Block models for scheduling jobs on two parallel machines with a single server

被引:22
作者
Hasani, Keramat [1 ]
Kravchenko, Svetlana A. [2 ]
Werner, Frank [3 ]
机构
[1] Islamic Azad Univ, Malayer Branch, Malayer, Iran
[2] United Inst Informat Problems, Minsk 220012, BELARUS
[3] Univ Magdeburg, Fak Math, D-39016 Magdeburg, Germany
关键词
Scheduling; Parallel machines; Single server;
D O I
10.1016/j.cor.2013.08.015
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We consider the problem of scheduling a set of non-preemptable jobs on two identical parallel machines such that the makespan is minimized. Before processing, each job must be loaded on a machine, which takes a given setup time. All these setups have to be done by a single server which can handle at most one job at a time. For this problem, we propose a mixed integer linear programming formulation based on the idea of decomposing a schedule into a set of blocks. We compare the results obtained by the model suggested with known heuristics from the literature. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:94 / 97
页数:4
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