Hierarchical production control in a stochastic N-machine flowshop with long-run average cost

doi:10.1006/jmaa.2000.7047

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	Hierarchical production control in a stochastic N-machine flowshop with long-run average cost
	Sethi, SP ; Zhang, HQ; Zhang, Q
	2000-11-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	251 期号:1 页码:285-309
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.
关键词	hierarchical control manufacturing systems stochastic dynamic programming optimal control long-run average cost
DOI	10.1006/jmaa.2000.7047
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000165135400018
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15202
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.