the cost of transporting them. The Vogel's Approximation Method of the TORA Optimization System Software was used in solving the formulated transportation problem, and an optimal solution of N3,427,821.00 was obtained, which reduced the monthly transportation cost by N332,179.00. Furthermore, sensitivity analysis was carried out on the parameters after the optimal solution was obtained, which shows that the optimal solution is strongly sensitive to changes in the problem parameters. It was concluded that this work has reduced the transportation cost of the company and therefore recommended to the management of the company for adoption in planning their transportation schedule at a minimum cost.

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Alzahrani, Abdullah M. Y. "MITIGATION OF WASTE TRANSPORTATION COSTS IN TAIF PROVINCE, SAUDI ARABIA". Rudarsko-geološko-naftni zbornik 37, nr 5 (2022): 159–67. http://dx.doi.org/10.17794/rgn.2022.5.13.

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Municipal solid waste (MSW) management is a critical issue in the Kingdom of Saudi Arabia (KSA). Management of solid waste in crowded conditions, especially in main cities such as the Al-Taif Province. This paper deals with that case study and focuses on how to solve material handling problems by applying conventional methods and computer ability. One of the costliest operations in the civil sector is transportation for material handling. City mayors considered transportation and materials handling as a subclass of the linear programming technique, thus linear programming problems take into consideration that the main objective is to handle materials from the city centre site to the identified dumping area. There are many methods and tools used to solve the transportation problem (TP) to find out the maximum or minimum in order to reduce cost or maximize profit. The methods related to manual solutions and others used many different computer applications. Manual solutions include the northwest corner method, the minimum cost method, the row minimum cost method, the column minimum cost method, and Vogel's approximation method, and computer applications such as LINGO, Lingo, and solver function using Microsoft Excel. This case study focuses on applying the Microsoft Excel function to find the minimum cost of the transportation system in waste materials to reduce the transportation cost from the city centre to the final destination (dumping area) to be used. The results achieved with the model aided in obtaining optimal solutions and finally, the optimal solutions were checked.

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Ahmed Younis, Ashraf A., i Adel M. Alsharkasi. "USING OF HUNGARIAN METHOD TO SOLVE THE TRANSPORTATION PROBLEMS". EPH - International Journal of Applied Science 2, nr 4 (27.12.2016): 11–17. http://dx.doi.org/10.53555/eijas.v2i4.135.

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Transportation problems and Assignment Problems are considered as one of the most important applications of linear programming and are used to solve many economic and administrative problems. Transport issues are those matters that concern the transfer of certain products from the places of production or manufactured to the places of consumption or storage, through a special matrix containing figures for transport costs, in which the main objective is to make the cost of transport at a minimum value taking into account supply and demand constraints. There are several methods to solve these types of problems, where the best methods are Vogel's Approximation Method and its modifications that their algorithm is based on finding the lowest possible cost of transport. As for, the allocation issues are meant to be those issues that discuss the optimal allocation of various economic resources on the various works to be achieved, so that we achieve either the lowest possible cost to accomplish these works or the greatest possible return through the completion of these works. This type of problem can be solved by using the Hungarian Method and the algorithm of this method is based on finding the lowest cost in the case of minimization models and the greatest possible return in the case of maximization issues. This paper presents an attempt to implement the Hungarian method algorithm in case of minimization of transport issues, and ensure that it will give an optimal solution comparing to other methods that are assigned to solve these types of transport problems. Where, the results show that the suggested method gives the same or better solution than the other methods.

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Rahmasari, Intan Ayu, Yani Ramdani i Farid Hirji Badruzzaman. "Optimasi Biaya Transportasi Pengiriman Air Minum Kemasan Menggunakan Metode Nortwest Corner, Vogels Approximation dan Stepping Stone". Bandung Conference Series: Mathematics 1, nr 1 (7.12.2021): 15–24. http://dx.doi.org/10.29313/bcsm.v1i1.14.

