Hierarchical production control in a stochastic N-machine flowshop with long-run average cost
文献类型：期刊论文
| 作者 | Sethi, SP; Zhang, HQ ; Zhang, Q
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2000-11-01 |
| 卷号 | 251期号:1页码:285-309 |
| 关键词 | hierarchical control manufacturing systems stochastic dynamic programming optimal control long-run average cost |
| ISSN号 | 0022-247X |
| DOI | 10.1006/jmaa.2000.7047 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000165135400018 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15201]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。