Single-machine scheduling problems with machine aging effect and an optional maintenance activity | |
Gu, Manzhan1,5; Lu, Xiwen2; Gu, Jinwei3,6; Zhang, Ying4 | |
刊名 | APPLIED MATHEMATICAL MODELLING |
2016-11 | |
卷号 | 40期号:21-22页码:8862-8871 |
关键词 | Aging effect Maintenance Makespan Total completion times |
ISSN号 | 0307-904X |
DOI | 10.1016/j.apm.2016.01.038 |
英文摘要 | This paper considers two single-machine scheduling problems with a new type of aging effect, which is dominated by the processing speed of the machine. During the whole scheduling horizon, the machine is subject to an optional maintenance, and the duration of the maintenance depends on the length of the uptime before it. The objective is to schedule all jobs and find the location of the maintenance so as to minimize the makespan or the total completion times. The two problems are proved to be NP-complete, and two dynamic programming algorithms are proposed to solve the problems. We analyze the computation complexity of the algorithms, and show that the problems under study are solvable in polynomial time if the processing loads of all jobs are uniformly bounded. (C) 2016 Elsevier Inc. All rights reserved. |
WOS研究方向 | Engineering ; Mathematics ; Mechanics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000384853900002 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/1187] |
专题 | 上海财经大学 |
通讯作者 | Gu, Jinwei |
作者单位 | 1.Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China; 2.East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China; 3.Shanghai Univ Elect Power, Coll Econ & Management, Shanghai 200090, Peoples R China; 4.Georgia Inst Technol, Sch Elect & Comp Engn, Atlanta, GA 30332 USA; 5.Shandong Univ, Sch Math & Stat, Weihai 264209, Shandong, Peoples R China; 6.Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Shandong, Peoples R China |
推荐引用方式 GB/T 7714 | Gu, Manzhan,Lu, Xiwen,Gu, Jinwei,et al. Single-machine scheduling problems with machine aging effect and an optional maintenance activity[J]. APPLIED MATHEMATICAL MODELLING,2016,40(21-22):8862-8871. |
APA | Gu, Manzhan,Lu, Xiwen,Gu, Jinwei,&Zhang, Ying.(2016).Single-machine scheduling problems with machine aging effect and an optional maintenance activity.APPLIED MATHEMATICAL MODELLING,40(21-22),8862-8871. |
MLA | Gu, Manzhan,et al."Single-machine scheduling problems with machine aging effect and an optional maintenance activity".APPLIED MATHEMATICAL MODELLING 40.21-22(2016):8862-8871. |
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