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Abstract. This research was conducted at PD. X is one of the companies that distributes bottled drinking water products in the city of Bandung and its surroundings and does not yet have a permanent transportation cost optimization calculation technique that can result in high distribution costs. These problems can be formulated in the transportation model. The method used to determine the initial feasible solution is Northwest Corner and Vogels Approximation, while determining the optimum solution using Stepping Stone. The results of the initial feasible solution calculation show that the number of iterations using the two methods is the same, namely eight iterations. The difference between these two methods is the transportation cost of Rp. 696,000 for the Northwest Corner method and Rp. 611,400 for the Vogels Approximation method. The results of the calculation of the optimal solution show that there are differences in the number of iterations. For the Northwest Corner and Northwest Corner methods, the number of iterations is seven, while the Vogels Approximation and Northwest Corner methods have two iterations. The optimal solution of the two methods obtained the same transportation costs of Rp. 600,400. Thus the Vogels Approximation and Northwest Corner methods are more analytically efficient. Abstrak. Penelitian ini dilaksanakan pada PD. X yaitu salah satu perusahaan yang mendistribusikan produk air minum dalam kemasan di daerah kota Bandung dan sekitarnya dan belum memiliki teknik perhitungan pengoptimalan biaya transportasi yang permanen sehingga dapat mengakibatkan biaya distribusi yang cukup tinggi. Persoalan tersebut dapat diformulasikan dalam model transportasi. Metode yang digunakan untuk penentuan solusi fesibel awal adalah Northwest Corner dan Vogels Approximation, sedangkan penentuan solusi optimum menggunakan Stepping stone. Hasil perhitungan solusi fesibel awal menunjukan bahwa jumlah iterasi menggunakan kedua metode tersebut sama yaitu sebanyak delapan iterasi. Perbedaan dari kedua metode ini terdapat pada biaya transportasi sebesar Rp. 696.000 untuk metode Northwest Corner dan sebesar Rp. 611.400 untuk metode Vogels Approximation. Hasil perhitungan solusi optimal menunjukan adanya perbedaan jumlah iterasi. Untuk metode Northwest Corner dan Northwest Corner jumlah iterasi yaitu tujuh, sedangkan metode Vogels Approximation dan Northwest Corner jumlah iterasi yaitu dua. Adapun solusi optimal dari kedua metode tersebut diperoleh biaya transportasi yang sama sebesar Rp. 600.400. Dengan demikian metode Vogels Approximation dan Northwest Corner lebih efisien secara analitik.

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SHAFARDA, MOH GHISTA KUSUMA, NI MADE ASIH i G. K. GANDHIADI. "MEMINIMUMKAN BIAYA DISTRIBUSI JERUK MENGGUNAKAN VOGELL’S APPROXIMATION METHOD DENGAN UJI OPTIMAL STEPPING STONE". E-Jurnal Matematika 8, nr 2 (6.06.2019): 132. http://dx.doi.org/10.24843/mtk.2019.v08.i02.p244.

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The objective of this reseach is to know the minimum cost distribution of citrus using Vogell's approximation method with stepping stone optimal test. Vogell's approximation method (VAM) is one of the preparation methods of initial feasible solution tables by determining the allocation of distribution on the cell that has the smallest cost and is located on the row or column that has the greatest value of the difference between the two smallest costs. The stepping stone method aims to test the initial solution table by calculating the cost of empty cells passed by the stepping stone path. The research that has been done shows the cost that before the optimization of the distributing costs of kintamani citrus by kintamani citrus farmers using Vogell's approximation method and stepping stone optimal test, it’s obtained that the costs are 85.338.161 rupiahs, while the cost of distributing kintamani citrus by kintamani citrus farmers after the optimization is 75.710.570 rupiahs.

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Erza, Fyoni, i Fahriza Nurul Azizah. "Perbandingan Biaya Distribusi Produk Cat Menggunakan Model Transportasi Metode Vogel’s Approximation Method dan Least Cost". Go-Integratif : Jurnal Teknik Sistem dan Industri 4, nr 01 (31.05.2023): 48–60. http://dx.doi.org/10.35261/gijtsi.v4i01.8791.

