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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
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume251Issue:1Pages:285-309
AbstractThis 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.
Keywordhierarchical control manufacturing systems stochastic dynamic programming optimal control long-run average cost
DOI10.1006/jmaa.2000.7047
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000165135400018
PublisherACADEMIC PRESS INC
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15202
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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