Статті в журналах: "Multi-criteria estimation"

1

Livneh, B., and D. P. Lettenmaier. "Multi-criteria parameter estimation for the Unified Land Model." Hydrology and Earth System Sciences 16, no. 8 (August 29, 2012): 3029–48. http://dx.doi.org/10.5194/hess-16-3029-2012.

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Abstract. We describe a parameter estimation framework for the Unified Land Model (ULM) that utilizes multiple independent data sets over the continental United States. These include a satellite-based evapotranspiration (ET) product based on MODerate resolution Imaging Spectroradiometer (MODIS) and Geostationary Operational Environmental Satellites (GOES) imagery, an atmospheric-water balance based ET estimate that utilizes North American Regional Reanalysis (NARR) atmospheric fields, terrestrial water storage content (TWSC) data from the Gravity Recovery and Climate Experiment (GRACE), and streamflow (Q) primarily from the United States Geological Survey (USGS) stream gauges. The study domain includes 10 large-scale (≥105 km2) river basins and 250 smaller-scale (<104 km2) tributary basins. ULM, which is essentially a merger of the Noah Land Surface Model and Sacramento Soil Moisture Accounting Model, is the basis for these experiments. Calibrations were made using each of the data sets individually, in addition to combinations of multiple criteria, with multi-criteria skill scores computed for all cases. At large scales, calibration to Q resulted in the best overall performance, whereas certain combinations of ET and TWSC calibrations lead to large errors in other criteria. At small scales, about one-third of the basins had their highest Q performance from multi-criteria calibrations (to Q and ET) suggesting that traditional calibration to Q may benefit by supplementing observed Q with remote sensing estimates of ET. Model streamflow errors using optimized parameters were mostly due to over (under) estimation of low (high) flows. Overall, uncertainties in remote-sensing data proved to be a limiting factor in the utility of multi-criteria parameter estimation.

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2

Livneh, B., and D. P. Lettenmaier. "Multi-criteria parameter estimation for the unified land model." Hydrology and Earth System Sciences Discussions 9, no. 4 (April 3, 2012): 4417–63. http://dx.doi.org/10.5194/hessd-9-4417-2012.

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Abstract. We describe a parameter estimation framework for the Unified Land Model (ULM) that utilizes multiple independent data sets over the Continental United States. These include a satellite-based evapotranspiration (ET) product based on MODerate resolution Imaging Spectroradiometer (MODIS) and Geostationary Operation Environmental Satellites (GOES) imagery, an atmospheric-water balance based ET estimate that utilizes North American Regional Reanalysis (NARR) atmospheric fields, terrestrial water storage content (TWSC) data from the Gravity Recovery and Climate Experiment (GRACE), and streamflow (Q) primarily from the United States Geological Survey (USGS) stream gauges. The study domain includes 10 large-scale (≥105 km2) river basins and 250 smaller-scale (<104 km2) tributary basins. ULM, which is essentially a merger of the Noah Land Surface Model and Sacramento Soil Moisture Accounting model, is the basis for these experiments. Calibrations were made using each of the criteria individually, in addition to combinations of multiple criteria, with multi-criteria skill scores computed for all cases. At large-scales calibration to Q resulted in the best overall performance, whereas certain combinations of ET and TWSC calibrations lead to large errors in other criteria. At small scales, about one-third of the basins had their highest Q performance from multi-criteria calibrations (to Q and ET) suggesting that traditional calibration to Q may benefit by supplementing observed Q with remote sensing estimates of ET. Model streamflow errors using optimized parameters were mostly due to over (under) estimation of low (high) flows. Overall, uncertainties in remote-sensing data proved to be a limiting factor in the utility of multi-criteria parameter estimation.

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3

Brigadnov, Igor A. "Multi-criteria Estimation of Load-Bearing Capacity of Solids." Journal of Elasticity 140, no. 1 (January 10, 2020): 121–33. http://dx.doi.org/10.1007/s10659-019-09762-8.

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4

Sveshnikov, Sergey, Victor Bocharnikov, Anatoly Pavlikovsky, and Andrey Prima. "Estimating the potential willingness of the state to use military force based on the Sugeno fuzzy integral." Yugoslav Journal of Operations Research, no. 00 (2022): 2. http://dx.doi.org/10.2298/yjor210515002s.

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Estimation of the potential willingness of the state to use military force is an integral part of the analysis of international relations and the preparation of key decisions in security sphere. Our problem was to develop a method for numerically estimating the potential willingness of any state to use military force. This method should take into account a large number of quantitative and qualitative criteria, the uncertainty of their relationships, as well as the uncertainty of the initial data, some of which can only be obtained with the help of experts. Our analysis has shown that the known methods have a number of serious shortcomings. We proposed to solve this problem based on the representation of partial estimations of states in the form of fuzzy sets, and the importance of criteria in the form of a fuzzy measure. We also proposed to aggregate the partial estimations using the Sugeno fuzzy integral. We developed a hierarchical structure of estimation criteria, determined the importance of the criteria, built an observation channel based on the Harrington curve to obtain input estimations, and also developed an aggregation algorithm. As a result, we calculated estimations for 137 states and examined their potential willingness to use military force. The results disclose new aspects of using fuzzy-integral calculus to construct hierarchical models of multi-criteria estimating, and also demonstrate the possibility of using artificial intelligence methods to obtain numerical estimations in the sphere of international relations.

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KaurSehra, Sumeet, Yadwinder Singh Brar, and Navdeep Kaur. "Multi Criteria Decision Making Approach for Selecting Effort Estimation Model." International Journal of Computer Applications 39, no. 1 (February 29, 2012): 10–17. http://dx.doi.org/10.5120/4783-6989.

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6

Benkesmia, Yamina, Nadjla Bentekhici, and Lahcen Wahib Kebi. "ESTIMATION AND MAPPING OF INFILTRATION BASED ON A MULTI-CRITERIA ANALYSIS." Acta Geobalcanica 3, no. 1 (July 15, 2017): 27–33. http://dx.doi.org/10.18509/agb.2017.03.

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7

Coit, D. W., T. Jin, and N. Wattanapongsakorn. "System Optimization With Component Reliability Estimation Uncertainty: A Multi-Criteria Approach." IEEE Transactions on Reliability 53, no. 3 (September 2004): 369–80. http://dx.doi.org/10.1109/tr.2004.833312.

