Batch scheduling of identical jobs on parallel identical machines

被引:8
|
作者
Mor, Baruch [1 ,2 ]
Mosheiov, Gur [1 ]
机构
[1] Hebrew Univ Jerusalem, Sch Business Adm, Jerusalem, Israel
[2] Ariel Univ, Ctr Samaria, Dept Econ & Business Adm, Ariel, Israel
关键词
Scheduling; Batch scheduling; Parallel identical machines; Flowtime; Setup times; FLOW-TIME;
D O I
10.1016/j.ipl.2012.06.020
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We study the classical batch scheduling problem with identical job processing times and identical setups on parallel identical machines. We show that, similar to the single machine case, the solution is given by a closed form, consisting of identical decreasing arithmetic sequences of batch sizes on the different machines. A very close-to-optimal integer solution is obtained in O(m + root n) time, where m is the number of machines, and n is the number of jobs. (c) 2012 Elsevier B.V. All rights reserved.
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页码:762 / 766
页数:5
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