Algorithms for two bottleneck optimization problems
Journal of Algorithms
An O(n log2n) algorithm for the maximum weighted tardiness problem
Information Processing Letters
Improved complexity bound for the maximum cardinality bottleneck bipartite matching problem
Discrete Applied Mathematics
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
Mathematical Programming: Series A and B
Complexity of minimizing the total flow time with interval data and minmax regret criterion
Discrete Applied Mathematics - Special issue: International symposium on combinatorial optimization CO'02
Minmax regret solutions for minimax optimization problems with uncertainty
Operations Research Letters
On the complexity of the robust spanning tree problem with interval data
Operations Research Letters
Minimizing maximal regret in the single machine sequencing problem with maximum lateness criterion
Operations Research Letters
Hi-index | 0.01 |
To model uncertainties in a problem one can provide intervals of uncertainty specifying a range for each uncertain parameter value. To hedge against 'worst-case scenarios', i.e., most unwelcome realizations of the uncertain parameters after a solution has been determined, the minmax-regret criterion has been adopted in robust optimization. Within this field, we consider bottleneck problems with one or more uncertain parameter functions. We apply a known polynomial time solution scheme for a number of specific problems of this type with one uncertain parameter function. This leads to improved algorithms of reduced complexity, e.g., for the bottleneck Steiner tree problem and the bottleneck assignment problem. Further, we formulate a framework to solve single machine scheduling problems in polynomial time under the maximum tardiness criterion, with up to three uncertain parameter functions.