| New bounds of （s,S） policies in periodical review inventory systems |
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| 引用本文： | 徐燕翼.New bounds of （s,S） policies in periodical review inventory systems[J].上海大学学报(英文版),2010,14(2):111-115. |
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| 作者姓名： | 徐燕翼 |
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| 作者单位： | School of Management,Shanghai University,Shanghai 200444,P.R.China |
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| 基金项目： | supported by the Shanghai Excellent Junior Faculty Foundation |
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| 摘 要： | We study the stochastic inventory problem with optimal （s,S） policies.In a finite horizon model with lost sales,we establish new lower and upper bounds of s and S.These bounds have structural implications for the optimal solutions.Consequently,when demand has a generalized phase type distribution,there are no more than a pre-determined number of minima.Similar bounds can also be found for the system where unsatisfied demand is backordered instead of lost sales.
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| 关 键 词： | 库存系统 定期检查 边界 销售系统 相位型分布 库存问题 损失 上界 |
| 收稿时间： | 2009-11-27 |
| 修稿时间： | 2009-12-28 |
New bounds of (<Emphasis Type="Italic">s,S</Emphasis>) policies in periodical review inventory systems |
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| Yan-yi Xu.New bounds of (s,S) policies in periodical review inventory systems[J].Journal of Shanghai University(English Edition),2010,14(2):111-115. |
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| Authors: | Yan-yi Xu |
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| Institution: | School of Management,Shanghai University,Shanghai 200444,P.R.China |
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| Abstract: | We study the stochastic inventory problem with optimal (s,S) policies.In a finite horizon model with lost sales,we establish new lower and upper bounds of s and S.These bounds have structural implications for the optimal solutions.Consequently,when demand has a generalized phase type distribution,there are no more than a pre-determined number of minima.Similar bounds can also be found for the system where unsatisfied demand is backordered instead of lost sales. |
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| Keywords: | inventory control (s S)policies generalized phase type distribution lost sales |
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