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Heuristic approaches for biobjective mixed 0–1 integer linear programming problems

Banu Soylu

European Journal of Operational Research, 2015, vol. 245, issue 3, 690-703

Abstract: In this study, biobjective mixed 0–1 integer linear programming problems are considered and two heuristic approaches are presented to find the Pareto frontier of these problems. The first heuristic is a variant of the variable neighborhood search and explores the k-neighbors of a feasible solution (in terms of binary variables) to find the extreme supported Pareto points. The second heuristic is adapted from the local branching method, which is well-known in single objective mixed 0–1 integer linear programming. Finally, an algorithm is proposed to find Pareto segments of outcome line segments of these heuristics. A computational analysis is performed by using some test problems from the literature and the results are presented.

Keywords: Multiobjective programming; Biobjective mixed 0–1 integer linear programming; Variable neighborhood search; Local branching (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:245:y:2015:i:3:p:690-703

DOI: 10.1016/j.ejor.2015.04.010

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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