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The robust shortest path problem in series-parallel multidigraphs with interval data
Authors:Adam Kasperski  Pawe? Zieliński
Affiliation:a Institute of Industrial Engineering and Management, Wroc?aw University of Technology, Wybrze?e Wyspiańskiego 27, 50-370 Wroc?aw, Poland
b Institute of Mathematics, Wroc?aw University of Technology, Wybrze?e Wyspiańskiego 27, 50-370 Wroc?aw, Poland
Abstract:In this paper the robust shortest path problem in edge series-parallel multidigraphs with interval costs is examined. The maximal regret criterion is applied to calculate the optimal solution. It is shown that this problem is NP-hard. A pseudopolynomial algorithm for the studied problem is constructed.
Keywords:Robust optimization   NP-hardness   Pseudopolynomial algorithm   Shortest path problem   Combinatorial optimization
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