A one direction search method to find the exact nondominated frontier of biobjective mixed-binary linear programming problems

Ali Fattahi and Metin Turkay

European Journal of Operational Research, 2018, vol. 266, issue 2, 415-425

Abstract: The nondominated frontier (NDF) of a biobjective optimization problem is defined as the set of feasible points in the objective function space that cannot be improved in one objective function value without worsening the other. For a biobjective mixed-binary linear programming problem (BOMBLP), the NDF consists of some combination of isolated points and open, closed, or half-open/half-closed line segments. Some algorithms have been proposed in the literature to find an approximate or exact representation of the NDF. We present a one direction search (ODS) method to find the exact NDF of BOMBLPs. We provide a theoretical analysis of the ODS method and show that it generates the exact NDF. We also conduct a comprehensive experimental study on a set of benchmark problems and show the solution quality and computational efficacy of our algorithm.

Keywords: Multiple objective programming; Integer programming (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:266:y:2018:i:2:p:415-425

DOI: 10.1016/j.ejor.2017.09.026

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