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Multi-objective integer programming: A general approach for generating all non-dominated solutions
Date
2009-11-16
Author
Oezlen, Melih
Azizoğlu, Meral
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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In this paper we develop a general approach to generate all non-dominated solutions of the multi-objective integer programming (MOIP) Problem. Our approach, which is based on the identification of objective efficiency ranges, is an improvement over classical epsilon-constraint method. Objective efficiency ranges are identified by solving simpler MOIP problems with fewer objectives. We first provide the classical epsilon-constraint method on the bi-objective integer programming problem for the sake of completeness and comment on its efficiency. Then present our method on tri-objective integer programming problem and then extend it to the general MOIP problem with k objectives. A numerical example considering tri-objective assignment problem is also provided.
Subject Keywords
Management Science and Operations Research
,
Modelling and Simulation
,
Information Systems and Management
URI
https://hdl.handle.net/11511/43574
Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
DOI
https://doi.org/10.1016/j.ejor.2008.10.023
Collections
Department of Industrial Engineering, Article