4.7 Article

The computational complexity of the relative robust shortest path problem with interval data

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 158, Issue 3, Pages 570-576

Publisher

ELSEVIER
DOI: 10.1016/S0377-2217(03)00373-4

Keywords

combinatorial optimization; robust optimization; shortest path problem; interval data; computational complexity

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The paper deals with the relative robust shortest path problem in a directed arc weighted graph, where arc lengths are specified as intervals containing possible realizations of arc lengths. The complexity status of this problem has been unknown in the literature. We show that the problem is NP-hard. (C) 2003 Elsevier B.V. All rights reserved.

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