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

delete2017-08-01
delete49
PRE
AI
N
Natashia Boland
H
Hadi Charkhgard *
M
Martin Savelsbergh
DOI:10.1016/j.ejor.2016.03.035delete
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Abstract

Abstract

En 中文
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 vertical bar Y-N vertical bar +1 single-objective integer programs when computing the nondominated frontier, where Y-N is the set of all nondominated points. A computational study demonstrates the efficacy of QSM. (C) 2016 Elsevier B.V. All rights reserved.
Keywords:
Tri-objective integer programs
Quadrant shrinking method
Criterion space search method
Nondominated frontier

Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

Organization

U
university system of georgia
Scholars:
7.3W
Papers: 6.5W
Citations: 101
U
University of Newcastle
Scholars:
1.5W
Papers: 1.5W
Citations: 16