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8

Ganicheva, A. V., and A. V. Ganichev. "VECTOR MODEL FOR MULTI-CRITERIA SCORING." Scientific Review: Theory and Practice 10, no. 10 (October 30, 2020): 2245–53. http://dx.doi.org/10.35679/2226-0226-2020-10-10-2245-2253.

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To assess the performance of economic systems, criteria and performance indicators are used that show the degree of achievement of the desired performance result. To characterize complex systems in most real cases, one criterion is not enough. Therefore, several criteria are used to comprehensively characterize the system. The multi-criteria problem raises the problem of matching individual criteria when used together. There are many ways to select alternatives in the face of multiple decision criteria. This article discusses the multi-criteria comparison of objects with Pareto dominance, vector estimates with arbitrary non-negative coordinates of vectors. The advantages of vector estimates in comparison with average estimates are considered. In this work, three important theorems of multi-criteria estimation are proved. The theorems define the conditions for the equivalence of three options for comparing objects by a variety of attributes: 1) arithmetic mean values; 2) the lengths of the corresponding vectors; 3) scalar products of vectors. As the research results, the application of the developed methods for aggregating the quality indicators of the educational process into a single assessment is shown. The following indicators of the educational process were used: coefficient of diligence, coefficient of interest, coefficient of difficulty of mastering the studied material, assessment of academic performance. A four-criteria optimization problem is formulated. It is shown that the objective function reaches its extreme value at the point that is as close as possible to the point of the optimal solution of the formulated problem. The issues of multi-criteria assessment developed in the article can find application in the management of the educational process in the formation of individual trajectories of trainees, in the tasks of working with the personnel of firms and organizations (selection, training, retraining), in assessing the quality of products and in other areas of activity.

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9

Alfares, Hesham K., and Salih O. Duffuaa. "Simulation-Based Evaluation of Criteria Rank-Weighting Methods in Multi-Criteria Decision-Making." International Journal of Information Technology & Decision Making 15, no. 01 (January 2016): 43–61. http://dx.doi.org/10.1142/s0219622015500315.

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This paper presents a simulation study to assess the performance of the five known methods for converting ranks of several criteria into weights in multi-criteria decision-making. The five methods assessed for converting criteria ranks into weights are: rank- sum (RS) weights, rank reciprocal (RR) weights, rank order centroid (ROC) weights, geometric weights (GW), and variable-slope linear (VSL) weights. The methods are compared in terms of weight estimation accuracy considering different numbers of criteria and decision makers’ (MS) preference structures. Alternative preference structures are represented by different probability distributions of randomly generated criteria weights, namely the uniform, normal, and exponential distributions. Results of the simulation experiments indicate that no single method is consistently superior to all others. On average, RS is best for uniform weights, VSL is best for normal weights, and ROC is best for exponential weights. However, for any multi-criteria decision-making (MCDM) problem, the best method for converting criteria ranks into weights depends on both the number of criteria and the weight distribution.

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10

Owais, Mahmoud, Ghada S. Moussa, and Khaled F. Hussain. "Sensor location model for O/D estimation: Multi-criteria meta-heuristics approach." Operations Research Perspectives 6 (2019): 100100. http://dx.doi.org/10.1016/j.orp.2019.100100.

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11

Petrov, Konstantin, Igor Kobzev, Oleksandr Orlov, Victor Kosenko, Alisa Kosenko, and Yana Vanina. "Devising a method for identifying the model of multi-criteria expert estimation of alternatives." Eastern-European Journal of Enterprise Technologies 4, no. 3(112) (August 31, 2021): 56–65. http://dx.doi.org/10.15587/1729-4061.2021.238020.

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An approach to constructing mathematical models of individual multicriterial estimation was proposed based on information about the ordering relations established by the expert for a set of alternatives. Structural identification of the estimation model using the additive utility function of alternatives was performed within axiomatics of the multi-attribute utility theory (MAUT). A method of parametric identification of the model based on the ideas of the theory of comparative identification has been developed. To determine the model parameters, it was proposed to use the midpoint method that has resulted in the possibility of obtaining a uniform stable solution of the problem. It was shown that in this case, the problem of parametric identification of the estimation model can be reduced to a standard linear programming problem. The scalar multicriterial estimates of alternatives obtained on the basis of the synthesized mathematical model make it possible to compare them among themselves according to the degree of efficiency and, thus, choose "the best" or rank them. A significant advantage of the proposed approach is the ability to use only non-numerical information about the decisions already made by experts to solve the problem of identifying the model parameters. This enables partial reduction of the degree of expert’s subjective influence on the outcome of decision-making and reduces the cost of the expert estimation process. A method of verification of the estimation model based on the principles of cross-validation has been developed. The results of computer modeling were presented. They confirmed the effectiveness of using the proposed method of parametric model identification to solve problems related to automation of the process of intelligent decision making.

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Wagh, Rupali S., and Deepa Anand. "Legal document similarity: a multi-criteria decision-making perspective." PeerJ Computer Science 6 (March 23, 2020): e262. http://dx.doi.org/10.7717/peerj-cs.262.

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The vast volume of documents available in legal databases demands effective information retrieval approaches which take into consideration the intricacies of the legal domain. Relevant document retrieval is the backbone of the legal domain. The concept of relevance in the legal domain is very complex and multi-faceted. In this work, we propose a novel approach of concept based similarity estimation among court judgments. We use a graph-based method, to identify prominent concepts present in a judgment and extract sentences representative of these concepts. The sentences and concepts so mined are used to express/visualize likeness among concepts between a pair of documents from different perspectives. We also propose to aggregate the different levels of matching so obtained into one measure quantifying the level of similarity between a judgment pair. We employ the ordered weighted average (OWA) family of aggregation operators for obtaining the similarity value. The experimental results suggest that the proposed approach of concept based similarity is effective in the extraction of relevant legal documents and performs better than other competing techniques. Additionally, the proposed two-level abstraction of similarity enables informative visualization for deeper insights into case relevance.

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13

Mohammadpour, M., M. H. Kalajahi, R. H. Oskouei, and M. Shakouri. "Fatigue life estimation of coach peel riveted joints using multi-axial fatigue criteria." Materials & Design (1980-2015) 62 (October 2014): 327–33. http://dx.doi.org/10.1016/j.matdes.2014.05.033.

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14

Cavalcante, Charles Casimiro, and João Marcos T. Romano. "Multi-user pdf estimation based criteria for adaptive blind separation of discrete sources." Signal Processing 85, no. 5 (May 2005): 1059–72. http://dx.doi.org/10.1016/j.sigpro.2004.11.023.

