Total completion time minimization scheduling on two hierarchical uniform machines

Total completion time minimization scheduling on two hierarchical uniform machines
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两台分层统一机器上的总完成时间最小化调度

DOI:
10.1016/j.tcs.2017.08.016
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发表时间:
2017-11
影响因子:
1.1
通讯作者:
Zhao Yun
Zhao Yun
中科院分区:
计算机科学4区
文献类型:
--
作者:
Zhou Hao;Jiang Yiwei;Zhou Ping;Ji Min;Zhao Yun

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This paper investigates an online hierarchical scheduling problem on two uniform machines to minimize the total completion time of all jobs. Machine M 1 with a speed v 1 has a lower hierarchy and machine M 2 with a speed v 2 has a higher hierarchy. Each job has a unit processing time and a hierarchy. The job with a lower hierarchy can only be processed on the machine M 1 and the job with a higher hierarchy can be processed on any of the two machines. We consider two variants of the problem: v 1= 1≤ v 2= s and v 1= s≥ v 2= 1. For both variants, we provide parameter lower bounds and online algorithms with competitive ratio of 9− 41 2 and 33− 3 2 respectively, which are optimal in sense of constant bound.
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