Title
Minmax regret solutions for minimax optimization problems with uncertainty
Abstract
We propose a general approach for finding minmax regret solutions for a class of combinatorial optimization problems with an objective function of minimax type and uncertain objective function coefficients. The approach is based on reducing a problem with uncertainty to a number of problems without uncertainty. The method is illustrated on bottleneck combinatorial optimization problems, minimax multifacility location problems and maximum weighted tardiness scheduling problems with uncertainty.
Year
DOI
Venue
2000
10.1016/S0167-6377(00)00025-0
Oper. Res. Lett.
Keywords
Field
DocType
bottleneck combinatorial optimization problem,combinatorial optimization problem,general approach,objective function,uncertain objective function coefficient,minimax optimization problem,polynomial algorithms,minimax type,minimax multifacility location problem,maximum weighted tardiness,minmax regret solution,minmax regret optimization,optimization under uncertainty,optimization problem,scheduling problem
Minimax,Combinatorics,Probabilistic-based design optimization,Mathematical optimization,Regret,Quadratic assignment problem,L-reduction,Combinatorial optimization,1-center problem,Optimization problem,Mathematics
Journal
Volume
Issue
ISSN
27
2
Operations Research Letters
Citations 
PageRank 
References 
47
3.41
12
Authors
1
Name
Order
Citations
PageRank
Igor Averbakh169954.76