The min-p robust optimization approach for facility location problem under uncertainty
Improper value of the parameter p in robust constraints will result in no feasible solutions while applying stochastic p-robustness optimization approach (p-SRO) to solving facility location problems under uncertainty. Aiming at finding the lowest critical p-value of parameter p and corresponding ro...
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| Vydané v: | Journal of combinatorial optimization Ročník 44; číslo 2; s. 1134 - 1160 |
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| Hlavní autori: | , , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York
Springer US
01.09.2022
Springer Nature B.V |
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| ISSN: | 1382-6905, 1573-2886 |
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| Abstract | Improper value of the parameter p in robust constraints will result in no feasible solutions while applying stochastic p-robustness optimization approach (p-SRO) to solving facility location problems under uncertainty. Aiming at finding the lowest critical p-value of parameter p and corresponding robust optimal solution, we developed a novel robust optimization approach named as min-p robust optimization approach (min-pRO) for P-median problem (PMP) and fixed cost P-median problem (FPMP). Combined with the nearest allocation strategy, the vertex substitution heuristic algorithm is improved and the influencing factors of the lowest critical p-value are analyzed. The effectiveness and performance of the proposed approach are verified by numerical examples. The results show that the fluctuation range of data is positively correlated with the lowest critical p-value with given number of new facilities. However, the number of new facilities has a different impact on lowest critical p-value with the given fluctuation range of data. As the number of new facilities increases, the lowest critical p-value for PMP and FPMP increases and decreases, respectively. |
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| AbstractList | Improper value of the parameter p in robust constraints will result in no feasible solutions while applying stochastic p-robustness optimization approach (p-SRO) to solving facility location problems under uncertainty. Aiming at finding the lowest critical p-value of parameter p and corresponding robust optimal solution, we developed a novel robust optimization approach named as min-p robust optimization approach (min-pRO) for P-median problem (PMP) and fixed cost P-median problem (FPMP). Combined with the nearest allocation strategy, the vertex substitution heuristic algorithm is improved and the influencing factors of the lowest critical p-value are analyzed. The effectiveness and performance of the proposed approach are verified by numerical examples. The results show that the fluctuation range of data is positively correlated with the lowest critical p-value with given number of new facilities. However, the number of new facilities has a different impact on lowest critical p-value with the given fluctuation range of data. As the number of new facilities increases, the lowest critical p-value for PMP and FPMP increases and decreases, respectively. |
| Author | Lai, Zhizhu Yue, Qun Ge, Dongmei Chen, Yulong Zhou, Zhihong Wang, Zheng |
| Author_xml | – sequence: 1 givenname: Zhizhu orcidid: 0000-0003-1137-7586 surname: Lai fullname: Lai, Zhizhu email: laizhizhu80@hotmail.com organization: School of Geography and Environmental Engineering, Gannan Normal University, Key Laboratory of Geographic Information Science, Ministry of Education, East China Normal University – sequence: 2 givenname: Qun surname: Yue fullname: Yue, Qun organization: Key Laboratory of Geographic Information Science, Ministry of Education, East China Normal University – sequence: 3 givenname: Zheng surname: Wang fullname: Wang, Zheng email: zwang@geo.ecnu.edu.cn organization: Key Laboratory of Geographic Information Science, Ministry of Education, East China Normal University – sequence: 4 givenname: Dongmei surname: Ge fullname: Ge, Dongmei organization: Guizhou University of Engineering Science – sequence: 5 givenname: Yulong surname: Chen fullname: Chen, Yulong organization: Key Research Institute of Yellow River Civilization and Sustainable Development and Collaborative Innovation Center On Yellow River Civilization of Henan Province, Henan University – sequence: 6 givenname: Zhihong surname: Zhou fullname: Zhou, Zhihong organization: Guizhou University of Engineering Science |
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| Keywords | p-robustness Robust optimization Facility location problem Vertex substitution heuristic |
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| SubjectTerms | Algorithms Combinatorics Convex and Discrete Geometry Heuristic methods Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Operations research Operations Research/Decision Theory Optimization Parameter robustness Robustness (mathematics) Site selection Theory of Computation Uncertainty |
| Title | The min-p robust optimization approach for facility location problem under uncertainty |
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