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Penelitian ini dilakukan di PT Victorindo Kimiatama yaitu salah satu perusahaan yang mendistribusikan produk cat dan pelapis di daerah Jabodetabek dan sekitarnya. Perusahaan ini belum memiliki teknik perhitungan pengoptimalan biaya disribusi yang permanen sehingga dapat mengakibatkan meningkatnya biaya distribusi. Penelitian ini bertujuan untuk menentukan jalur distribusi yang efisien serta meminimumkan biaya pendistribusian. Perhitungan biaya distribusi menerapkan model transportasi dengan membandingkan metode vogel’s approximation method (VAM) dan least cost. Hasil perhitungan menunjukkan adanya perbedaan total biaya distribusi di mana metode vogel’s approximation method menghasilkan biaya sebesar Rp795.161,21, sedangkan metode least cost sebesar Rp775.839,90. Sehingga dengan menggunakan metode least cost, perusahaan dapat menghemat biaya distribusi sebesar Rp707.285,10 atau 0,49% dari biaya disribusi sebelumnya.

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Hussein Farag, Hanan. "An Approach for Solving the Fixed Charge Transportation Problems". Journal of University of Shanghai for Science and Technology 23, nr 07 (12.07.2021): 583–90. http://dx.doi.org/10.51201/jusst/21/07187.

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This paper presents modified Vogel’s method that solves the fixed charge transportation problems, the relaxed transportation problem proposed by Balinski in 1961 to find an approximate solution for the fixed charge transportation problem (FCTP). This approximate solution is considered as a lower limit for the optimal solution of FCTP. This paper developed the modified Vogel’s method to find an approximate solution used as a lower limit for the FCTP. This is better than Balinski’s method in 1961. My approach relies on applying Vogel’s approximation method to the relaxed transportation problem. In addition, an illustrative numerical example is used to prove my hypothesis.

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DEWI, NI PUTU INTAN PUSPA, NI KETUT TARI TASTRAWATI i KARTIKA SARI. "RUSSELL’S APPROXIMATION METHOD DAN IMPROVED VOGEL’S APPROXIMATION METHOD DALAM PENYELESAIAN MASALAH TRANSPORTASI". E-Jurnal Matematika 8, nr 3 (31.08.2019): 184. http://dx.doi.org/10.24843/mtk.2019.v08.i03.p251.

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Distribution activities in company which related in distribution sometimes have a problems, one of the problems is transportation problem. To solve that problem can be used a transportation model to obtain the distribution route so the cost that come out is more minimum. The aim of this research is to compare the initial solution of RAM and IVAM and to know the distribution route in distribution of bottled water in the CV. Prasarana Fortuna Prima so obtained the minimum distribution costs after optimality test using MODI. The results showed that RAM gave a lower initial solution than IVAM and the initial solution of RAM was optimum after optimality test using MODI with a distribution routes is from depo Klungkung to Toko Bintang, Toko Subur, Toko Cahaya Melati, Toko Mawar Sari, and Coco Mart Ubud, from depo Kapal to CV. Sumber Jaya, Toko Sol Mandala, and Toko Kayana, from depo Mahendradatta to Toko Sinar Wangi and Toko Aris.

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Awogbemi, Clement Adeyeye, Samson Adekola Alagbe i Caleb Kehinde Osamo. "COMPARISON OF METHODS OF SOLVING TRANSPORTATION PROBLEMS (TP) AND RESOLVING THE ASSOCIATED VARIATIONS". International Journal of Modern Statistics 2, nr 1 (28.07.2022): 1–24. http://dx.doi.org/10.47941/ijms.949.

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Purpose: Transportation Problem is a Linear Programming application to physical distribution of goods and services from various origins to several destinations at a minimum cost. Methodology: In this study, five different methods were employed to solve transportation problems arising from unequal demand and supply of goods and variations. The methods considered were in terms of North West Corner Rule, Least Cost Method, Vogel’s Approximation Method, Row Minima Method and Column Minima Method were compared. Unbalanced transportation problems were resolved using Vogel’s Approximation Method (VAM) and Modified Distribution (MODI) methods. Findings: The methods compared produced different results with VAM generating the least transportation cost and better solution. With the MODI method, economic values were generated for the dual variables, uis and vjs associated with the source and demand points respectively.

