带服务水平和容量约束的扩展报童模型研究

摘要/Abstract

摘要： 主要针对具有服务水平约束和容量约束的扩展报童问题展开研究，首先建立了带服务水平约束和容量约束的扩展报童模型，给出了两种情形下的最优订货量的表达式，并分析了最优解的性质。在此基础上建立了容量有限的带服务水平约束的扩展报童模型，给出了最优解的表达式，并分析了服务水平、库存容量对最优订货量及报童利润的影响，最后通过算例对模型进行了分析和验证。

关键词: 报童模型, 服务水平, 库容约束

Abstract: Extended newsvendor models are considered in this paper for two cases: one with service level constraint and the other with capacity constraint. We first develop the two models with service level constraint and capacity constraint, respectively. Then, optimal order quantity for these two cases is derived and the properties of optimal solutions are analyzed. Based on the analysis results, an extended newsvendor model with both service level and capacity constraints are presented. Then, effect of service level and capacity constraints on the optimal order quantity and the expected profit of the newsvendor is explored. A numerical study is presented to illustrate and validate the proposed method.

Key words: newsvendor model, service level, capacity constraint

谢勇, 向莉, 王红卫, 陈双. 带服务水平和容量约束的扩展报童模型研究[J]. 工业工程, 2012, 15(4): 47-52.

Xie Yong, Xiang Li, Wang Hong-wei, Chen Shuang. An Extended Newsvendor Model with Service Level Constraint and Capacity Constraint[J]. Industrial Engineering Journal , 2012, 15(4): 47-52.

参考文献

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