PolyU Institutional Repository >
Logistics and Maritime Studies >
LMS Journal/Magazine Articles >
Please use this identifier to cite or link to this item:
|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.
|Issue Date: ||1-Dec-2008 |
|Publisher: ||Elsevier B.V.|
|Citation: ||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.|
|Description: ||DOI: 10.1016/j.ejor.2007.08.019|
|Rights: ||European Journal of Operational Research © 2007 Elsevier B.V. The journal web site is located at http://www.sciencedirect.com.|
|Type: ||Journal/Magazine Article|
|Appears in Collections:||LMS Journal/Magazine Articles|
Locate publisher version via
All items in the PolyU Institutional Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
No item in the PolyU IR may be reproduced for commercial or resale purposes.