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A binary multiple knapsack model for single machine scheduling with machine unavailability

delete2016-08-01
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Y
Yacine Laalaoui
R
Rym M’Hallah *
DOI:10.1016/j.cor.2016.02.005delete
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摘要

摘要

En 中文
This paper addresses the single machine weighted number of on-time jobs scheduling problem where the machine is unavailable during one or more maintenance periods and the jobs share a common due date. It models the problem as a binary multiple knapsack (MKP), and offers an alternative proof that the problem is NP-Complete in the strong sense. Subsequently, it shows that some large-sized instances can be solved exactly within less than a second using an off-the-shelf solver. For difficult instances, the paper proposes a variable neighborhood search based heuristic V that explores the MKP nature of the problem to determine near-optima. V is dotted with two mechanisms that speed its convergence toward near global optima: a linked list data structure and a dynamic threshold acceptance criterion. Experimental results provide computational evidence of the efficiency and efficacy of V for benchmark MKP instances and for scheduling problems alike. It further discusses the robustness of V with respect to the initial solution and problem's parameters. (C) 2016 Elsevier Ltd. All rights reserved.
Keyword:
Binary multiple knapsack
Single machine scheduling
Weighted number of tardy jobs
Variable neighborhood search
Machine maintenance
Machine availability
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C
Computers and Operations Research
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4.3
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6.5K
被引数:
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Taif University
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Kuwait University
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