Asymptotical optimality of WSEPT for stochastic online scheduling on uniform machines | |
Gu, Manzhan2; Lu, Xiwen1 | |
刊名 | ANNALS OF OPERATIONS RESEARCH |
2011-11 | |
卷号 | 191期号:1页码:97-113 |
关键词 | Scheduling Online algorithm Asymptotical optimality Uniform machines |
ISSN号 | 0254-5330 |
DOI | 10.1007/s10479-011-0985-1 |
英文摘要 | We study the stochastic online scheduling on m uniform machines with the objective to minimize the expected value of total weighted completion times of a set of jobs that arrive over time. For each job, the processing time is a random variable, and the distribution of processing time is unknown in advance. The actual processing time could be known only when the job is completed. For the problem, we propose a policy which is proved to be asymptotically optimal when the processing times and weights are uniformly bounded, i.e. the relative error of the solution achieved by our policy approaches zero as the number of jobs increases to infinity. |
WOS研究方向 | Operations Research & Management Science |
语种 | 英语 |
出版者 | SPRINGER |
WOS记录号 | WOS:000297358300005 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/2228] |
专题 | 上海财经大学 |
通讯作者 | Lu, Xiwen |
作者单位 | 1.E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China; 2.Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China |
推荐引用方式 GB/T 7714 | Gu, Manzhan,Lu, Xiwen. Asymptotical optimality of WSEPT for stochastic online scheduling on uniform machines[J]. ANNALS OF OPERATIONS RESEARCH,2011,191(1):97-113. |
APA | Gu, Manzhan,&Lu, Xiwen.(2011).Asymptotical optimality of WSEPT for stochastic online scheduling on uniform machines.ANNALS OF OPERATIONS RESEARCH,191(1),97-113. |
MLA | Gu, Manzhan,et al."Asymptotical optimality of WSEPT for stochastic online scheduling on uniform machines".ANNALS OF OPERATIONS RESEARCH 191.1(2011):97-113. |
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