Title
An approximation algorithm for interval data minmax regret combinatorial optimization problems
Abstract
The general problem of minimizing the maximal regret in combinatorial optimization problems with interval data is considered. In many cases, the minmax regret versions of the classical, polynomially solvable, combinatorial optimization problems become NP-hard and no approximation algorithms for them have been known. Our main result is a polynomial time approximation algorithm with a performance ratio of 2 for this class of problems.
Year
DOI
Venue
2006
10.1016/j.ipl.2005.11.001
Inf. Process. Lett.
Keywords
Field
DocType
main result,combinatorial optimization problem,general problem,polynomial time approximation algorithm,maximal regret,polynomially solvable,interval data,approximation algorithm,performance ratio,minmax regret version,approximation algorithms,combinatorial optimization,np hard problem,information processing,polynomial time,robust optimization
Approximation algorithm,Combinatorics,Mathematical optimization,Minimax,Regret,Robust optimization,L-reduction,Combinatorial optimization,Time complexity,Optimization problem,Mathematics
Journal
Volume
Issue
ISSN
97
5
0020-0190
Citations 
PageRank 
References 
35
1.71
10
Authors
2
Name
Order
Citations
PageRank
Adam Kasperski135233.64
Paweł Zieliński227419.73