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1

Yuliana, Yuliana, Tasari Tasari, Anita Setiyaningsih, Fika Aisyah Munif, and 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, no. 2 (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
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2

Syam, Rahmat, S. Sukarna, and 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, no. 2 (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
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Korukoğlu, Serdar, and Serkan Ballı. "An Improved Vogel's Approximation Method for the Transportation Problem." Mathematical and Computational Applications 16, no. 2 (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 transporta
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MATHIRAJAN, M., and B. MEENAKSHI. "EXPERIMENTAL ANALYSIS OF SOME VARIANTS OF VOGEL'S APPROXIMATION METHOD." Asia-Pacific Journal of Operational Research 21, no. 04 (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
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5

Balakrishnan, Nagraj. "Modified Vogel's approximation method for the unbalanced transportation problem." Applied Mathematics Letters 3, no. 2 (1990): 9–11. http://dx.doi.org/10.1016/0893-9659(90)90003-t.

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Sugianto, Welly, and Elva Susanti. "Optimasi OPTIMASI BIAYA TRANSPORTASI PADA UKM DI KOTA BATAM." Inaque : Journal of Industrial and Quality Engineering 9, no. 1 (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 transportati
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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, no. 3 (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
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8

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, no. 2 (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 te
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9

Çakmak, Tanyel, and Filiz Ersöz. "METHODOLOGY RECOMMENDATION FOR ONE‐CRITERION TRANSPORTATION PROBLEMS: CAKMAK METHOD." TRANSPORT 22, no. 3 (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, an
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Gujjula, Rico, Sebastian Werk, and Hans-Otto Günther. "A heuristic based on Vogel's approximation method for sequencing mixed-model assembly lines." International Journal of Production Research 49, no. 21 (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, and 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, no. 3 (2022): 236. http://dx.doi.org/10.30998/string.v6i3.10433.

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Hedid, Manal, and Rachid Zitouni. "Solving the four index fully fuzzy transportation problem." Croatian Operational Research Review 11, no. 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 so
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Sikkannan, Krishna Prabha, and Vimala Shanmugavel. "Sorting Out Fuzzy Transportation Problems via ECCT and Standard Deviation." International Journal of Operations Research and Information Systems 12, no. 2 (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 meth
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Singla, Jajji, Gourav Gupta, Mohit Kumar Kakkar, and 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, no. 1 (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. Thr
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Afiani, Marie, Susi Setiawani, and 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, no. 2 (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 transporta
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Setiawan, Setiawan, and 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, no. 2 (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 tr
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17

G., Sudha, and Ganesan K. "Interval-Fuzzy Fixed Charge Transportation Problems." International Journal of Fuzzy System Applications 11, no. 3 (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 u
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Alfianti, Windu, Reni Kurnia, Rizka Oktaviani, and Muchammad Fauzi. "PENERAPAN METODE MODIFIED DISTRIBUTION (MODI) UNTUK OPTIMALISASI BIAYA DISTRIBUSI PRODUK ALAT KESEHATAN." Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika 2, no. 2 (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
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Hamid Thanoon, Firas. "Proposed Method for Solving Transportation Problems." Wasit Journal of Pure sciences 1, no. 3 (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 t
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20

Zeeshan A, Mohammed, Apoorva Subash, and Ankitha C S. "Model Employing the VAM-MODI Method for Risk Management in the Transportation of Commodities." International Journal of Research and Review 9, no. 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 m
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Fatikasari, Najma, Bhernita Mila Yasinta, and 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, no. 1 (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 produc
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Ekanayake, E. M. D. B., and 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, no. 3 (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 north
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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, no. 2 (2022): 103. http://dx.doi.org/10.19166/jstfast.v6i2.5340.

