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Article Dans Une Revue Naval Research Logistics Année : 2018

Simple paths with exact and forbidden lengths

Résumé

We study new decision and optimization problems of finding a simple path between two given vertices in an arc weighted directed multigraph such that the path length is equal to a given number or it does not fall into the given forbidden intervals (gaps). A fairly complete computational complexity classification is provided and exact and approximation algorithms are suggested.
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Dates et versions

hal-01774847 , version 1 (24-04-2018)

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Alexandre Dolgui, Mikhail Kovalyov, Alain Quilliot. Simple paths with exact and forbidden lengths. Naval Research Logistics, 2018, 65 (1), pp.78 - 85. ⟨10.1002/nav.21783⟩. ⟨hal-01774847⟩
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