| Downside Risk-Aversion Analysis for a Single-Stage Newsvendor Problem |
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| 作者姓名： | YANG Lei GAO Chengxiu CHEN Kebing LI Jianbin |
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| 作者单位： | School of Mathematics and Statistics, Wuhan University,Wuhan 430072,Hubei, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （70471034, A0324666） |
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| 摘 要： | We extend the classical newsvendor problem by introducing a downside risk constraint from the perspective of inventory control. At the beginning of a replenishment period the newsvendor will place an order, then he will review the inventory level at the end of the period. If the inventory level is positive then he will bear the holding cost and if the inventory level is negative then he will bear the backorder cost. The optimal order quantity has a simple form. We analyze the form of the optimal order quan-tity when we restrict that the probability that the cost level is larger than or equal to a fixed cost constant is less than a fixed value of probability. At last, we analyze the case that the fixed cost constant is equal to the expected cost.
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| 关 键 词： | 报童问题 库存管理 风险规避分析 供应链 |
| 文章编号： | 1007-1202（2007）02-0198-05 |
| 收稿时间： | 2006-03-01 |
Downside risk-aversion analysis for a single-stage newsvendor problem |
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| YANG Lei GAO Chengxiu CHEN Kebing LI Jianbin.Downside Risk-Aversion Analysis for a Single-Stage Newsvendor Problem[J].Wuhan University Journal of Natural Sciences,2007,12(2):198-202. |
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| Authors: | Yang Lei Gao Chengxiu Chen Kebing Li Jianbin |
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| Institution: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China |
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| Abstract: | We extend the classical newsvendor problem by introducing a downside risk constraint from the perspective of inventory control. At the beginning of a replenishment period the newsvendor will place an order, then he will review the inventory level at the end of the period. If the inventory level is positive then he will bear the holding cost and if the inventory level is negative then he will bear the backorder cost. The optimal order quantity has a simple form. We analyze the form of the optimal order quantity when we restrict that the probability that the cost level is larger than or equal to a fixed cost constant is less than a fixed value of probability. At last, we analyze the case that the fixed cost constant is equal to the expected cost. |
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| Keywords: | supply chain newsvendor problem inventory management risk |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