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<p><em>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 mode
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Kembe, M. M., A. R. Kimbir, and E. M. Ogbuagu. "Minimizing the Cost of Transporting Goods Produced in an Integrated Foods Company." NIGERIAN ANNALS OF PURE AND APPLIED SCIENCES 6 (December 28, 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 Fee
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Alzahrani, Abdullah M. Y. "MITIGATION OF WASTE TRANSPORTATION COSTS IN TAIF PROVINCE, SAUDI ARABIA." Rudarsko-geološko-naftni zbornik 37, no. 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 co
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Ahmed Younis, Ashraf A., and Adel M. Alsharkasi. "USING OF HUNGARIAN METHOD TO SOLVE THE TRANSPORTATION PROBLEMS." EPH - International Journal of Applied Science 2, no. 4 (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 typ
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Rahmasari, Intan Ayu, Yani Ramdani, and Farid Hirji Badruzzaman. "Optimasi Biaya Transportasi Pengiriman Air Minum Kemasan Menggunakan Metode Nortwest Corner, Vogels Approximation dan Stepping Stone." Bandung Conference Series: Mathematics 1, no. 1 (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 numb
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SHAFARDA, MOH GHISTA KUSUMA, NI MADE ASIH, and G. K. GANDHIADI. "MEMINIMUMKAN BIAYA DISTRIBUSI JERUK MENGGUNAKAN VOGELL’S APPROXIMATION METHOD DENGAN UJI OPTIMAL STEPPING STONE." E-Jurnal Matematika 8, no. 2 (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
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Erza, Fyoni, and 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, no. 01 (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 ad
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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, no. 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.
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DEWI, NI PUTU INTAN PUSPA, NI KETUT TARI TASTRAWATI, and KARTIKA SARI. "RUSSELL’S APPROXIMATION METHOD DAN IMPROVED VOGEL’S APPROXIMATION METHOD DALAM PENYELESAIAN MASALAH TRANSPORTASI." E-Jurnal Matematika 8, no. 3 (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
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Awogbemi, Clement Adeyeye, Samson Adekola Alagbe, and Caleb Kehinde Osamo. "COMPARISON OF METHODS OF SOLVING TRANSPORTATION PROBLEMS (TP) AND RESOLVING THE ASSOCIATED VARIATIONS." International Journal of Modern Statistics 2, no. 1 (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 Metho
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Br Tarigan, Monika Vlorentina, and Muhammad Romi Syahputra. "PENYELESAIAN PERSOALAN OPTIMASI TRANSPORTASI FUZZY MENGGUNAKAN IMPROVED VOGEL APPROXIMATION METHOD." JURNAL MATHEMATIC PAEDAGOGIC 7, no. 2 (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
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Juman, Z. A. M. S., Salama A. Mostafa, A. P. Batuwita, et al. "Close Interval Approximation of Pentagonal Fuzzy Numbers for Interval Data-Based Transportation Problems." Sustainability 14, no. 12 (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 m
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Sembiring, Halimah Al Zaqi, Desi Putriyanti Perangin Angin Perangin Angin, and Ahmad Albar Tanjung. "Minimasi Biaya Pengiriman Perusahaan Jasa J&T Menggunakan Metode Transportasi." Competitive 17, no. 2 (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 me
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Pasaribu, Valdo. "APPROXIMATION VOGELS EFFECTIVENESS METHOD (VAM) MINIMIZE COST OF TRANSPORTATION." International Journal of Advanced Research 6, no. 1 (2018): 1512–17. http://dx.doi.org/10.21474/ijar01/6381.

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Ziółkowski, Jarosław, and Aleksandra Lęgas. "Problem of Modelling Road Transport." Journal of KONBiN 49, no. 3 (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, and M. Ramya. "Comparison of Transportation Problem in Operation Research." International Journal for Research in Applied Science and Engineering Technology 10, no. 2 (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., and M. A. K. Shiker. "A Modification to Vogel’s Approximation Method to Solve Transportation Problems." Journal of Physics: Conference Series 1591 (July 2020): 012029. http://dx.doi.org/10.1088/1742-6596/1591/1/012029.

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., Hendriawan, Singgih Nugraha, and Mochammad Fauzi. "Pengaplikasian Metode Stepping Stone Pada Sofware Lingo Untuk Mencari Optimasi Biaya (Studi Kasus PT Asm Mobil)." Journal of Integrated System 3, no. 1 (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
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Singh, Shweta. "Optimization and analysis of some variants through Vogel’s approximation method (VAM)." IOSR Journal of Engineering 02, no. 09 (2012): 20–30. http://dx.doi.org/10.9790/3021-02942030.

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Aida, Fitria Noor, and Windi Rahmanda. "ANALISIS BIAYA TRANSPORTASI DISTRIBUSI PUPUK MENGGUNAKAN SOFTWARE LINGO." JURNAL REKAYASA SISTEM INDUSTRI 5, no. 2 (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 w
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Prajapati, Raju, Om Prakash Dubey, and 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, no. 3 (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 t
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Kankarofi, R. H., U. Ayakubu, I. M. Sulaiman, M. Mamat, Sukono, and M. P. A. Saputra. "Fertilizer Transportation Problem Using Vogel Approximation Method." IOP Conference Series: Materials Science and Engineering 1115, no. 1 (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, and 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, no. 2 (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 Approxima
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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, no. 4 (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., and Noor Haider Ali AlKhafaji. "Using a New Method (NOOR2) for Finding the Optimal Solution of the Transportation Problem." NeuroQuantology 20, no. 4 (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
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Amisah Lubis, Loria, and Mardiningsih. "Comparison of completion of VAM, TCOM-SUM Transportation problems with Stepping Stone to Determine optimal solutions." Journal of Physics: Conference Series 2421, no. 1 (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 pass
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Pratama, Raynaldi Yudha, Marline Paendong, and 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, no. 2 (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 distri
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Baboş, Alina. "Statistical Methods for Solving Transportation Problems." International conference KNOWLEDGE-BASED ORGANIZATION 25, no. 2 (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 mea
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