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Br Tarigan, Monika Vlorentina, i Muhammad Romi Syahputra. "PENYELESAIAN PERSOALAN OPTIMASI TRANSPORTASI FUZZY MENGGUNAKAN IMPROVED VOGEL APPROXIMATION METHOD". JURNAL MATHEMATIC PAEDAGOGIC 7, nr 2 (15.03.2023): 101–10. http://dx.doi.org/10.36294/jmp.v7i2.3128.

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Transportasi adalah bentuk khusus dari program linier yang berfungsi sebagai pemecah permasalahan transportasi yang bertujuan untuk meminimumkan biaya, jarak tempuh, dan lain sebagainya sehingga diperoleh keuntungan yang maksimal. Model transportasi mempunyai beberapa parameter yaitu biaya transportasi, jumlah permintaan, dan penawaran tidak konstan sehingga untuk mengatasi ketidakpastian penawaran dan permintaan maka digunakan bilangan fuzzy sebagai biaya transportasi, jumlah permintaan dan penawaran. Permasalahan transportasi fuzzy merupakan permasalahan transportasi dengan jumlah permintaan, jumlah penawaran dan biaya transportasi dalam keadaan tidak pasti. Permasalahan transportasi fuzzy dapat diselesaikan menggunakan improved vogel approximation method (IVAM), improved vogel approximation method merupakan salah satu variasi dari vogel approximation method yang memberikan solusi lebih optimal. Dalam kegiatan transportasi yang dilakukan Perum Bulog Sub Divre Medan mengeluarkan biaya sebesar Rp823.478.247 pada tahun 2021, dengan menggunakan improved vogel approximation method didapat biaya yang lebih optimal yaitu sebesar Rp670.362.717. Hasil penelitian menunjukan bahwa improved vogel approximation method pada permasalahan optimasi transportasi fuzzy dapat diselesaikan dan menghasilkan solusi yang optimal.

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Juman, Z. A. M. S., Salama A. Mostafa, A. P. Batuwita, Ali AlArjani, Md Sharif Uddin, Mustafa Musa Jaber, Teg Alam i El-Awady Attia. "Close Interval Approximation of Pentagonal Fuzzy Numbers for Interval Data-Based Transportation Problems". Sustainability 14, nr 12 (17.06.2022): 7423. http://dx.doi.org/10.3390/su14127423.

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Due to globalization in this modern age of technology and other uncontrollable influences, transportation parameters can differ within a certain range of a given period. In this situation, a managerial position’s objective is to make appropriate decisions for the decision-makers. However, in general, the determination of an exact solution to the interval data-based transportation problem (IDTP) becomes an NP-hard problem as the number of choices within their respective ranges increases enormously when the number of suppliers and buyers increases. So, in practice, it is difficult for an exact method to find the exact solution to the IDTP in a reasonable time, specifically the large-sized problems with large interval sizes. This paper introduces solutions to the IDTP where supply, demand, and cost are all in interval numbers. One of the best interval approximations, namely the closed interval approximation of pentagonal fuzzy number, is proposed for solving the IDTP. First, in the proposed closed interval approximation method (Method-1), the pentagonal fuzzification method converts the IDTP to a fuzzy transportation problem (FTP). Subsequently, two new ranking methods based on centroid and in-center triangle concepts are presented to transfer the pentagonal fuzzy number into the corresponding crisp (non-fuzzy) value. Thereafter, the optimal solution was obtained using Vogel’s approximation method coupled with the modified distribution method. The proposed Method-1 is reported against a recent method and shows superior performance over the aforementioned and a proposed Method-2 via benchmark instances and new instances.

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Sembiring, Halimah Al Zaqi, Desi Putriyanti Perangin Angin Perangin Angin i Ahmad Albar Tanjung. "Minimasi Biaya Pengiriman Perusahaan Jasa J&T Menggunakan Metode Transportasi". Competitive 17, nr 2 (28.02.2023): 77–78. http://dx.doi.org/10.36618/competitive.v17i2.2580.

