A BEST POSSIBLE ONLINE ALGORITHM FOR SCHEDULING TO MINIMIZE MAXIMUM FLOW-TIME ON BOUNDED BATCH MACHINES

被引:5
作者
Jiao, Chengwen [1 ,2 ]
Li, Wenhua [1 ]
Yuan, Jinjiang [1 ]
机构
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
关键词
Scheduling; online algorithm; parallel batch; maximum flow-time; competitive ratio; SEMICONDUCTOR INDUSTRY; MODELS;
D O I
10.1142/S0217595914500304
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We consider online scheduling of unit length jobs on m identical parallel-batch machines. Jobs arrive over time. The objective is to minimize maximum flow-time, with the flow-time of a job being the difference of its completion time and its release time. A parallel-batch machine can handle up to b jobs simultaneously as a batch. Here, the batch capacity is bounded, that is b < infinity. In this paper, we provide a best possible online algorithm for the problem with a competitive ratio of root 5+1/2 approximate to 1.618.
引用
收藏
页数:10
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