OPTIMAL CONTROL POLICY FOR A BROWNIAN INVENTORY SYSTEM WITH CONCAVE ORDERING COST
文献类型：期刊论文
| 作者 | Yao, Dacheng1 ; Chao, Xiuli2; Wu, Jingchen3
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| 刊名 | JOURNAL OF APPLIED PROBABILITY
 |
| 出版日期 | 2015-12-01 |
| 卷号 | 52期号:4页码:909-925 |
| 关键词 | Brownian inventory system (s, S) policy concave ordering cost |
| ISSN号 | 0021-9002 |
| 英文摘要 | In this paper we consider an inventory system with increasing concave ordering cost and average cost optimization criterion. The demand process is modeled as a Brownian motion. Porteus (1971) studied a discrete-time version of this problem and under the strong condition that the demand distribution belongs to the class of densities that are finite convolutions of uniform and/or exponential densities (note that normal density does not belong to this class), an optimal control policy is a generalized (s, 5) policy consisting of a sequence of (s(i), S-i). Using a lower bound approach, we show that an optimal control policy for the Brownian inventory model is determined by a single pair (s, S). |
| 资助项目 | National Natural Science Foundation of China[11401566] ; National Natural Science Foundation of China[11101050] ; National Science Foundation[CMMI-1131249] ; National Science Foundation[CMMI-1362619] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000368467600001 |
| 出版者 | APPLIED PROBABILITY TRUST |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21789]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Yao, Dacheng |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Michigan, Dept Ind & Operat Engn, Ann Arbor, MI 48109 USA 3.Univ Michigan, Ann Arbor, MI 48109 USA |
| 推荐引用方式 GB/T 7714 | Yao, Dacheng,Chao, Xiuli,Wu, Jingchen. OPTIMAL CONTROL POLICY FOR A BROWNIAN INVENTORY SYSTEM WITH CONCAVE ORDERING COST[J]. JOURNAL OF APPLIED PROBABILITY,2015,52(4):909-925. |
| APA | Yao, Dacheng,Chao, Xiuli,&Wu, Jingchen.(2015).OPTIMAL CONTROL POLICY FOR A BROWNIAN INVENTORY SYSTEM WITH CONCAVE ORDERING COST.JOURNAL OF APPLIED PROBABILITY,52(4),909-925. |
| MLA | Yao, Dacheng,et al."OPTIMAL CONTROL POLICY FOR A BROWNIAN INVENTORY SYSTEM WITH CONCAVE ORDERING COST".JOURNAL OF APPLIED PROBABILITY 52.4(2015):909-925. |
入库方式： OAI收割
来源：数学与系统科学研究院
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