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15

Petrovic, Nikola, Branko Djedovic, and Dragana Petrovic. "Project estimation and selection using the cost: Effectiveness analysis and multi-criteria analysis." Vojnotehnicki glasnik 60, no. 3 (2012): 168–87. http://dx.doi.org/10.5937/vojtehg1203168p.

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16

Swaid, Bashar, Eleonora Bilotta, Pietro Pantano, and Roberta Lucente. "Emergence nonlinear Multifractal architecture by Hypervolume estimation algorithm for evolutionary multi-criteria optimisation." International Journal of Parallel, Emergent and Distributed Systems 32, sup1 (October 20, 2017): S101—S113. http://dx.doi.org/10.1080/17445760.2017.1390094.

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Jia, Jianmin, Mohamed Ibrahim, Mohammed Hadi, Wallied Orabi, and Yan Xiao. "Multi-Criteria Evaluation Framework in Selection of Accelerated Bridge Construction (ABC) Method." Sustainability 10, no. 11 (November 6, 2018): 4059. http://dx.doi.org/10.3390/su10114059.

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Accelerated Bridge Construction (ABC) is bridge construction that uses innovative planning, design and construction methods in a safe and cost-effective manner, which reduces construction mobility and environmental impacts, and contributes to city sustainable planning and development. To deal with the pressing need to support the decisions associated with the selection between the ABC and conventional bridge construction, this paper presents the development of a multi-criteria evaluation framework. Methods are developed and identified to estimate the construction, agency, and user costs associated with the construction methods. A novel model was developed to allow the estimation of the construction and agency costs of ABC relative to conventional construction. This paper also demonstrates the estimation of user costs, including those associated with mobility, reliability, safety, and emissions, utilizing combinations of the proposed prediction method. The paper then compares the use of the return-on-investment and Technique for Order Performance by Similarity to Ideal Solution (TOPSIS) Multi-Criteria Decision Making (MCDM) evaluation approaches in the decision to select between ABC and conventional bridge construction. The results from the employment of the two approaches to a case study demonstrate the advantage of using the TOPSIS approach, which is also applicable in the urban planning process.

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Bostenaru Dan, M. D. "Multi-criteria decision model for retrofitting existing buildings." Natural Hazards and Earth System Sciences 4, no. 4 (August 18, 2004): 485–99. http://dx.doi.org/10.5194/nhess-4-485-2004.

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Abstract. Decision is an element in the risk management process. In this paper the way how science can help in decision making and implementation for retrofitting buildings in earthquake prone urban areas is investigated. In such interventions actors from various spheres are involved. Their interests range among minimising the intervention for maximal preservation or increasing it for seismic safety. Research was conducted to see how to facilitate collaboration between these actors. A particular attention was given to the role of time in actors' preferences. For this reason, on decision level, both the processural and the personal dimension of risk management, the later seen as a task, were considered. A systematic approach was employed to determine the functional structure of a participative decision model. Three layers on which actors implied in this multi-criteria decision problem interact were identified: town, building and element. So-called 'retrofit elements' are characteristic bearers in the architectural survey, engineering simulations, costs estimation and define the realms perceived by the inhabitants. This way they represent an interaction basis for the interest groups considered in a deeper study. Such orientation means for actors' interaction were designed on other levels of intervention as well. Finally, an 'experiment' for the implementation of the decision model is presented: a strategic plan for an urban intervention towards reduction of earthquake hazard impact through retrofitting. A systematic approach proves thus to be a very good communication basis among the participants in the seismic risk management process. Nevertheless, it can only be applied in later phases (decision, implementation, control) only, since it serves verifying and improving solution and not developing the concept. The 'retrofit elements' are a typical example of the detailing degree reached in the retrofit design plans in these phases.

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Bharadwaj, Madhu, Prajwal Rao, and Sowmianarayanan Srinivasan. "Implementation of Multi-Axial Fatigue Theory in FE Packages." Key Engineering Materials 719 (November 2016): 46–54. http://dx.doi.org/10.4028/www.scientific.net/kem.719.46.

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Many mechanical or structural components are subjected to multi-axial, irregular cyclic loading during service. The direction and amplitude of principal stress and strain vary over a period of time results in non-proportional cyclic loading on the component. At geometrical discontinuities, even a monotonic load will result in multi-axial state of stress. In general, the life of the components subjected to multi-axial stress loadings, are evaluated using classical yield theories. The Tresca and von Mises criterions along with Basquin-Coffin and Manson life curve are widely used in commercially available Finite Element Analysis (FEA) tools. These classical methods are conservative and may not yield good experimental correlation at all the loading conditions and this augments the need for robust life estimation methodology.There are many commercially available FEA tools to estimate the multi-axial fatigue life viz. nCODE® which uses Wang-Brown method [1]. However, it has been found that for shear dominated fatigue material Fatemi-Socie criteria is more suitable. So an attempt is made to develop a an algorithm to implement Fatemi-Socie criteria in a commercially available generic FEA software in a cost effective way. This paper discusses how to estimate the life of a sample specimen subjected to multi-axial and non-proportional loading conditions. The classical yield criteria based on von-Mises stress with Basquin-Coffin and Manson equation and critical plane method viz, Fatemi-Socie criteria are implemented in to commercial FEA tool, ANSYS. This paper also attempt to see how these theories compare with experimental data. Results of this study would help in leveraging the established process of implementing custom based life estimation method in ANSYS for the estimation of the life of the mechanical components.

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20

Dmitrenko, Alexei, Sergei Karasev, Alexandra Kalidova, and Dmitry Sivitsky. "Estimation of conditions of using combined single-track and double-track railways at high-speed traffic." MATEC Web of Conferences 216 (2018): 02010. http://dx.doi.org/10.1051/matecconf/201821602010.

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An important condition when arranging high-speed railway transportation with insignificant traffic is saving of capital investments in construction of new lines or the reconstruction the existing ones. Development of methods for multi-criteria estimation of the possibility of using fully single-track blocks on a line with high-speed traffic, as well as single-track blocks with double-track inserts, is a relevant issue. The purpose of the study is to develop the criteria and the method for estimation of the feasibility of using single-track elements on a line with high-speed traffic. Methods of simulation modeling, mathematical statistics, regression analysis were used. A method that includes estimation of the technological conditions of using single-track elements on a line with high-speed traffic instead of double-track blocks was developed. The method can be used for multi-criteria optimization of the configuration of a combined single-track and a double-track line using single-track elements in high-cost areas.

