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

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  • Boland, Natashia
  • Charkhgard, Hadi
  • Savelsbergh, Martin

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.

Suggested Citation

  • Boland, Natashia & Charkhgard, Hadi & Savelsbergh, Martin, 2017. "The Quadrant Shrinking Method: A simple and efficient algorithm for solving tri-objective integer programs," European Journal of Operational Research, Elsevier, vol. 260(3), pages 873-885.
    • Handle: RePEc:eee:ejores:v:260:y:2017:i:3:p:873-885
    DOI: 10.1016/j.ejor.2016.03.035
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