Hierarchical production control in dynamic stochastic jobshops with long-run average cost

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	Hierarchical production control in dynamic stochastic jobshops with long-run average cost
	Sethi, SP ; Zhang, H ; Zhang, Q
	2000-08-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	106 期号:2 页码:231-264
摘要	We consider a production planning problem for a dynamic jobshop producing a number of products and subject to breakdown and repair of machines. The machine capacities are assumed to be finite-state Markov chains. As the rates of change of the machine states approach infinity, an asymptotic analysis of this stochastic manufacturing systems is given. The analysis results in 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 is shown to converge to the long-run average cost of the limiting problem. The convergence rate of the long-run average cost for the original problem to that of the limiting problem together with an error estimate for the constructed asymptotic optimal control is established.
关键词	hierarchical control manufacturing systems stochastic dynamic programming optimal control long-run average cost
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000165074200001
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15356
专题	中国科学院数学与系统科学研究院
通讯作者	Sethi, SP
作者单位	1.Univ Texas, Sch Management, Richardson, TX 75080 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, H,Zhang, Q. Hierarchical production control in dynamic stochastic jobshops with long-run average cost[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2000,106(2):231-264.
APA	Sethi, SP,Zhang, H,&Zhang, Q.(2000).Hierarchical production control in dynamic stochastic jobshops with long-run average cost.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,106(2),231-264.
MLA	Sethi, SP,et al."Hierarchical production control in dynamic stochastic jobshops with long-run average cost".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 106.2(2000):231-264.