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Chinese Academy of Sciences Institutional Repositories Grid
Hierarchical production control in a stochastic N-machine flowshop with long-run average cost

文献类型:期刊论文

作者Sethi, SP; Zhang, HQ; Zhang, Q
刊名JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
出版日期2000-11-01
卷号251期号:1页码:285-309
关键词hierarchical control manufacturing systems stochastic dynamic programming optimal control long-run average cost
ISSN号0022-247X
DOI10.1006/jmaa.2000.7047
英文摘要This paper presents an asymptotic analysis of stochastic manufacturing systems consisting of machines in tandem subject to breakdown and repair and facing a constant demand, as the sates of change of the machine states approach infinity. This situation gives rise to a limiting problem in which the stochastic machine availability is replaced by its equilibrium mean availability. The long-run average cost for the original problem converges to the long-run average cost of the limiting problem. A method of "shrinking" and "entire lifting" is introduced in order to construct the near optimal controls for the original problem by using near optimal controls of the limiting problem. The convergence rate of the long-run average cost for the original problem to that of the limiting problem is established. This helps in providing an error estimate for the constructed open-loop asymptotic optimal control. (C) 2000 Academic Press.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000165135400018
出版者ACADEMIC PRESS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/15201]  
专题应用数学研究所
通讯作者Sethi, SP
作者单位1.Univ Texas, Sch Management, Richardson, TX 75083 USA
2.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
3.Univ Georgia, Dept Math, Athens, GA 30602 USA
推荐引用方式
GB/T 7714
Sethi, SP,Zhang, HQ,Zhang, Q. Hierarchical production control in a stochastic N-machine flowshop with long-run average cost[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2000,251(1):285-309.
APA Sethi, SP,Zhang, HQ,&Zhang, Q.(2000).Hierarchical production control in a stochastic N-machine flowshop with long-run average cost.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,251(1),285-309.
MLA Sethi, SP,et al."Hierarchical production control in a stochastic N-machine flowshop with long-run average cost".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 251.1(2000):285-309.

入库方式: OAI收割

来源:数学与系统科学研究院

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