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21

Janušaitis, Rytis. "ESTIMATION OF ALTERNATIVE WALL INSULATING SOLUTIONS USING THE METHOD OF TECHNOLOGICAL NETWORK MODEL “CUTTING OUT” JUNCTIONS/SIENŲ ŠILTINIMO ALTERNATYVIŲ SPRENDIMŲ ĮVERTINIMAS, TAIKANT TECHNOLOGINIO TINKLINIO MODELIO MAZGŲ “IŠPJOVIMO” METODĄ." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 4, no. 2 (June 30, 1998): 161–70. http://dx.doi.org/10.3846/13921525.1998.10531397.

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The article investigates the problem of the dwelling house wall insulation of many-variant decisions estimation. At present multi-criteria evaluation methods are used. They provide the formal algorithm of the final effective selection of solution. However, during the optimisation of the decisions it is expedient to analyse the efficiency of intermediate decisions and those influencing the final findings. With that end in view the author suggests the multi- criteria problem of the evaluations of the variant decision using the method or technological network model of “cutting out” junctions. The main points of this method are: To cut out a comparable variant junction. Comparable variant junction is such a junction that contains at least two technological process variants. To determine comparable partial processes to the junction. To carry out a multi-criteria evaluation. To eliminate non-rational variants from further calculations. To pick out the most effective decision for the junction. From such decisions the complex process variants of wall insulation are made and multi-criteria evaluation is repeated. This method increases the abilities to raise the number of the partial alternative decisions for establishing the effectiveness ot the intermediate decisions, to receive and verify quickly final results of the decision evaluation and to decrease the amount of the calculations. “Cutting out” junction method can be used for estimating the decisions of building thermal renovation at the designing stage.

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Shahhoseini, Zahra, Milad Haghani, and Majid Sarvi. "Estimation and application of a multi-class multi-criteria mixed paired combinatorial logit model for transport networks analysis." Transportmetrica B: Transport Dynamics 3, no. 1 (September 8, 2014): 59–78. http://dx.doi.org/10.1080/21680566.2014.955148.

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23

Korshunov, G. I., V. A. Smirnov, and V. M. Milova. "Multi-criteria fuzzy model for system technical condition estimation at the life cycle stages." IOP Conference Series: Materials Science and Engineering 537 (June 18, 2019): 042019. http://dx.doi.org/10.1088/1757-899x/537/4/042019.

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Amri, Fouad, Omar Bouattane, Tajeddine Khalili, Abdelhadi Raihani, and Abdelkader Bifadene. "Toward an Evolutionary Multi-Criteria Model for the Analysis and Estimation of Wind Potential." Journal of Power and Energy Engineering 03, no. 11 (2015): 14–28. http://dx.doi.org/10.4236/jpee.2015.311002.

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25

Rouhani, Hamed, Patrick Willems, Guido Wyseure, and Jan Feyen. "Parameter estimation in semi-distributed hydrological catchment modelling using a multi-criteria objective function." Hydrological Processes 21, no. 22 (2007): 2998–3008. http://dx.doi.org/10.1002/hyp.6527.

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Nord, Erik. "Beyond QALYs: Multi-criteria based estimation of maximum willingness to pay for health technologies." European Journal of Health Economics 19, no. 2 (March 3, 2017): 267–75. http://dx.doi.org/10.1007/s10198-017-0882-x.

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27

Polikarpova, Ilze, Dace Lauka, Dagnija Blumberga, and Edgars Vigants. "Multi-Criteria Analysis to Select Renewable Energy Solution for District Heating System." Environmental and Climate Technologies 23, no. 3 (December 1, 2019): 101–9. http://dx.doi.org/10.2478/rtuect-2019-0082.

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Abstract The research paper is focused on how to choose the most suitable renewable energy solution using multi-criteria analysis for a district heating system. Making choices is based on indicators – economic, environmental and social. In this case, the study used five indicators: resources costs, totals investments, reduction of greenhouse gas emissions, specific weight of renewable energy resources and impact on utilized land. Three situations have been compared – current situation: gas boiler, planned: solar collectors 21 595 m2 + accumulation tank 8000 m3 and alternatives: solar PV panels 5504 m2 – heat pump COP 3 are used in the estimation. The multi-criteria decision-making analysis shows that solar collectors 21 595 m2 + accumulation tank 8000 m3 are considered as the best alternative. The methodology is based on choosing a solution for a district heating company in Latvia.

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Esangbedo, Moses Olabhele, and Sijun Bai. "Grey Regulatory Focus Theory Weighting Method for the Multi-Criteria Decision-Making Problem in Evaluating University Reputation." Symmetry 11, no. 2 (February 14, 2019): 230. http://dx.doi.org/10.3390/sym11020230.

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Evaluating the reputation of higher institutions is important as a benchmark for the continuous development of universities. In multi-criteria decision-making (MCDM), the estimation of the criteria weight is significant in improving the accuracy of the evaluation results. However, criteria weights assigned by decision makers (DMs) can be inaccurate when not measured from the orientations from which the DMs pursue their decision goals. This paper combines the grey system theory (GST) and regulatory focus theory (RFT) in estimating the weights of criteria by measuring the promotional and prevention focus orientations of the DMs and representing it as grey numbers. In this paper, we showed not all weight measurements from the DMs are symmetrical. In essence, to improve the accuracy of the MCDM weights, the grey regulatory focus theory (GRFT) weighting method is proposed to estimate the weights of an MCDM problem as well as aggregating the weights of the group DMs, thereby overcoming the limitation of a single orientation measurement. Furthermore, the GRFT weighting method is applied in ranking four universities in Xi’an city of China from a sample data from 1,200 students. The most reputable university is consistent with the other ranking indexes in the literature.

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Isayev, K. H., B. Kh Bekirova, E. Sh Garagozov, and S. A. Ilyasov. "Theoretic-practical approaches to the implementation of method of balanced system of parameters in evaluation of labour productivity in oil-gas developing enterprises." Azerbaijan Oil Industry, no. 4 (April 15, 2021): 43–47. http://dx.doi.org/10.37474/0365-8554/2021-4-43-47.

