Title
Fathoming rules for biobjective mixed integer linear programs: Review and extensions
Abstract
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.
Year
DOI
Venue
2016
10.1016/j.disopt.2016.09.003
Discrete Optimization
Keywords
DocType
Volume
Nadir point,Nadir set,Bound set,Pareto point,Branch-and-bound
Journal
22
ISSN
Citations 
PageRank 
1572-5286
1
0.36
References 
Authors
0
3
Name
Order
Citations
PageRank
Pietro Belotti139321.19
Banu Soylu2826.17
Margaret M. Wiecek321322.90