The Quadrant Shrinking Method: A simple and efficient algorithm for solving tri-objective integer programs

Natashia Boland, Hadi Charkhgard and Martin Savelsbergh

European Journal of Operational Research, 2017, vol. 260, issue 3, 873-885

Abstract: We present a new variant of the full 2-split algorithm, the Quadrant Shrinking Method (QSM), for finding all nondominated points of a tri-objective integer program. The algorithm is easy to implement and solves at most 3|YN|+1 single-objective integer programs when computing the nondominated frontier, where YN is the set of all nondominated points. A computational study demonstrates the efficacy of QSM.

Keywords: Tri-objective integer programs; Quadrant shrinking method; Criterion space search method; Nondominated frontier (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (20)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:260:y:2017:i:3:p:873-885

DOI: 10.1016/j.ejor.2016.03.035

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