| 位相分布提前补货时间库存系统最优控制策略 |
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| 引用本文： | 张双,岳德权. 位相分布提前补货时间库存系统最优控制策略[J]. 山东大学学报(理学版), 2017, 52(9): 92-97. DOI: 10.6040/j.issn.1671-9352.0.2017.023 |
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| 作者姓名： | 张双 岳德权 |
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| 作者单位： | 燕山大学理学院, 河北 秦皇岛 066004 |
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| 基金项目： | 国家自然科学基金资助项目(71071133);河北省自然科学基金资助项目(A2017203078) |
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| 摘 要： | 研究了一个销售损失制的带有位相分布提前补货时间的连续盘点(s, Q)库存系统。运用Markov过程理论,建立系统稳态平衡方程并求出系统稳态概率。此外,构建了服务水平约束下的最小费用优化模型,通过数值算例计算出系统的最优库存策略并进行了系统参数的敏感性分析。
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| 关 键 词： | 位相分布 控制策略 (s Q)策略 库存系统 |
| 收稿时间： | 2017-01-23 |
Optimal control polices for an inventory system with phase type distribution of lead time |
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| ZHANG Shuang,YUE De-quan. Optimal control polices for an inventory system with phase type distribution of lead time[J]. Journal of Shandong University, 2017, 52(9): 92-97. DOI: 10.6040/j.issn.1671-9352.0.2017.023 |
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| Authors: | ZHANG Shuang YUE De-quan |
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| Affiliation: | School of Science, Yanshan University, Qinhuangdao 066004, Hebei, China |
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| Abstract: | A lost sales inventory system with phase type distribution of lead time and continuous-review (s, Q) replenishment policy was studied. Using the theory of Markov process, the steady state equilibrium equation was established, and the steady probability of the system was obtained. The minimum cost optimization model under certain service level was given. Using numerical example, the optimal inventory policy was calculated, and the sensitivity of the system parameters was analyzed. |
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| Keywords: | inventory system phase type distribution (s Q)policy control policy |
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