A new approximation algorithm for UET-scheduling with chain-type precedence constraints

被引：3
|
作者：
Han, JY [1 ]
Wen, JJ
Zhang, GC
机构：
[1] Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
[2] Graz Tech Univ, Inst Math, A-8010 Graz, Austria
来源：
COMPUTERS & OPERATIONS RESEARCH | 1998年 / 25卷 / 09期
关键词：
precedence constraints; parallel machines; makespan; approximation algorithm;
D O I：
10.1016/S0305-0548(98)00022-7
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper a new approximation algorithm with worst case performance ratio 3/2 is presented for the problem of scheduling unit execution time jobs on two parallel machines with the objective of minimizing the makespan where each job can be processed on only one machine and there are chain-type precedence constraints in the jobs. This result answers an open problem in Jansen et al. [Jansen, K., Woeginger, G. J. and Yu, Z., UET-Scheduling with chain-type precedence constraints. Report 277, Technische Universitat Graz, Institut fur Mathematik, Graz, Austria, 1993.]: "Does there exist a polynomial time heuristic with worst-case guarantee better than 5/3 for the problem U2Chain?". The new approximation algorithm is also applied to the problem J2\pmtn\C-max. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：767 / 771
页数：5
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