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On optimality of stochastic N-machine flowshop with long-run average cost
Presman, E; Sethi, SP; Zhang, HQ; Zhang, Q
2002
发表期刊STOCHASTIC THEORY AND CONTROL, PROCEEDINGS
ISSN0170-8643
卷号280页码:399-417
摘要This paper is concerned with the problem of production planning in a stochastic manufacturing system with serial machines that are subject to breakdown and repair. The machine capacities are modeled by a Markov chain. The objective is to choose the input rates at the various machines over time in order to meet the demand for the system's production at the minimum long-run average cost of production and surplus, while ensuring that the inventories in internal buffers between adjacent machines remain nonnegative. The problem is formulated as a stochastic dynamic program. We prove a verification theorem and derive the optimal feedback control policy in terms of the directional derivatives of the potential function.
语种英语
WOS研究方向Automation & Control Systems ; Computer Science
WOS类目Automation & Control Systems ; Computer Science, Information Systems
WOS记录号WOS:000177472100027
出版者SPRINGER-VERLAG BERLIN
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/17784
专题应用数学研究所
通讯作者Presman, E
作者单位1.Russian Acad Sci, Cent Econ & Math Inst, Moscow, Russia
2.Univ Texas, Sch Management, Richardson, TX 75083 USA
3.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
4.Univ Georgia, Dept Math, Athens, GA 30602 USA
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GB/T 7714
Presman, E,Sethi, SP,Zhang, HQ,et al. On optimality of stochastic N-machine flowshop with long-run average cost[J]. STOCHASTIC THEORY AND CONTROL, PROCEEDINGS,2002,280:399-417.
APA Presman, E,Sethi, SP,Zhang, HQ,&Zhang, Q.(2002).On optimality of stochastic N-machine flowshop with long-run average cost.STOCHASTIC THEORY AND CONTROL, PROCEEDINGS,280,399-417.
MLA Presman, E,et al."On optimality of stochastic N-machine flowshop with long-run average cost".STOCHASTIC THEORY AND CONTROL, PROCEEDINGS 280(2002):399-417.
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