Risk-control approach for bottleneck transportation problem with randomness and fuzziness
Solving transportation problems is essential in engineering and supply chain management, where profitability depends on optimal traffic flow. This study proposes risk-control approaches for two bottleneck transportation problems with random variables and preference levels to objective functions with...
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| Veröffentlicht in: | Journal of global optimization Jg. 60; H. 4; S. 663 - 678 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
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Springer US
01.12.2014
Springer Springer Nature B.V |
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| ISSN: | 0925-5001, 1573-2916 |
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| Abstract | Solving transportation problems is essential in engineering and supply chain management, where profitability depends on optimal traffic flow. This study proposes risk-control approaches for two bottleneck transportation problems with random variables and preference levels to objective functions with risk parameters. Each proposed model is formulated as a multiobjective programming problem using robust-based optimization derived from stochastic chance constraints. Since it is impossible to obtain a transportation pattern that optimizes all objective functions, our proposed models are numerically solved by introducing an aggregation function for the multiobjective problem. An exact algorithm that performs deterministic equivalent transformations and introduces auxiliary problems is also developed. |
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| AbstractList | Solving transportation problems is essential in engineering and supply chain management, where profitability depends on optimal traffic flow. This study proposes risk-control approaches for two bottleneck transportation problems with random variables and preference levels to objective functions with risk parameters. Each proposed model is formulated as a multiobjective programming problem using robust-based optimization derived from stochastic chance constraints. Since it is impossible to obtain a transportation pattern that optimizes all objective functions, our proposed models are numerically solved by introducing an aggregation function for the multiobjective problem. An exact algorithm that performs deterministic equivalent transformations and introduces auxiliary problems is also developed. Issue Title: Special Issue: OPTIMA-2012 (5 papers); regular papers Solving transportation problems is essential in engineering and supply chain management, where profitability depends on optimal traffic flow. This study proposes risk-control approaches for two bottleneck transportation problems with random variables and preference levels to objective functions with risk parameters. Each proposed model is formulated as a multiobjective programming problem using robust-based optimization derived from stochastic chance constraints. Since it is impossible to obtain a transportation pattern that optimizes all objective functions, our proposed models are numerically solved by introducing an aggregation function for the multiobjective problem. An exact algorithm that performs deterministic equivalent transformations and introduces auxiliary problems is also developed.[PUBLICATION ABSTRACT] |
| Audience | Academic |
| Author | Hasuike, Takashi |
| Author_xml | – sequence: 1 givenname: Takashi surname: Hasuike fullname: Hasuike, Takashi email: thasuike@ist.osaka-u.ac.jp organization: Graduate School of Information Science and Technology, Osaka University |
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| Cites_doi | 10.1016/S0166-218X(03)00462-1 10.1016/S0167-6377(98)00053-4 10.1002/nav.3800300103 10.1007/s10479-010-0811-1 10.1287/opre.1070.0428 10.1016/S0305-0548(97)00085-3 10.1137/1.9780898718829 10.1016/S0167-6377(99)00016-4 10.1002/nav.3800230402 10.1007/s10288-005-0066-x 10.1287/mnsc.17.4.B141 10.1137/S0895479896298130 10.1016/S0305-0548(03)00114-X 10.1002/nav.3800160307 10.1016/j.ins.2012.09.025 10.1007/s10107-003-0396-4 10.1002/nav.3800180404 10.1057/jors.1994.86 10.1016/0165-0114(78)90031-3 10.1016/S0927-0507(03)10005-9 10.1007/s10479-011-1004-2 10.1007/s12597-013-0125-6 |
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| DOI | 10.1007/s10898-014-0208-9 |
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| Keywords | Strict algorithm Multiobjective programming problem Risk-control Bottleneck transportation problem |
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| SubjectTerms | Algorithms Bottlenecks Computer Science Consumers Decision making Logistics Mathematical analysis Mathematical models Mathematical programming Mathematics Mathematics and Statistics Network management systems Normal distribution Operations Research/Decision Theory Optimization Pareto optimum Problem solving Random variables Real Functions Risk Stochastic models Supplies Supply chain management Supply chains Transformations Transportation Transportation industry Transportation problem |
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| Title | Risk-control approach for bottleneck transportation problem with randomness and fuzziness |
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