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Fathoming rules for biobjective mixed integer linear programs: Review and extensions

Belotti, Pietro; Soylu, Banu; Wiecek, Margaret M.


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        "name": "Belotti, Pietro"
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        "affiliation": "Erciyes Univ, Dept Ind Engn, TR-38039 Kayseri, Turkey", 
        "name": "Soylu, Banu"
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        "affiliation": "Clemson Univ, Dept Math Sci, Clemson, SC 29630 USA", 
        "name": "Wiecek, Margaret M."
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    "description": "We consider the class of biobjective mixed integer linear programs (BOMILPs). We review fathoming rules for general BOMILPs and present them in a unified manner. We then propose new fathoming rules that rely on solving specially designed LPs, hence making no assumption on the type of problem and only using polynomial-time algorithms. We describe an enhancement for carrying out these rules by performing a limited number of pivot operations on an LP, and then we provide insight that helps to make these rules even more efficient by either focusing on a smaller number of feasible solutions or by resorting to heuristics that limit the number of LPs solved. (C) 2016 Elsevier B.V. All rights reserved.", 
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