Interval data minmax regret network optimization problems
Discrete Applied Mathematics
An exact algorithm for the robust shortest path problem with interval data
Computers and Operations Research
A constraint satisfaction approach to the robust spanning tree problem with interval data
UAI'02 Proceedings of the Eighteenth conference on Uncertainty in artificial intelligence
On the complexity of the robust spanning tree problem with interval data
Operations Research Letters
The robust spanning tree problem with interval data
Operations Research Letters
A branch and bound algorithm for the robust shortest path problem with interval data
Operations Research Letters
The minimum spanning tree problem with fuzzy costs
Fuzzy Optimization and Decision Making
Simulated annealing algorithm for the robust spanning tree problem
Journal of Heuristics
Choosing robust solutions in discrete optimization problems with fuzzy costs
Fuzzy Sets and Systems
On the approximability of minmax (regret) network optimization problems
Information Processing Letters
Hi-index | 0.89 |
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.