The time dependent machine makespan problem is strongly NP-complete

The time dependent machine makespan problem is strongly NP-complete

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Article ID: iaor20002063
Country: United Kingdom
Volume: 26
Issue: 8
Start Page Number: 749
End Page Number: 754
Publication Date: Jul 1999
Journal: Computers and Operations Research
Authors: ,
Keywords: combinatorial analysis, heuristics
Abstract:

The computational complexity of the problem of scheduling a set of start-time dependent tasks with deadlines and identical decreasing rates of processing times on a single machine to minimize the makespan is open. In this paper we show that the problem is strongly NP-complete by a reduction from 3-Partition.

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