NP-hardness of some special cases of the three-machine flow-shop problem

NP-hardness of some special cases of the three-machine flow-shop problem

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Article ID: iaor20013928
Country: China
Volume: 4
Issue: 1
Start Page Number: 43
End Page Number: 49
Publication Date: Feb 2000
Journal: OR Transactions
Authors: ,
Keywords: flowshop
Abstract:

In this paper, the authors investigate the computational complexity of some special cases of the three-machine flow-shop problem to minimize the makespan. NP-hardness is established for each of the following cases: all jobs require the same processing time on the second machine; all jobs require the same processing time on the first machine and the last machine; each job has at least one zero operation; each job contains a missing operation.

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