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Penelitian ini mengenai metode transportasi yang digunakan untuk mengatur dan mendistribusikan barang sehingga dapat mengefisiensikan biaya transportasi. Pada kasus ini untuk memecahkan masalah transportasi peneliti menggunakan metode NWC (North West Corner) dan Metode VAM (Vogel’s Approximation) sebagai pembandingnya untuk mendapatkan pengoptimalan yang terbaik. Penelitian ini mendapatkan hasil biaya yang dikeluarkan dalam pengalokasian barang/paket berdasarkan kedua metode adalah senilai Rp. 5.859.200,- dengan Dummy : 23700 Kg. Setelah hasil tersebut diperoleh penelitian ini mencoba untuk menerapkan metode penugasan (assignment) dengan menggunakan data dari upah supir yang harus dikeluarkan dalam satu pengantaran yang dilakukan. Hasil yang diperoleh dari metode penugasan adalah adalah Rp.713.499,-. Namun hasil biaya supir jika dihitung berdasarkan alur distribusi yang didapat dari metode NWC maupun metode VAM adalah senilai Rp. 1.185.333,-. Terdapat perbandingan yang cukup besar. Dari penelitian ini maka metode NWC (North West Corner) dan Metode VAM (Vogel’s Approximation) dan metode penugasan (assignment) dapat diterapkan demi mencapai hasil yang optimal.

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Pasaribu, Valdo. "APPROXIMATION VOGELS EFFECTIVENESS METHOD (VAM) MINIMIZE COST OF TRANSPORTATION." International Journal of Advanced Research 6, nr 1 (31.01.2018): 1512–17. http://dx.doi.org/10.21474/ijar01/6381.

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Ziółkowski, Jarosław, i Aleksandra Lęgas. "Problem of Modelling Road Transport". Journal of KONBiN 49, nr 3 (1.10.2019): 159–93. http://dx.doi.org/10.2478/jok-2019-0055.

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Abstract The article addressed road transport based on the proprietary numerical example. It is a typical optimization issue consisting in reducing the transportation costs between different drop-off locations. To determine the optimum transport plan, the following methods were used: North West Corner Method, Matrix Minima Method and Vogel’s Approximation Method (VAM).

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S, Dhivya Bharathi, i M. Ramya. "Comparison of Transportation Problem in Operation Research". International Journal for Research in Applied Science and Engineering Technology 10, nr 2 (28.02.2022): 1472–79. http://dx.doi.org/10.22214/ijraset.2022.40310.

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Abstract: In Operations Research, the transportation problem is one of the predominant area and it is widely used as a decision making tool in many fields. We report the basic feasible solution and hence the methods to attain the optimal solution of the balanced transportation problem. Keywords: Transportation Problem, North-West Corner Method, Least Cost Method, Vogel’s Approximation Method.

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Hussein, H. A., i M. A. K. Shiker. "A Modification to Vogel’s Approximation Method to Solve Transportation Problems". Journal of Physics: Conference Series 1591 (lipiec 2020): 012029. http://dx.doi.org/10.1088/1742-6596/1591/1/012029.

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., Hendriawan, Singgih Nugraha i Mochammad Fauzi. "Pengaplikasian Metode Stepping Stone Pada Sofware Lingo Untuk Mencari Optimasi Biaya (Studi Kasus PT Asm Mobil)". Journal of Integrated System 3, nr 1 (24.06.2020): 49–58. http://dx.doi.org/10.28932/jis.v3i1.2465.