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Nowadays, it is necessary to consider non-financial aspects in the models of efficiency evaluation towards the estimation of business success in all respects. With this purpose, the paper presents multi-criteria models for the elimination of shortcomings and drawbacks of traditional efficiency estimation systems. Therefore, the purpose of the research is to create balanced system of parameters considering importance of multi-dimensional models for efficiency evaluation. The criterion specified by OGPD for Balanced Scorecard almost reach the values forecasted from the aspects of financies, consumers and staff training and development.

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Höller, Johannes, Patricia Bickert, Patrick Schwartz, Martin von Kurnatowski, Joachim Kerber, Niklaus Künzle, Hilke-Marie Lorenz, Norbert Asprion, Sergej Blagov, and Michael Bortz. "Parameter Estimation Strategies in Thermodynamics." ChemEngineering 3, no. 2 (June 1, 2019): 56. http://dx.doi.org/10.3390/chemengineering3020056.

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Many thermodynamic models used in practice are at least partially empirical and thus require the determination of certain parameters using experimental data. However, due to the complexity of the models involved as well as the inhomogeneity of available data, a straightforward application of basic methods often does not yield a satisfactory result. This work compares three different strategies for the numerical solution of parameter estimation problems, including errors both in the input and in the output variables. Additionally, the new idea to apply multi-criteria optimization techniques to parameter estimation problems is presented. Finally, strategies for the estimation and propagation of the model errors are discussed.

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Basak, Indrani. "Estimation of the multi-criteria worths of the alternatives in a hierarchical structure of comparisons." Communications in Statistics - Theory and Methods 18, no. 10 (January 1989): 3719–38. http://dx.doi.org/10.1080/03610928908830119.

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Frikha, Ahmed. "On the use of a multi-criteria approach for reliability estimation in belief function theory." Information Fusion 18 (July 2014): 20–32. http://dx.doi.org/10.1016/j.inffus.2013.04.010.

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Pourahmadi, Amirali, Taghi Ebadi, and Manouchehr Nikazar. "Industrial Wastes Risk Ranking with TOPSIS, Multi Criteria Decision Making Method." Civil Engineering Journal 3, no. 6 (June 30, 2017): 372–81. http://dx.doi.org/10.28991/cej-2017-00000098.

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Today, various types of industrial waste are produced in different industries to meet human demands. Growth in quantity as well as complication in quality of these wastes are followed by the advance of technology. Management of such wastes need a proper identification and comprehensive understanding of the risk, emerging after the harmful characteristics of the wastes and negatively affect the human and environment health. Wastes risk ranking systems, in this regard, links between the industrial wastes indices and mathematical method/algorithm, being able at estimation of the risk level as well as comparison between the wastes of an industrial unit based on the risk level. Complexity of the method, high computational costs and lack of proper description of waste using selected indices in former studies has led to the proposal of an applicable and flexible method. In this study, the “TOPSIS Multi-Criteria Decision-Making (MCDM) method” was developed in order for ranking the risk of various industrial wastes. Totally, a number of 9 subsidiary indices on the human health and 11 subsidiary indices on the environment health was identified and employed. Finally, the proposed waste risk ranking system was used for ranking 9 types of identified industrial waste in three industrial section. Results show that the “TOPSIS MCDM”, due to the lack of complexities in method and limited computational costs, is an efficient and appropriate method for ranking industrial wastes.

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Giel, Robert, and Artur Kierzkowski. "A Fuzzy Multi-Criteria Model for Municipal Waste Treatment Systems Evaluation including Energy Recovery." Energies 15, no. 1 (December 21, 2021): 31. http://dx.doi.org/10.3390/en15010031.

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One of the recent problems on waste sorting systems is their performance evaluation for proper decision making and management. For this purpose, multi-criteria methods can be used to evaluate the sorting system from both operational and financial perspectives. According to a recent literature review, there are no solutions for evaluating waste sorting systems that take into account: sorting point utilisation, sorting efficiency, waste stream irregularity, and technical system availability. In addition, the problem of data uncertainty and the need to use expert judgements indicate the need for the implementation of methods adjusted to the qualitative and quantitative assessment, such as the fuzzy approach. Following this, in order to overcome the presented limitations, the authors introduced the new assessment method for waste sorting systems based on multi-criteria model implementation and fuzzy theory use. Therefore, the developed model was based on a hierarchical fuzzy logic model for which appropriate membership function parameters and inference rules were defined. The specificity of the chosen assessment criteria and their justification was provided. The model has been implemented to evaluate one of the waste sorting plants in Wroclaw, Poland. Tests have been conducted for seven different configurations of waste sorting lines (with variable input parameters). The study focuses on analysing the amount of selected waste at each station in relation to the total stream size of each fraction. Efficiency was measured by the mass of the collected waste and the number of pieces of waste in each fraction. Based on the obtained results, estimations of particular parameters of the model were made, and the results were presented and commented on. It was shown that there is a significant relationship between the level of system evaluation and sorting efficiency and an inverse relationship with the level of RDF obtained. The analysis was based on Pearson’s linear correlation coefficient estimation and linear regression implementation.

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Das Adhikary, Debasis, Goutam Kumar Bose, Dipankar Bose, and Souren Mitra. "Multi criteria FMECA for coal-fired thermal power plants using COPRAS-G." International Journal of Quality & Reliability Management 31, no. 5 (April 29, 2014): 601–14. http://dx.doi.org/10.1108/ijqrm-04-2013-0068.

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Purpose – The purpose of this paper is to present a multi criterion failure mode effect and criticality analysis for coal-fired thermal power plants using uncertain data as well as substituting the traditional risk priority number estimation method. Design/methodology/approach – Grey-complex proportional assessment (COPRAS-G) method, a multi criteria decision making tool is applied to evaluate the criticalities of the failure modes (alternatives). In this model the criteria (criticality factor) against each alternative are expressed in grey number instead of crisp values. Findings – Rupture failure of the straight tube of economizer (ECO) due to erosion is the highest critical failure mode whereas rupture failure of the stub of ECO due to welding defect is the lowest critical failure mode. Originality/value – This paper incorporates human and environmental factors as additional factors which also influence the failure modes significantly. The COPRAS-G method is modified according this problem. Uncertainty in the scoring of criticality factors against each failure mode by various maintenance personnel is expressed in grey numbers.

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Shrivastava, Pooja, M. K. Verma, Meena Murmu, and Ishtiyaq Ahmad. "Multi Criteria Decision Analysis (MCDA) Framework for the Integrated Urban Water System." International Journal of Engineering & Technology 7, no. 3.6 (July 4, 2018): 290. http://dx.doi.org/10.14419/ijet.v7i3.6.15070.

