A Multi-Objective Stochastic Solid Transportation Problem with the Supply, Demand, and Conveyance Capacity Following the Weibull Distribution
This study addresses a multi-objective stochastic solid transportation problem (MOSSTP) with uncertainties in supply, demand, and conveyance capacity, following the Weibull distribution. This study aims to minimize multiple transportation costs in a solid transportation problem (STP) under probabili...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/15/1757 |
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| author | Amrit Das Gyu M. Lee |
| author_facet | Amrit Das Gyu M. Lee |
| author_sort | Amrit Das |
| collection | DOAJ |
| description | This study addresses a multi-objective stochastic solid transportation problem (MOSSTP) with uncertainties in supply, demand, and conveyance capacity, following the Weibull distribution. This study aims to minimize multiple transportation costs in a solid transportation problem (STP) under probabilistic inequality constraints. The MOSSTP is expressed as a chance-constrained programming problem, and the probabilistic constraints are incorporated to ensure that the supply, demand, and conveyance capacity are satisfied with specified probabilities. The global criterion method and fuzzy goal programming approach have been used to solve multi-objective optimization problems. Computational results demonstrate the effectiveness of the proposed models and methodology for the MOSSTP under uncertainty. A sensitivity analysis is conducted to understand the sensitivity of parameters in the proposed model. |
| first_indexed | 2024-03-10T09:12:26Z |
| format | Article |
| id | doaj.art-c81fb72bd8034dad8e6920288590d6b6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T09:12:26Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c81fb72bd8034dad8e6920288590d6b62023-11-22T05:56:14ZengMDPI AGMathematics2227-73902021-07-01915175710.3390/math9151757A Multi-Objective Stochastic Solid Transportation Problem with the Supply, Demand, and Conveyance Capacity Following the Weibull DistributionAmrit Das0Gyu M. Lee1Department of Mathematics, VIT University, Vellore 632014, IndiaDepartment of Industrial Engineering, Pusan National University, Busan 46241, KoreaThis study addresses a multi-objective stochastic solid transportation problem (MOSSTP) with uncertainties in supply, demand, and conveyance capacity, following the Weibull distribution. This study aims to minimize multiple transportation costs in a solid transportation problem (STP) under probabilistic inequality constraints. The MOSSTP is expressed as a chance-constrained programming problem, and the probabilistic constraints are incorporated to ensure that the supply, demand, and conveyance capacity are satisfied with specified probabilities. The global criterion method and fuzzy goal programming approach have been used to solve multi-objective optimization problems. Computational results demonstrate the effectiveness of the proposed models and methodology for the MOSSTP under uncertainty. A sensitivity analysis is conducted to understand the sensitivity of parameters in the proposed model.https://www.mdpi.com/2227-7390/9/15/1757multi-objective stochastic solid transportation problemWeibull distributionchance-constrained programmingglobal criterion methodfuzzy goal programming |
| spellingShingle | Amrit Das Gyu M. Lee A Multi-Objective Stochastic Solid Transportation Problem with the Supply, Demand, and Conveyance Capacity Following the Weibull Distribution Mathematics multi-objective stochastic solid transportation problem Weibull distribution chance-constrained programming global criterion method fuzzy goal programming |
| title | A Multi-Objective Stochastic Solid Transportation Problem with the Supply, Demand, and Conveyance Capacity Following the Weibull Distribution |
| title_full | A Multi-Objective Stochastic Solid Transportation Problem with the Supply, Demand, and Conveyance Capacity Following the Weibull Distribution |
| title_fullStr | A Multi-Objective Stochastic Solid Transportation Problem with the Supply, Demand, and Conveyance Capacity Following the Weibull Distribution |
| title_full_unstemmed | A Multi-Objective Stochastic Solid Transportation Problem with the Supply, Demand, and Conveyance Capacity Following the Weibull Distribution |
| title_short | A Multi-Objective Stochastic Solid Transportation Problem with the Supply, Demand, and Conveyance Capacity Following the Weibull Distribution |
| title_sort | multi objective stochastic solid transportation problem with the supply demand and conveyance capacity following the weibull distribution |
| topic | multi-objective stochastic solid transportation problem Weibull distribution chance-constrained programming global criterion method fuzzy goal programming |
| url | https://www.mdpi.com/2227-7390/9/15/1757 |
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