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PT. Asm Mobil adalah perusahaan yang bergerak dalam jasa service dan penjualan material service kendaraan yang pada tahun 2019 menetapkan sistem insentif untuk meningkatkan produktivitas dari segi penjualan sehingga timbul masalah dimana salah satu cabang pada beberapa periode terakhir tidak menyentuh target yang ditetapkan untuk mendapat insentif sehingga PT. Asm Mobil akan mengoptimalkan semua pengeluaran termasuk biaya distribusi material service yang pada kasus ini menggunakan satu produk pelumas mesin yang memiliki tingkat penjualan yang relatif stabil. Pada kasus ini peneliti menggunakan metode Vogel’s Approximation Method dan metode stepping stone untuk menghitung biaya optimum secara manual lalu selanjutnya peneliti mengaplikasikan metode stepping stone pada sofware Lingo untuk memverifikasi hasil perhitungan manual tadi supaya didapat hasil yang benar-benar optimal. Perusahaan saat ini menggunakan metode sederhana dengan mengacu pada ongkos terendah tanpa memperhitungkan kuantitas barang yang dikirim sehingga biaya distribusi material yang dikeluarkan saat ini sebesar Rp 5,454,360.00 sedangkan hasil perhitungan menggunakan metode transportasi dan diverifikasi sofware Lingo didapat biaya optimumnya sebesar Rp 5,451,800.00 atau 0,99% lebih optimum dibanding metode yang dipakai saat ini. Kata kunci: Vogel’s Approximation Method, Stepping Stone, Lingo, Optimasi Biaya

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Singh, Shweta. "Optimization and analysis of some variants through Vogel’s approximation method (VAM)". IOSR Journal of Engineering 02, nr 09 (wrzesień 2012): 20–30. http://dx.doi.org/10.9790/3021-02942030.

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Aida, Fitria Noor, i Windi Rahmanda. "ANALISIS BIAYA TRANSPORTASI DISTRIBUSI PUPUK MENGGUNAKAN SOFTWARE LINGO". JURNAL REKAYASA SISTEM INDUSTRI 5, nr 2 (30.05.2020): 135. http://dx.doi.org/10.33884/jrsi.v5i2.1930.

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The distribution of fertilizers in Central Sulawesi Province has not been efficient due to the large transportation costs in March 2016, the distribution of fertilizers could not go directly to retailers because the distance between regencies was far enough so that fertilizer was sent to distributors before to retailers to minimize costs to be incurred. company. Transhipment problems are in the form of indirect distribution problems because the products sent must go through several stages before reaching the consumer. This study will compare the Vogel Approximation method in previous studies with the completion of linear programming with Lingo software tools. Transportation costs using the Vogel Approximation method in previous studies compared with transportation costs using the Lingo software tool have the same cost of IDR 508,289,000, but there are several different fertilizer distributions. Lingo software simplifies data processing so that the results obtained are more accurate than the Vogel Approximation method. Companies can use lingo software to minimize costs by working effectively and efficiently.

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Prajapati, Raju, Om Prakash Dubey i Ranjit Pradhan. "SOLUTION AND PERFORMANCE EVALUATION OF TRANS-SHIPMENT PROBLEM USING A MINIMUM SPANNING TREE APPROACH". International Journal of Students' Research in Technology & Management 8, nr 3 (1.07.2020): 09–13. http://dx.doi.org/10.18510/ijsrtm.2020.832.

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Purpose: Transportation problem plays an important role in operations research. The more generalized cases of transportation problems are trans-shipment problems. Further, the trans-shipment problems may have a set of trans-shipment nodes, or the source/destination nodes themselves act as the trans-shipment nodes. The study of the trans-shipment problems and their solution methodology is the goal of this paper. Methodology: The solution of a trans-shipment problem could be done by transferring it to a transportation problem. Further, there exist various conventional methods for solving the transportation problem. The present paper discusses about the scope of application of an existing heuristic algorithm directly over the trans-shipment problem. The heuristic is based on the minimum spanning tree approach. We implement the algorithm over a test problem and further compare its performance by the performance of the corresponding algorithm Vogel’s Approximation Method. Main findings: The spanning tree approach gives a better solution or almost the nearby solution as compared to the solution obtained by Vogel’s Approximation Method. Implications: The solution obtained by the spanning-tree approach takes lesser computational effort to reach a better feasible solution. The novelty of study: The algorithm to deal with the trans-shipment problem i.e. for finding the feasible solution of the trans-shipment problem is the main focus of this paper.Transportation Problem

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Kankarofi, R. H., U. Ayakubu, I. M. Sulaiman, M. Mamat, Sukono i M. P. A. Saputra. "Fertilizer Transportation Problem Using Vogel Approximation Method". IOP Conference Series: Materials Science and Engineering 1115, nr 1 (1.03.2021): 012005. http://dx.doi.org/10.1088/1757-899x/1115/1/012005.

