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正态分布下时变参数的报童问题
引用本文:宋华明,马士华. 正态分布下时变参数的报童问题[J]. 预测, 2005, 24(6): 67-70,17
作者姓名:宋华明  马士华
作者单位:1. 华中科技大学,管理学院,湖北,武汉,430074;南京理工大学,经济管理学院,江苏,南京,210094
2. 华中科技大学,管理学院,湖北,武汉,430074
基金项目:国家自然科学基金重点资助项目(70332001),中国博士后科学基金资助项目(2004035636)
摘    要:随着服务业的快速发展和基于时间竞争战略的深化,产品/服务的时效性越来越强。本文扩展了传统的报童模型,以批发价和需求预测精度随时间变化的报童问题为对象,研究市场需求函数为正态分布的报童模型关于最佳订货时点和最优订货量的决策问题。建立了正态分布下时变参数的报童问题的数学模型,通过模型的求解和数值分析,结果显示,与传统的不考虑时间因素的报童模型相比,前者能够增加零售商的收益。

关 键 词:报童问题  最优决策  时变参数
文章编号:1003-5192(2005)06-0067-04
收稿时间:2004-11-28
修稿时间:2004-11-28

The Newsboy Problem with Time-based Parameters Under Normally Distributed Demand
SONG Hua-ming,MA Shi-hua. The Newsboy Problem with Time-based Parameters Under Normally Distributed Demand[J]. Forecasting, 2005, 24(6): 67-70,17
Authors:SONG Hua-ming  MA Shi-hua
Affiliation:1. College of Management, Huazhong University of Science and Technology, Wuhan 430074, China ; 2. Institution of Economy Managenzent , Nanjing University of Science Technology, Nanjing 210094, China
Abstract:With the quick development of service industries and the deepening of time-based competition strategy,the character of seasonal fashion of service/produt is increasing.This paper extends traditional newsboy model with time-based wholesale price and time-based forecasting precision under normally distributed market demanding,discusses the optimal decision about ordering timing and ordering quantity.The mathematics model of newsboy problem with time-based parameter is given,and through analyzing model and numerical instance,it shows,with contrast of traditional newsboy problem that time factor is not taken into account,the former can increase the income of the dealer.
Keywords:newsboy problem  optimal decision  time-based parameters  
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