Solution approaches for equitable multiobjective integer programming problems
We consider multi-objective optimization problems where the decision maker (DM) has equity concerns. We assume that the preference model of the DM satisfies properties related to inequity-aversion, hence we focus on finding nondominated solutions in line with the properties of inequity-averse prefer...
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| Veröffentlicht in: | Annals of operations research Jg. 311; H. 2; S. 967 - 995 |
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| Sprache: | Englisch |
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01.04.2022
Springer Springer Nature B.V |
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| ISSN: | 0254-5330, 1572-9338 |
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| Abstract | We consider multi-objective optimization problems where the decision maker (DM) has equity concerns. We assume that the preference model of the DM satisfies properties related to inequity-aversion, hence we focus on finding nondominated solutions in line with the properties of inequity-averse preferences, namely the equitably nondominated solutions. We discuss two algorithms for finding good subsets of equitably nondominated solutions. The first approach is an extension of an interactive approach developed for finding the most preferred nondominated solution when the utility function is assumed to be quasiconcave. We find the most preferred equitably nondominated solution when the utility function is assumed to be symmetric quasiconcave. In the second approach we generate an evenly distributed subset of the set of equitably nondominated solutions to be considered further by the DM. We show the computational feasibility of the two algorithms on equitable multi-objective knapsack problem, in which projects in different categories are to be funded subject to a limited budget. We perform experiments to show and discuss the performances of the algorithms. |
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| AbstractList | We consider multi-objective optimization problems where the decision maker (DM) has equity concerns. We assume that the preference model of the DM satisfies properties related to inequity-aversion, hence we focus on finding nondominated solutions in line with the properties of inequity-averse preferences, namely the equitably nondominated solutions. We discuss two algorithms for finding good subsets of equitably nondominated solutions. The first approach is an extension of an interactive approach developed for finding the most preferred nondominated solution when the utility function is assumed to be quasiconcave. We find the most preferred equitably nondominated solution when the utility function is assumed to be symmetric quasiconcave. In the second approach we generate an evenly distributed subset of the set of equitably nondominated solutions to be considered further by the DM. We show the computational feasibility of the two algorithms on equitable multi-objective knapsack problem, in which projects in different categories are to be funded subject to a limited budget. We perform experiments to show and discuss the performances of the algorithms. |
| Audience | Academic |
| Author | Karsu, Özlem Bashir, Bashir |
| Author_xml | – sequence: 1 givenname: Bashir surname: Bashir fullname: Bashir, Bashir organization: Department of Industrial Engineering, Bilkent University – sequence: 2 givenname: Özlem surname: Karsu fullname: Karsu, Özlem email: ozlemkarsu@bilkent.edu.tr organization: Department of Industrial Engineering, Bilkent University |
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| CitedBy_id | crossref_primary_10_3390_su151512066 crossref_primary_10_1080_03155986_2025_2539634 |
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| Keywords | Convex cones Equitable efficiency Interactive algorithm Equitable dominance Equitable preferences Multiobjective integer programming Generalized Lorenz dominance Multi-objective knapsack problem Fairness |
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| SubjectTerms | Algorithms Analysis Business and Management Combinatorics Decision making Integer programming Job shops Knapsack problem Mathematical optimization Multiple objective analysis Operations research Operations Research/Decision Theory Optimization S.i.: Mopgp19 Theory of Computation Utility functions |
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| Title | Solution approaches for equitable multiobjective integer programming problems |
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