Hierarchical production control in dynamic stochastic jobshops with long-run average cost
文献类型:期刊论文
作者 | Sethi, SP; Zhang, H; Zhang, Q |
刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
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出版日期 | 2000-08-01 |
卷号 | 106期号:2页码:231-264 |
关键词 | hierarchical control manufacturing systems stochastic dynamic programming optimal control long-run average cost |
ISSN号 | 0022-3239 |
英文摘要 | 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. |
WOS研究方向 | Operations Research & Management Science ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000165074200001 |
出版者 | KLUWER ACADEMIC/PLENUM PUBL |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15355] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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