An asymptotically optimal algorithm for large-scale mixed job shop scheduling to minimize the makespan | |
Gu, Manzhan1,4; Lu, Xiwen2; Gu, Jinwei3,5 | |
刊名 | JOURNAL OF COMBINATORIAL OPTIMIZATION |
2017-02 | |
卷号 | 33期号:2页码:473-495 |
关键词 | Job shop Makespan Batch machine Flexible machine Available constrain |
ISSN号 | 1382-6905 |
DOI | 10.1007/s10878-015-9974-7 |
英文摘要 | This paper considers the large-scale mixed job shop scheduling problem with general number of jobs on each route. The problem includes ordinary machines, batch machines (with bounded or unbounded capacity), parallel machines, and machines with breakdowns. The objective is to find a schedule to minimize the makespan. For the problem, we define a virtual problem and a corresponding virtual schedule, based on which our algorithm TVSA is proposed. The performance analysis of the algorithm shows the gap between the obtained solution and the optimal solution is O(1), which indicates the algorithm is asymptotically optimal. |
WOS研究方向 | Computer Science ; Mathematics |
语种 | 英语 |
出版者 | SPRINGER |
WOS记录号 | WOS:000394241000007 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/1050] |
专题 | 上海财经大学 |
通讯作者 | Gu, Jinwei |
作者单位 | 1.Shandong Univ, Sch Math & Stat, Weihai 264209, Shandong, Peoples R China; 2.East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China; 3.Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Shandong, Peoples R China; 4.Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China; 5.Shanghai Univ Elect Power, Coll Econ & Management, Shanghai 200090, Peoples R China |
推荐引用方式 GB/T 7714 | Gu, Manzhan,Lu, Xiwen,Gu, Jinwei. An asymptotically optimal algorithm for large-scale mixed job shop scheduling to minimize the makespan[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION,2017,33(2):473-495. |
APA | Gu, Manzhan,Lu, Xiwen,&Gu, Jinwei.(2017).An asymptotically optimal algorithm for large-scale mixed job shop scheduling to minimize the makespan.JOURNAL OF COMBINATORIAL OPTIMIZATION,33(2),473-495. |
MLA | Gu, Manzhan,et al."An asymptotically optimal algorithm for large-scale mixed job shop scheduling to minimize the makespan".JOURNAL OF COMBINATORIAL OPTIMIZATION 33.2(2017):473-495. |
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