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Over the past century urban water system of developed and developing cities are under increasing stress as water dearth. The estimation of possible solutions for water management in megacities requires the spatially distributed dynamic and grid-based replication of the evolution of public water infrastructure under consideration of changes (e.g. climate, global, environment, economy, and land-use). These simulations can be realized with the help of frameworks for integrated urban water system. The MCDA framework for integrated approaches of urban water system is characterized as single system (COMBINED SEWER SYSTEM) and entire system (WATER DISTRIBUTION, SEWER NETWORK etc.) investigation with consideration of decentralized system and spatial-temporal interactions and the dynamic feedback of population models to water infrastructure. Urban water system needs the frame work which will meet the sustainable needs of future. The present work identifies the best solutions for existing problems in urban water infrastructure while making interaction with stakeholders to reach sustainable framework for urban water management in this water dearth regions. This framework will provide new knowledge of sustainable integration system between the social and environmental issues.

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Jia, Jidong, Minglu Zhang, Xizhe Zang, He Zhang, and Jie Zhao. "Dynamic Parameter Identification for a Manipulator with Joint Torque Sensors Based on an Improved Experimental Design." Sensors 19, no. 10 (May 15, 2019): 2248. http://dx.doi.org/10.3390/s19102248.

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As the foundation of model control, robot dynamics is crucial. However, a robot is a complex multi-input–multi-output system. System noise seriously affects parameter identification results, thereby inevitably requiring us to conduct signal processing to extract useful signals from chaotic noise. In this research, the dynamic parameters were identified on the basis of the proposed multi-criteria embedded optimization design method, to obtain the optimal excitation signal and then use maximum likelihood estimation for parameter identification. Considering the movement coupling characteristics of the multi-axis, experiments were based on a two degrees-of-freedom manipulator with joint torque sensors. Simulation and experimental results showed that the proposed method can reasonably resolve the problem of mutual opposition within a single criterion and improve the identification robustness in comparison with other optimization criteria. The mean relative standard deviation was 0.04 and 0.3 lower in the identified parameters than in F1 and F3, respectively, thus signifying that noise is effectively alleviated. In addition, validation experimental curves were close to the estimation model, and the average of root mean square (RMS) is 0.038, thereby confirming the accuracy of the proposed method.

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Chattopadhyay, Ayan, and Upasana Bose. "An Assessment of Objectivity Convergence of Fuzzy TOPSIS Method Extended With Rank Order Weights in Group Decision Making." Asian Journal of Managerial Science 7, no. 3 (November 5, 2018): 26–33. http://dx.doi.org/10.51983/ajms-2018.7.3.1347.

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Group decision making in a multi criteria environment is a familiar business situation where the decision makers identify an ideal choice, among many. The situation gets complex when decision makers do not have crisp data to deal with. The fuzzy TOPSIS method, and its likes, provides solution to such problems and the criteria weight plays a determinant role in the overall priority estimation. This paper presents an extended fuzzy TOPSIS approach by incorporating criteria weights derived from rank order. It considers three criteria weights; the rank order centroid, rank sum and rank reciprocal weights. The criteria weights are calculated separately and integrated with fuzzy TOPSIS method to rank choices. Finally, objectivity convergence of the alternative rankings is tested. The proposed method yields a fairly uniform and consistent result in the case of supply chain management and anticipates wide application in multi criteria environment, concomitant with uncertainty and vagueness.

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Zagorskas, Jurgis, and Zenonas Turskis. "Location Preferences of New Pedestrian Bridges Based on Multi-Criteria Decision-Making and GIS-Based Estimation." Baltic Journal of Road and Bridge Engineering 15, no. 2 (June 25, 2020): 158–81. http://dx.doi.org/10.7250/bjrbe.2020-15.478.

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Non-motorized pedestrian and bicycle traffic is an effective and efficient tool for reducing the negative environmental impacts of transport and improving the quality of life in urban conditions. The strategies of creating new attractive spaces on the waterfront are prevalent amongst the municipalities in different countries. This kind of development intends the construction of new connection bridges, usually meant solely for walking and cycling. There are a significant number of studies covering the theme of pedestrian bridges, but the studies typically focus on technical parameters – serviceability, stress and vibrations, specifications for the design. Researchers and stakeholders rarely discuss displacement strategy, expenditure and future usability. This study aims to find out the best and the most useful bridge locations that would contribute to pedestrian network improvement, would add value to city image and give other benefits. A novel hybrid Multi-Criteria Decision-Making (MCDM) model, based on five different multi-criteria decision-making methods: Multiplicative Exponential Weighting (MEW), method of Evaluation Based on Distance from Average Solution (EDAS), an Additive Ratio Assessment (ARAS) method, expert judgement, and Step‐Wise Weight Assessment Ratio Analysis (SWARA), is presented. A developed model allows solving complicated problems and finding a rationally, balanced solution. Arguments derived from this study help politicians and town planners as well as society.

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Malíková, L., V. Veselý, and S. Seitl. "Estimation of the crack propagation direction in a mixed-mode geometry via multi-parameter fracture criteria." Frattura ed Integrità Strutturale 9, no. 33 (June 19, 2015): 25–32. http://dx.doi.org/10.3221/igf-esis.33.04.

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41

Maheshwari, Vaibhav, Manoj Kandpal, and Lakshminarayanan Samavedham. "Multi-Criteria Optimization Based Experimental Design for Parameter Estimation of a Double Feedback Gene Switching Model." IFAC Proceedings Volumes 46, no. 31 (2013): 333–37. http://dx.doi.org/10.3182/20131216-3-in-2044.00063.

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Beldring, S., K. Engeland, L. A. Roald, N. R. Sælthun, and A. Voksø. "Estimation of parameters in a distributed precipitation-runoff model for Norway." Hydrology and Earth System Sciences 7, no. 3 (June 30, 2003): 304–16. http://dx.doi.org/10.5194/hess-7-304-2003.

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Abstract. A distributed version of the HBV-model using 1 km2 grid cells and daily time step was used to simulate runoff from the entire land surface of Norway for the period 1961-1990. The model was sensitive to changes in small scale properties of the land surface and the climatic input data, through explicit representation of differences between model elements, and by implicit consideration of sub-grid variations in moisture status. A geographically transferable set of model parameters was determined by a multi-criteria calibration strategy, which simultaneously minimised the residuals between model simulated and observed runoff from 141 Norwegian catchments located in areas with different runoff regimes and landscape characteristics. Model discretisation units with identical landscape classification were assigned similar parameter values. Model performance was evaluated by simulating discharge from 43 independent catchments. Finally, a river routing procedure using a kinematic wave approximation to open channel flow was introduced in the model, and discharges from three additional catchments were calculated and compared with observations. The model was used to produce a map of average annual runoff for Norway for the period 1961-1990. Keywords: distributed model, multi-criteria calibration, global parameters, ungauged catchments.

