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Flow shop scheduling problem with conflict graphs

Nour El Houda Tellache () and Mourad Boudhar ()
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Nour El Houda Tellache: USTHB University
Mourad Boudhar: USTHB University

Annals of Operations Research, 2018, vol. 261, issue 1, 339-363

Abstract: Abstract This paper addresses the problem of scheduling jobs on flow shops subject to constraints given by an undirected graph, in which each edge joins a pair of conflicting jobs that cannot be processed simultaneously on different machines. We first show that the problem of minimizing the maximum completion time (makespan) is NP-hard for several versions. Then, we present polynomial-time solvable cases. On the other hand, we propose heuristic approaches and lower bounds alongside with an experimental study.

Keywords: Scheduling; Flow-shop; Conflict graph; Complexity; Heuristics (search for similar items in EconPapers)
Date: 2018
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Handle: RePEc:spr:annopr:v:261:y:2018:i:1:d:10.1007_s10479-017-2560-x