山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (9): 92-97.doi: 10.6040/j.issn.1671-9352.0.2017.023
张双,岳德权
ZHANG Shuang, YUE De-quan
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。
中图分类号:
| [1] CHEN F Y, KRASS D. Inventory models with minimal service level constraints[J]. European Journal of Operational Research, 2001, 134(1):120-140. [2] 唐应辉,唐小我. 排队论:基础与分析技术[M]. 北京:科学出版社,2006: 1-28. TANG Yinghui, TANG Xiaowo. Queuing theory: foundations and analytical techniques[M]. Beijing: Science Press, 2006: 1-28. [3] 田乃硕,岳德权. 拟生灭过程与矩阵几何解[M]. 北京:科学出版社,2002: 1-38. TIAN Naishuo, YUE Dequan. Quasi-birth-and-death process and matrix geometric solution[M]. Beijing: Science Press, 2002: 1-38. [4] 曾勇,董丽华,马建峰. 排队现象的建模、解析与模拟[M]. 西安:西安电子科技大学出版社,2011. ZENG Yong, DONG Lihua, MA Jianfeng. Modeling, analysis and simulation of queuing phenomenon[M]. Xian: Xidian University Press, 2011. [5] BERMAN O, KIM E. Stochastic models for inventory management at service facilities[J]. Stochastic Models, 1999, 15(4):695-718. [6] BERMAN O, SAPNA K P. Optimal control of service for facilities holding inventory[J]. Computers & Operations Research, 2001, 28(5):429-441. [7] SAPNA K P. An (s, Q) Markovian inventory system with lost sales and two demand classes[J]. Mathematical and Computer Modelling, 2006, 43(7/8):687-694. [8] BERMAN O, KIM E. Dynamic order replenishment policy in internet based supply chains[J]. Mathematical Methods of Operations Research, 2001, 53(3):371-390. [9] 许一敏,张毕西,吴菊华. 对系统提前期/等待时间敏感的批量排队优化模型[J]. 工业工程与管理,2011,16(3):27-30. XU Yimin, ZHANG Bixi, WU Juhua. Sensitive to system lead time/waiting time batch queuing optimization model[J]. Industrial Engineering and Management, 2011, 16(3):27-30. [10] 陈弘,刘名武,周宗放,等. 基于排队的库存服务系统最优控制策略[J]. 运筹与管理,2013,22(5):104-110. CHEN Hong, LIU Mingwu, ZHOU Zongfang, et al. Optimal control polices for an inventory service system based on the queueing theory[J]. Operations Research and Management Science, 2013, 22(5):104-110. |
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