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Beskorovainyi, Vladimir V., Lubomyr B. Petryshyn, and Vasyl О. Honcharenko. "Mathematical models of a multi-criteria problem of reengineering topological structures of ecological monitoring networks." Applied Aspects of Information Technology 5, no. 1 (April 17, 2022): 11–24. http://dx.doi.org/10.15276/aait.05.2022.1.

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The article deals with the theoretical aspects of the problem of reengineering the topological structures of terrestrial ecological monitoring networks. As a result of the analysis of the current state of the problem, it was revealed the need to change the network of monitoring points, to increase requirements for the efficiency and accuracy of observations, as well as to do the more advanced technologies for collecting, processing, storing and transmitting information. All this is possible due to reengineering of existing monitoring networks. This requires the improvement of network system optimization technologies and their software in terms of taking into account the features of the reengineering problem, as well as the mathematical models and methods used for this. To solve the problem of reengineering of terrestrial monitoring networks, an aggregative-decomposition approach is proposed. The approach is divided into a set of tasks considering their interconnections in terms of input and output data. This made it possible to define a set of tasks that form the basis of reengineering procedures. To increase the efficiency of technologies for computer-aided design and reengineering of networks, a set of mathematical models is proposed that covers the main stages of their life cycles. The article discusses: a systemological model of iterative technology for obtaining design solutions; analytical models for evaluating the properties of network reengineering options in terms of efficiency, reliability, survivability and costs; models for identifying effective options for network reengineering based on Karlin and Germeier theorems; a model for evaluating the local properties of options in the form of a utility function of local criteria; model of scalar multicriteria estimation of network reengineering options based on utility theory. The utility function makes it possible to implement both linear and non-linear (including Z- and S-shaped) dependencies on their values. For the practical implementation of models of multicriteria problems of reengineering of topological structures of networks, it is proposed to use the method of generation of effective design solutions in parallel with the generation and the method of comparator parametric synthesis of the scalar multicriteria estimation function. The performance and efficiency of the proposed mathematical models and methods are demonstrated by examples of solving the problems of subset selection of Paretooptimal options for building networks and parametric synthesis of the scalar multicriteria estimation function. The application in practice of the proposed set of models and methods will increase the degree of automation of network reengineering processes, reduce the time for solving the problem of multi-criteria choice due to the reduction in the time complexity of the analysis procedures, and increase the stability of the decisions made by compromising their choice only from a subset of effective ones.

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Ospel, Johanna M., Ondrej Volny, Wu Qiu, Mohamed Najm, Moiz Hafeez, Sarah Abdalrahman, Enrico Fainardi, et al. "Impact of Multiphase Computed Tomography Angiography for Endovascular Treatment Decision-Making on Outcomes in Patients with Acute Ischemic Stroke." Journal of Stroke 23, no. 3 (September 30, 2021): 377–87. http://dx.doi.org/10.5853/jos.2021.00619.

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Background and Purpose Various imaging paradigms are used for endovascular treatment (EVT) decision-making and outcome estimation in acute ischemic stroke (AIS). We aim to compare how these imaging paradigms perform for EVT patient selection and outcome estimation. Methods Prospective multi-center cohort study of patients with AIS symptoms with multi-phase computed tomography angiography (mCTA) and computed tomography perfusion (CTP) baseline imaging. mCTA-based EVT-eligibility was defined as presence of large vessel occlusion (LVO) and moderate-to-good collaterals on mCTA. CTP-based eligibility was defined as presence of LVO, ischemic core (defined on relative cerebral blood flow, absolute cerebral blood flow, and cerebral blood volume maps) <70 mL, mismatch-ratio >1.8, absolute mismatch >15 mL. EVT-eligibility and adjusted rates of good outcome (modified Rankin Scale 0–2) based on these imaging paradigms were compared.Results Of 289/464 patients with LVO, 263 (91%) were EVT-eligible by mCTA-criteria versus 63 (22%), 19 (7%) and 103 (36%) by rCBF, aCBF, and CBV-CTP-criteria. CTP and mCTA-criteria were discordant in 40% to 53%. Estimated outcomes were best in patients who met both mCTA and CTP eligibility-criteria and were treated with EVT (62% to 87% good outcome). Patients eligible for EVT by mCTA-criteria and not by CTP-criteria receiving EVT achieved good outcome rates of 53% to 57%. Few patients met CTP-criteria and not mCTA-criteria for EVT.Conclusions Simpler imaging selection criteria that rely on little else than detection of the occluded blood vessel may be more sensitive and less specific, thus resulting in more patients being offered EVT and arguably benefiting from it.

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Malíková, Lucie. "Estimation of the Plastic Zone Size from the Multi-Parameter/Generalized Form of Fracture Criteria on Various Mode I Geometries." Key Engineering Materials 662 (September 2015): 169–72. http://dx.doi.org/10.4028/www.scientific.net/kem.662.169.

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Three cracked geometries loaded in mode I are investigated and the plastic zone size calculated. For estimation of the plastic zone size, two fracture criteria are used (Rankine and von Mises). Whereas the classical criteria give the same results (the stress intensity factor being identical for each geometry), the data from numerical simulations exhibit differences for various geometries. It is shown that the multi-parameter form of the criteria enables to obtain results that agree better to the numerical ones. Particularly, the Williams expansion is utilized for approximation of the stress components that serve as inputs for the fracture criteria. It is concluded that taking into account several more initial terms of the series can help to predict the plastic zone size more accurately.

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Zavadskas, Edmundas Kazimieras, Leonas Ustinovičius, Zenonas Turskis, Gintautas Ambrasas, and Vladislavas Kutut. "ESTIMATION OF EXTERNAL WALLS DECISIONS OF MULTISTOREY RESIDENTIAL BUILDINGS APPLYING METHODS OF MULTICRITERIA ANALYSIS." Technological and Economic Development of Economy 11, no. 1 (March 31, 2005): 59–68. http://dx.doi.org/10.3846/13928619.2005.9637683.

