A polynomial algorithm for an open shop problem with unit processing times and tree constraints

A polynomial algorithm for an open shop problem with unit processing times and tree constraints

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Article ID: iaor19971038
Country: Netherlands
Volume: 59
Issue: 1
Start Page Number: 11
End Page Number: 21
Publication Date: Apr 1995
Journal: Discrete Applied Mathematics
Authors: , ,
Keywords: scheduling
Abstract:

In this paper the authors consider the optn shop problem with unit processing times and tree constarints (outtree) between the jobs. The complexity of this problem was open. The authors present a polynomial algorithm which decomposes the problem into subproblems by means of the occurrence of unavoidable idle time. Each subproblem can be solved on the base of an algorithm for the corresponding open shop problem without tree constraints.

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