Combinatorial two-stage minmax regret problems under interval uncertainty

May 21, 2020 Β· Declared Dead Β· πŸ› Annals of Operations Research

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Authors Marc Goerigk, Adam Kasperski, Pawel Zielinski arXiv ID 2005.10610 Category cs.DS: Data Structures & Algorithms Citations 4 Venue Annals of Operations Research Last Checked 4 months ago
Abstract
In this paper a class of combinatorial optimization problems is discussed. It is assumed that a feasible solution can be constructed in two stages. In the first stage the objective function costs are known while in the second stage they are uncertain and belong to an interval uncertainty set. In order to choose a solution, the minmax regret criterion is used. Some general properties of the problem are established and results for two particular problems, namely the shortest path and the selection problem, are shown.
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