Minimizing makespan with release times on identical parallel batching machines

被引:29
|
作者
Li, SG [1 ]
Li, GJ
Zhang, SQ
机构
[1] Yantai Univ, Dept Math & Informat Sci, Yantai 264005, Peoples R China
[2] Chinese Acad Sci, Inst Software, Beijing 100080, Peoples R China
[3] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
[4] Tianjin Normal Univ, Sch Comp & Informat Engn, Tianjin 300074, Peoples R China
关键词
polynomial time approximation scheme; identical parallel hatching machines; scheduling; makespan;
D O I
10.1016/j.dam.2004.11.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the problem of scheduling n jobs on m identical parallel batching machines. Each job is characterized by a release time and a processing time. Each machine can process up to B (B < n) jobs as a batch simultaneously. The processing time of a batch is equal to the largest processing time among all jobs in the batch. The objective is to minimize the maximum completion time (makespan). We present a polynomial time approximation scheme (PTAS) for this problem. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:127 / 134
页数:8
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