Title
Min-max and min-max regret versions of combinatorial optimization problems: A survey
Abstract
Min–max and min–max regret criteria are commonly used to define robust solutions. After motivating the use of these criteria, we present general results. Then, we survey complexity results for the min–max and min–max regret versions of some combinatorial optimization problems: shortest path, spanning tree, assignment, min cut, min s–t cut, knapsack. Since most of these problems are NP-hard, we also investigate the approximability of these problems. Furthermore, we present algorithms to solve these problems to optimality.
Year
DOI
Venue
2009
10.1016/j.ejor.2008.09.012
European Journal of Operational Research
Keywords
Field
DocType
Min–max,Min–max regret,Combinatorial optimization,Complexity,Approximation,Robustness
Combinatorics,Mathematical optimization,Regret,Combinatorial optimization problem,Shortest path problem,L-reduction,Combinatorial optimization,Robustness (computer science),Spanning tree,Knapsack problem,Mathematics
Journal
Volume
Issue
ISSN
197
2
0377-2217
Citations 
PageRank 
References 
148
4.96
47
Authors
3
Search Limit
100148
Name
Order
Citations
PageRank
Hassene Aissi131217.03
Cristina Bazgan267962.76
Daniel Vanderpooten3115374.66