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This paper analyses the most widespread designs of external walls of the multi‐storey residential buildings now in use. Such 49 alternative designs of external walls of multi‐storey residential buildings are analyzed using multicriteria analysis program under uncertainty. Few ways of the decision are applied for the decision of the problem: the method of distance to an ideal point, Baye's rule and Wald's rule. To project and understand effective construction of a building, it is necessary to execute exhaustive analysis of all decisions (planimetric, prolongation of term and quality of buildings operation, improvement of architectural decisions, etc.). The level of a design of external walls efficiency of multi‐storey residential buildings depends on very many factors, including: cost of the construction work, used materials and building mechanisms, aesthetics, properties of service, thermal insulation properties, durability, etc. The offered decision of the choice of the effective decision problem using the system of the criteria having different dimensions takes into account the rational estimation of economic, climatic, social conditions and traditions and also allows better to satisfy architectural, functional, service, comfort and other requirements of the client. It also allows to reduce design, building and operational expenses. The choice of a variant mainly depends on needs and existing financial ability of the customer. The offered system of the effective decision choice using the principles of the multi‐criteria analysis is described in the presented paper. There is an opportunity on the basis of the offered system to compare alternative design decisions of external walls of multi‐storey residential buildings and the choice of the most effective variants.

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Maslak, Tetiana, Mikhail Karuskevich, and Łukasz Pejkowski. "New Criterion for Aircraft Multiaxial Fatigue Analysis." MATEC Web of Conferences 304 (2019): 01020. http://dx.doi.org/10.1051/matecconf/201930401020.

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The complexity of analytical and experimental estimation of aircraft components fatigue life is determined by the irregular character of the load’s sequence, a number of stress concentrators, multiaxial stress state. Proposed early multiaxial fatigue criteria are aimed to reduce the complex multi axial loading to an equivalent uniaxial loading. These criteria cover different categories of metals but taking into account the wide variety of constructional materials, modes of loading, environmental conditions, the instrumental structural health monitoring looks a reasonable alternative or at least a strong complement to existing multiaxial fatigue analysis procedures. The new criterion has been proposed as a result of multi-scale levels study of metal surface transformation under fatigue.

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D’Isanto, A., and K. L. Polsterer. "Photometric redshift estimation via deep learning." Astronomy & Astrophysics 609 (January 2018): A111. http://dx.doi.org/10.1051/0004-6361/201731326.

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Context. The need to analyze the available large synoptic multi-band surveys drives the development of new data-analysis methods. Photometric redshift estimation is one field of application where such new methods improved the results, substantially. Up to now, the vast majority of applied redshift estimation methods have utilized photometric features. Aims. We aim to develop a method to derive probabilistic photometric redshift directly from multi-band imaging data, rendering pre-classification of objects and feature extraction obsolete. Methods. A modified version of a deep convolutional network was combined with a mixture density network. The estimates are expressed as Gaussian mixture models representing the probability density functions (PDFs) in the redshift space. In addition to the traditional scores, the continuous ranked probability score (CRPS) and the probability integral transform (PIT) were applied as performance criteria. We have adopted a feature based random forest and a plain mixture density network to compare performances on experiments with data from SDSS (DR9). Results. We show that the proposed method is able to predict redshift PDFs independently from the type of source, for example galaxies, quasars or stars. Thereby the prediction performance is better than both presented reference methods and is comparable to results from the literature. Conclusions. The presented method is extremely general and allows us to solve of any kind of probabilistic regression problems based on imaging data, for example estimating metallicity or star formation rate of galaxies. This kind of methodology is tremendously important for the next generation of surveys.

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RODZOCH, Andrzej, Dominik MIAZ, and Grzegorz JELENIEWICZ. "ESTABLISHING OF THE SPATIAL DISTRIBUTION OF DISPOSABLE GROUNDWATER RESOURCES BY MULTI-CRITERIA ANALYSIS METHOD." Biuletyn Państwowego Instytutu Geologicznego 471 (October 1, 2018): 137–46. http://dx.doi.org/10.5604/01.3001.0012.5052.

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A hydrogeologist often faces a serious difficulty in estimation of available groundwater resources. In contrast to renewable water resources, which are valuable for a study area and estimated with greater or lower precision depending on the quality of available data, disposable groundwater resources cannot be treated as a natural and relatively constant characteristic of the management area, because their size and spatial distribution depend on criteria assumed to set an optimal way for managing water supplies. Since those criteria can be defined in various ways and their significance can vary as well, spatial distribution of groundwater resources and their size can theoretically have infinite number of equally correct solutions. They can be only treated as optimal for a strictly specified set of criteria and therefore can be modified according to different needs and assumed priorities. Interpreted this way, they can only be calculated by the use of model simulation, because only a mathematical model is an effective tool for making such multi-criteria analyses. The paper presents an approach for setting criteria that limit the input and output control data, applied by HYDREKO in the process of spatial distribution of disposable groundwater resources. An example of use of this method is presented for the management area P-XVIII Dolna Warta (Rodzoch et al., 2017).

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Sudha, T. "Multi-Objective Optimization Based Multi-Objective Controller Tuning Method with Robust Stabilization of Fractional Calculus CSTR." WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL 16 (July 8, 2021): 375–82. http://dx.doi.org/10.37394/23203.2021.16.32.

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In Continuous Stirred Tank Reactor (CSTR) have Fractional order PID with the nominal order PID controller has been used to Multi-Criteria Decision Making (MCDM) and EMO (Evolutionary Multi-objective Optimization) by adjustment of control parameters like Hybrid methods in Multi objective optimization. But, this Fractional order PID with the nominal PID controller has maximum performance estimation. Proposed research work focused the Flower Pollination Algorithm based on Multi objective optimization with Genetic evaluation and Fractional order PID with the nominal PID controller is provides CSTR results. When a flower is displayed to maximum variations in this practical state, the Genetic evaluation has been used to identify the variations. The FPID (Flower Pollination Integral Derivative) is used for tuning the parameters of a Fractional order PID with the nominal PID controller for each region to improve the multi-criteria decision making. FPID also denoted as Flower Optimization Integral Derivative (FOID). The Genetic evaluation scheduler has been combined with multiple local linear Fractional order PID with the nominal PID controller to check the stability of loop for entire regions with various levels of temperatures. MATLAB results demonstrate that the feasibility of using the proposed Fractional order PID with the nominal PID controller compared than the existing PID controller, and it shows the FOID attained better results.

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