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  • 孟立华,莫降涛,温宗良,徐春明.需求受时间和价格影响的预订销售库存模型[J].广西科学,2012,19(2):99-103.    [点击复制]
  • MENG Li-hua,MO Jiang-tao,WEN Zong-liang,XU Chun-ming.An Advance Sale Inventory Model with Time and Price Dependent Demand[J].Guangxi Sciences,2012,19(2):99-103.   [点击复制]
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需求受时间和价格影响的预订销售库存模型
孟立华1, 莫降涛2, 温宗良3, 徐春明4
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(1.广东医学院, 广东东莞 523808;2.广西大学数学与信息科学学院, 广西南宁 530004;3.广西中医药大学, 广西南宁 530001;4.天津财经大学珠江学院, 天津 301811)
摘要:
针对一个带有预订销售的库存问题(其中需求是时间的二次函数,是价格的线性减函数,而且取消预订费是时间的增函数),建立相应的预订销售利润模型,分析模型的性质,给出寻找最优策略的算法,并用数值例子验证模型和算法是有效的.
关键词:  需求率  价格  预订销售
DOI:
投稿时间:2011-09-16修订日期:2012-02-10
基金项目:国家自然科学基金项目(10761001),广西自然科学基金项目(0542043),广西大学科研基金项目(X071131),广东医学院青年基金项目(XQ1145)资助。
An Advance Sale Inventory Model with Time and Price Dependent Demand
MENG Li-hua1, MO Jiang-tao2, WEN Zong-liang3, XU Chun-ming4
(1.Guangdong Medical College, Dongguan, Guangdong, 523808, China;2.College of Mathema-tics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China;3.Guangxi Traditional Chinese Medicine University, Nanning, Guangxi, 530001, China;4.Pearl River College, Tianjin University of Finance and Economics, Tianjin, 301811, China)
Abstract:
An inventory problem with advanced sales is discussed, where demand rate is a quadratic function of time and linear decreasing function of price, and cancellation cost is an increasing function of time. An advance sales model is established, its characteristics are analyzed and an algorithm is provided to find out the optimal replenishment policy. Finally, a numerical example is used to illustrate the validity of the model and its algorithm.
Key words:  demand rate  price  advanced sales

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