SOLVING STOCHASTIC TRANSPORTATION ELECTRICITY PROBLEM WITH FUZZY INFORMATION ON PROBABILITY DISTRIBUTION USING MATLAB PROGRAM
This study focuses on MATLAB code programs of the entire stages of solving Stochastic Transportation Linear Programming Problems with Fuzzy Uncertainty Information on Probability Distribution Space (STLPPFI) with its algorithm outlines. A MATLAB code program of STLPPFI problem solver with algorithm...
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| Format: | Article |
| Language: | English |
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University of Zakho
2024-03-01
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| Series: | Science Journal of University of Zakho |
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| Online Access: | https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/1212 |
| _version_ | 1797213592815140864 |
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| author | Halgurd N. Azeez Abdulqader O. Ameen |
| author_facet | Halgurd N. Azeez Abdulqader O. Ameen |
| author_sort | Halgurd N. Azeez |
| collection | DOAJ |
| description |
This study focuses on MATLAB code programs of the entire stages of solving Stochastic Transportation Linear Programming Problems with Fuzzy Uncertainty Information on Probability Distribution Space (STLPPFI) with its algorithm outlines. A MATLAB code program of STLPPFI problem solver with algorithm outlines are proposed to solve STLPPFI model problems, and it utilizes many concepts as Alpha-Cut technique, Truth Degrees technique, Linear Fuzzy Membership Function (LFMF), Trapezoidal Fuzzy Number , Triangular Fuzzy Number , Linear Fuzzy Ranking Function (LFRF), Expectation Weighted Summation technique (EWS) and analyzing cases via second condition test of alpha-cut technique. The STLPPFI problem solver is utlized to convert STLPPFI into its corresponding equivalent Deterministic Transportation Linear Programming Problem (DTLPP) via defuzzifying from fuzziness on probability distribution space and derandomization randomness of problem formulation respectively. In addition, Dual-Simplex algorithm method with Vogel Approximation Algorithm Method (VAM) are used to obtain optimal solution from DTLPP. All MATLAB code programs with their proposed algorithm outlines are new except Dual-Simplex and VAM. The MATLAB code program of STLPPFI problem solver are more efficient along with a numerical example on electricity field illustrating practicability of this proposed MATLAB code program with its algorithm. Finally, the solution procedure illustrates the MATLAB code program of the proposed method is practical and applicable in the fields of energy and industry as it facilitates the method of transforming the energy at the lowest cost, least time running and is commercially applicable. Comparative comments are provided between Dual-Simplex and VAM in solution process.
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| first_indexed | 2024-04-24T11:00:44Z |
| format | Article |
| id | doaj.art-66c02e10fe1e48e4ac85db3de46cd333 |
| institution | Directory Open Access Journal |
| issn | 2663-628X 2663-6298 |
| language | English |
| last_indexed | 2024-04-24T11:00:44Z |
| publishDate | 2024-03-01 |
| publisher | University of Zakho |
| record_format | Article |
| series | Science Journal of University of Zakho |
| spelling | doaj.art-66c02e10fe1e48e4ac85db3de46cd3332024-04-11T21:56:00ZengUniversity of ZakhoScience Journal of University of Zakho2663-628X2663-62982024-03-0112110.25271/sjuoz.2024.12.1.1212SOLVING STOCHASTIC TRANSPORTATION ELECTRICITY PROBLEM WITH FUZZY INFORMATION ON PROBABILITY DISTRIBUTION USING MATLAB PROGRAMHalgurd N. Azeez0Abdulqader O. Ameen 1Mathematics Department, Faculty of Science and Health, Koya University, Koya, Kurdistan Region, Iraq Mathematics Department, Faculty of Science and Health, Koya University, Koya, Kurdistan Region, Iraq This study focuses on MATLAB code programs of the entire stages of solving Stochastic Transportation Linear Programming Problems with Fuzzy Uncertainty Information on Probability Distribution Space (STLPPFI) with its algorithm outlines. A MATLAB code program of STLPPFI problem solver with algorithm outlines are proposed to solve STLPPFI model problems, and it utilizes many concepts as Alpha-Cut technique, Truth Degrees technique, Linear Fuzzy Membership Function (LFMF), Trapezoidal Fuzzy Number , Triangular Fuzzy Number , Linear Fuzzy Ranking Function (LFRF), Expectation Weighted Summation technique (EWS) and analyzing cases via second condition test of alpha-cut technique. The STLPPFI problem solver is utlized to convert STLPPFI into its corresponding equivalent Deterministic Transportation Linear Programming Problem (DTLPP) via defuzzifying from fuzziness on probability distribution space and derandomization randomness of problem formulation respectively. In addition, Dual-Simplex algorithm method with Vogel Approximation Algorithm Method (VAM) are used to obtain optimal solution from DTLPP. All MATLAB code programs with their proposed algorithm outlines are new except Dual-Simplex and VAM. The MATLAB code program of STLPPFI problem solver are more efficient along with a numerical example on electricity field illustrating practicability of this proposed MATLAB code program with its algorithm. Finally, the solution procedure illustrates the MATLAB code program of the proposed method is practical and applicable in the fields of energy and industry as it facilitates the method of transforming the energy at the lowest cost, least time running and is commercially applicable. Comparative comments are provided between Dual-Simplex and VAM in solution process. https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/1212Alpha-Cut Technique AlgorithmStochastic Transportation ProblemFuzzy Information Probability DistributionTruth Degrees Technique MATLAB ProgramExpectation Weighted Summation Algorithm |
| spellingShingle | Halgurd N. Azeez Abdulqader O. Ameen SOLVING STOCHASTIC TRANSPORTATION ELECTRICITY PROBLEM WITH FUZZY INFORMATION ON PROBABILITY DISTRIBUTION USING MATLAB PROGRAM Science Journal of University of Zakho Alpha-Cut Technique Algorithm Stochastic Transportation Problem Fuzzy Information Probability Distribution Truth Degrees Technique MATLAB Program Expectation Weighted Summation Algorithm |
| title | SOLVING STOCHASTIC TRANSPORTATION ELECTRICITY PROBLEM WITH FUZZY INFORMATION ON PROBABILITY DISTRIBUTION USING MATLAB PROGRAM |
| title_full | SOLVING STOCHASTIC TRANSPORTATION ELECTRICITY PROBLEM WITH FUZZY INFORMATION ON PROBABILITY DISTRIBUTION USING MATLAB PROGRAM |
| title_fullStr | SOLVING STOCHASTIC TRANSPORTATION ELECTRICITY PROBLEM WITH FUZZY INFORMATION ON PROBABILITY DISTRIBUTION USING MATLAB PROGRAM |
| title_full_unstemmed | SOLVING STOCHASTIC TRANSPORTATION ELECTRICITY PROBLEM WITH FUZZY INFORMATION ON PROBABILITY DISTRIBUTION USING MATLAB PROGRAM |
| title_short | SOLVING STOCHASTIC TRANSPORTATION ELECTRICITY PROBLEM WITH FUZZY INFORMATION ON PROBABILITY DISTRIBUTION USING MATLAB PROGRAM |
| title_sort | solving stochastic transportation electricity problem with fuzzy information on probability distribution using matlab program |
| topic | Alpha-Cut Technique Algorithm Stochastic Transportation Problem Fuzzy Information Probability Distribution Truth Degrees Technique MATLAB Program Expectation Weighted Summation Algorithm |
| url | https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/1212 |
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