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Nurhidayati, Rina, Ilham Falani, Aditia Maulana Ahmad Ruchianto, Muhamad Naufal, Tania Nur Azizah i Velyda Noer Praniasty. "Minimasi Biaya Distribusi Makanan Ringan pada UKM Marcuy dengan Metode Stepping Stone, Least Coast, VAM dan MODI". Studi Ilmu Manajemen dan Organisasi 2, nr 2 (25.10.2021): 167–81. http://dx.doi.org/10.35912/simo.v2i2.858.

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Abstract Purpose: The purpose of this research is to minimization of snack distribution costs at Marcuy SMEs using the Stepping Stone, Least Coast, VAM and MODI Method. Method: This study uses the type of data obtained is secondary data, namely the data obtained directly at UKM Makaroni Cihuy. In data processing, the data is processed using the transportation model, namely the method of Stepping Stone, least cost, vogel approximation and modi. Result: Based on the results of research on UKM Marcuy for ensure product delivery budget process using the Stepping Stone, Least Coast, Vogel Approximattion Method (VAM) and Modified Distribution (MODI) methods. From the calculation using the four methods get the same result, namely the distribution costs incurred are Rp. 31.750,- for the type of product packaging 90 gr and Rp. 67.000,- for the type of product packaging 133 gr. Limitation: This research is limited to the problem of minimizing the cost of distribution of snacks in UKM Marcuy. In addition, this study is also limited by the transportation methods used, including the Stepping stone, Least Cost, VAM, and MODI methods. Contribution: This research is expected to provide an optimal solution to the problem of optimization of distribution costs in UKM Marcuy. Furthermore, this research can be a reference for research related to the implementation of the stepping stone, least cost, VAM, and MODI methods in minimizing distribution costs.

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Alsaraireh, Ahmed Atallah. "Optimality Solution of Transportation Problem in a New Method (Summation and Ratio Method)". International Journal of Membrane Science and Technology 10, nr 4 (12.08.2023): 46–52. http://dx.doi.org/10.15379/ijmst.v10i4.1657.

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Transport problems is very important in operational research. The transport problem has been solved in several ways: north west corner, minimum cell cost and Vogel’s approximation method. In this study, I discussed a new method to find an optimal solution of transportation problems in a simple step. All methods were applied in this paper to evaluate the results and compare between them with respect to a new method. Also, the researcher discussed an example on transportation problems and the results of this study indicated which one of the methods has simple steps in the solution.

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Zabiba, Mohammed S. M., i Noor Haider Ali AlKhafaji. "Using a New Method (NOOR2) for Finding the Optimal Solution of the Transportation Problem". NeuroQuantology 20, nr 4 (30.04.2022): 518–21. http://dx.doi.org/10.14704/nq.2022.20.4.nq22322.

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The difficult of transportation is one of the most important focuses of applied mathematics, besides its prominence derives from the enlargement of life and the requirement of transportation in daily life. The object of this method is to obtain the optimal solution or the solution closest to the optimal solution for some of the problems of transportation that the Vogel’s Approximation Method (VAM) and other methods failed to find the optimal solution, A new technique is proposed to solve these types of (TP) based on using a method for finding an (IS) for an objective function of maxaturization type.

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Amisah Lubis, Loria, i Mardiningsih. "Comparison of completion of VAM, TCOM-SUM Transportation problems with Stepping Stone to Determine optimal solutions". Journal of Physics: Conference Series 2421, nr 1 (1.01.2023): 012005. http://dx.doi.org/10.1088/1742-6596/2421/1/012005.

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Abstract This research discusses to optimize the path and find out the distribution of minimum transportation costs using the VAM (Vogel’s Approximation Method) method, TOCM-SUM is then optimized through the stepping stone test. The VAM method is one of the methods of preparing a initial feasible solution by Determining the distribution table allocation to the cell that has the least cost. TOCM-SUM method to find a suitable initial solution of the transportation problem. The optimal stepping stone test aims to test the initial solution table by calculating the cost of empty cells that are passed by the stepping stone path.

