Complexity of the min–max and min–max regret assignment problems
✍ Scribed by Hassene Aissi; Cristina Bazgan; Daniel Vanderpooten
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 179 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
✦ Synopsis
This paper investigates the complexity of the min-max and min-max regret assignment problems both in the discrete scenario and interval data cases. We show that these problems are strongly NP-hard for an unbounded number of scenarios. We also show that the interval data min-max regret assignment problem is strongly NP-hard.
📜 SIMILAR VOLUMES
For a min-max problem in the form of minxEx maxtET {A(X)}, the nondi\_fferentiability of the max function F(x) --maxtET {ft(x)} presents special difficulty in finding optimal solutions. We show that an entropic regularization procedure can provide a smooth approximation Fp(x) that uniformly converge