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Title: Single-machine scheduling of multi-operation jobs without missing operations to minimize the total completion time
Authors: Cheng, T. C. Edwin
Ng, Chi-to Daniel
Yuan, J. J.
Subjects: Scheduling
Single machine
Multi-operation jobs
Job-batch restriction
Issue Date: 1-Dec-2008
Publisher: Elsevier B.V.
Source: European journal of operational research, 1 Dec. 2008, v. 191, no. 2, p. 320-331.
Abstract: We consider the problem of scheduling multi-operation jobs on a singe machine to minimize the total completion time. Each job consists of several operations that belong to different families. In a schedule each family of job operations may be processed as batches with each batch incurring a set-up time. A job is completed when all of its operations have been processed. We first show that the problem is strongly NP-hard even when the set-up times are common and each operation is not missing. When the operations have identical processing times and either the maximum set-up time is sufficiently small or the minimum set-up time is sufficiently large, the problem can be solved in polynomial time. We then consider the problem under the job-batch restriction in which the operations of each batch is partitioned into operation batches according to a partition of the jobs. We show that this case of the problem can be solved in polynomial time under a certain condition.
Rights: European Journal of Operational Research © 2007 Elsevier B.V. The journal web site is located at
Type: Journal/Magazine Article
DOI: 10.1016/j.ejor.2007.08.019
ISSN: 0377-2217
Appears in Collections:LMS Journal/Magazine Articles

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