Inverse optimization for multi-objective linear programming
This paper generalizes inverse optimization for multi-objective linear programming where we are looking for the least problem modifications to make a given feasible solution a weak efficient solution. This is a natural extension of inverse optimization for single-objective linear programming with re...
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| Vydáno v: | Optimization letters Ročník 13; číslo 2; s. 281 - 294 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Springer Berlin Heidelberg
01.01.2019
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| ISSN: | 1862-4472, 1862-4480 |
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| Abstract | This paper generalizes inverse optimization for multi-objective linear programming where we are looking for the least problem modifications to make a given feasible solution a weak efficient solution. This is a natural extension of inverse optimization for single-objective linear programming with regular “optimality” replaced by the “Pareto optimality”. This extension, however, leads to a non-convex optimization problem. We prove some special characteristics of the problem, allowing us to solve the non-convex problem by solving a series of convex problems. |
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| AbstractList | This paper generalizes inverse optimization for multi-objective linear programming where we are looking for the least problem modifications to make a given feasible solution a weak efficient solution. This is a natural extension of inverse optimization for single-objective linear programming with regular "optimality" replaced by the "Pareto optimality". This extension, however, leads to a non-convex optimization problem. We prove some special characteristics of the problem, allowing us to solve the non-convex problem by solving a series of convex problems. This paper generalizes inverse optimization for multi-objective linear programming where we are looking for the least problem modifications to make a given feasible solution a weak efficient solution. This is a natural extension of inverse optimization for single-objective linear programming with regular "optimality" replaced by the "Pareto optimality". This extension, however, leads to a non-convex optimization problem. We prove some special characteristics of the problem, allowing us to solve the non-convex problem by solving a series of convex problems.This paper generalizes inverse optimization for multi-objective linear programming where we are looking for the least problem modifications to make a given feasible solution a weak efficient solution. This is a natural extension of inverse optimization for single-objective linear programming with regular "optimality" replaced by the "Pareto optimality". This extension, however, leads to a non-convex optimization problem. We prove some special characteristics of the problem, allowing us to solve the non-convex problem by solving a series of convex problems. |
| Author | Zarepisheh, Masoud Foroughi, Ali Asghar Naghavi, Mostafa |
| Author_xml | – sequence: 1 givenname: Mostafa orcidid: 0000-0002-0457-5106 surname: Naghavi fullname: Naghavi, Mostafa email: mta.naghavi@gmail.com organization: Department of Mathematics, University of Qom – sequence: 2 givenname: Ali Asghar surname: Foroughi fullname: Foroughi, Ali Asghar organization: Department of Mathematics, University of Qom – sequence: 3 givenname: Masoud surname: Zarepisheh fullname: Zarepisheh, Masoud organization: Department of Medical Physics, Memorial Sloan Kettering Cancer Center |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/35685276$$D View this record in MEDLINE/PubMed |
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| Cites_doi | 10.1007/BF01585693 10.1007/s11590-009-0131-z 10.1023/B:JOCO.0000038914.26975.9b 10.1017/CBO9780511804441 10.1287/opre.49.5.771.10607 10.1287/opre.2014.1267 10.1016/S0166-218X(01)00261-X 10.1057/palgrave.jors.2601404 10.1016/0377-0427(95)00277-4 10.1016/S0377-2217(02)00774-9 10.1016/S0377-0427(99)00080-1 10.1016/j.orl.2004.04.007 10.1080/02331934.2011.637111 10.1007/978-3-319-21091-9 10.1016/j.cam.2015.07.034 10.1016/j.ejor.2018.02.045 10.1016/j.orl.2015.02.004 10.1016/j.dam.2013.04.024 10.1287/mnsc.2017.2992 |
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| Keywords | Linear programming Inverse optimization Efficiency Multi-objective linear programming |
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