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Pratama, Raynaldi Yudha, Marline Paendong i Winsy Weku. "PENGOPTIMALAN BIAYA DISTRIBUSI BERAS MISKIN DI PERUSAHAAN UMUM BADAN URUSAN LOGISTIK DIVISI REGIONAL SULAWESI UTARA DAN GORONTALO DENGAN MENGGUNAKAN METODE PENDEKATAN VOGEL". JURNAL ILMIAH SAINS 17, nr 2 (8.08.2017): 108. http://dx.doi.org/10.35799/jis.17.2.2017.16864.

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PENGOPTIMALAN BIAYA DISTRIBUSI BERAS MISKIN DI PERUSAHAAN UMUM BADAN URUSAN LOGISTIK DIVISI REGIONAL SULAWESI UTARA DAN GORONTALO DENGAN MENGGUNAKAN METODE PENDEKATAN VOGELABSTRAK Raskin merupakan salah satu dari berbagai program pemerintah Indonesia yang bertujuan untuk meningkatkan ketahanan pangan nasional melalui penyaluran beras bersubsidi bagi rumah tangga miskin. Dalam pelaksanaannya, raskin memiliki tim koordinasi yang terdiri dari beberapa lembaga negara di mana salah satunya Perusahaan Umum Badan Urusan Logistik (Perum Bulog).Penelitian ini bertujuan untuk mengoptimalkan biaya distribusi beras miskin di Sulawesi Utara dari 5 gudang ke 15 tujuan selama tahun 2016 . Penelitian ini dilakukan di perusahaan Umum Badan Urusan Logistik Divisi Regional Sulawesi Utara dan Gorontalo. Adapun kegunaan dari penelitian ini untuk mengatur alokasi pendistribusian beras miskin perusahaan sehingga mendapat biaya yang optimal. Metode analisis yang digunakan adalah menggunakan metode pendekatan vogel. Dari hasil penelitian dan perhitungan dengan program riset operasi diperoleh hasil bahwa perusahaan mengeluarkan biaya distribusi beras miskin selama tahun 2016 sebesar Rp.5.282.261.280.Kata Kunci: Metode Pendekatan Vogel, Beras Miskin, Sulawesi Utara, Gorontalo. THE OPTIMIZATION OF BERAS MISKIN DISTRIBUTION COSTS IN THE PUBLIC LOGISTICS COMPANY, REGIONAL DIVISION OF NORTH SULAWESI AND GORONTALO USING VOGEL APPROXIMATION METHOD ABSTRACTBeras miskin is one of the Indonesia government programs that aim to increase the endurance of national food through subsidized rice for the poor. In the case of realization, Beras miskin has several state institutions that included to manage it, one of them is the public logistics company. This research aims to optimize the distribution costs of Beras miskin in North Sulawesi from 5 warehouses to 15 destinations during 2016. This research has been done at The Public Logistics company, Regional Division of North Sulawesi and Gorontalo. The purpose of this research is to manage the company’s to distribute Beras Miskin with optimal cost. The Method that used in this research is Vogel approximation Method. The results of this research is the company expel the distribution costs of Beras miskin during 2016 amounts Rp.5.282.261.280. Keywords: Vogel Approximation Method, Beras Miskin, North Sulawesi, Gorontalo

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Baboş, Alina. "Statistical Methods for Solving Transportation Problems". International conference KNOWLEDGE-BASED ORGANIZATION 25, nr 2 (1.06.2019): 10–13. http://dx.doi.org/10.2478/kbo-2019-0049.

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Abstract Transportation problem is one of the models of Linear Programming problem. It deals with the situation in which a commodity from several sources is shipped to different destinations with the main objective to minimize the total shipping cost. There are three well-known methods namely, North West Corner Method Least Cost Method, Vogel’s Approximation Method to find the initial basic feasible solution of a transportation problem. In this paper, we present some statistical methods for finding the initial basic feasible solution. We use three statistical tools: arithmetic and harmonic mean and median. We present numerical examples, and we compare these results with other classical methods.

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