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Title: Scheduling a batch-processing machine subject to precedence constraints, release dates and identical processing times
Authors: Cheng, T. C. Edwin
Yuan, J. J.
Yang, A. F.
Subjects: Scheduling
Batch processing
Precedence constraints
Release dates
Identical processing times
Issue Date: Apr-2005
Publisher: Elsevier Ltd.
Source: Computers & operations research, Apr. 2005, v. 32, no. 4, p. 849-859.
Abstract: We consider the single machine parallel-batching scheduling problem with precedence relations, release dates and identical processing times to minimize a regular objective function. When the processing times are unit, we give an O(n²) time optimal algorithm. When there are no precedence relations, we solve this problem by dynamic programming in O(n³) time. When the precedence relations are "layerly complete", we solve this problem by a dynamic programming algorithm that runs in O(n[sup 7]) time. For the total weighted completion time minimization problem, we give an O(n²) time [3/2]-approximation algorithm. For the makespan minimization problem, we give an O(n²) time optimal algorithm and an expression of the minimum makespan.
Rights: Computers & Operations Research © 2003 Elsevier Ltd. The journal web site is located at
Type: Journal/Magazine Article
DOI: 10.1016/j.cor.2003.09.001
ISSN: 0305-0548
Appears in Collections:LMS Journal/Magazine Articles

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