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需求随价格变化的具有折扣的易变质物品的库存模型
引用本文:覃毅延,唐焕文,郭崇慧.需求随价格变化的具有折扣的易变质物品的库存模型[J].运筹与管理,2006,15(4):22-26.
作者姓名:覃毅延  唐焕文  郭崇慧
作者单位:1. 大连理工大学,运筹学与管理科学研究所,辽宁,大连,116024;广西民族大学,数学与计算机科学学院,广西,南宁,530006
2. 大连理工大学,运筹学与管理科学研究所,辽宁,大连,116024
摘    要:本文研究了在需求随价格变化及物品易变质的条件下,当供应商给予数量折扣时的库存问题。证明了当供应商给予数量折扣时,零售商的需求量是增大的,并给出了供应商给予数量折扣时零售商的订货量和订货周期的计算方法。对物品变质率和需求价格敏感系数对零售商的订货量、订货周期、出售价格和单位时间利润的影响进行了数值分析,并给出了数值算例。

关 键 词:运筹学  库存管理  价格敏感需求  数量折扣  易变质物品
文章编号:1007-3221(2006)04-0022-05
收稿时间:01 4 2006 12:00AM
修稿时间:2006年1月4日

On an Inventory Model for Deteriorating Items of Price-sensitive Demand and Quantity Discounts
QIN Yi-yan,TANG Huan-wen,GUO Chong-hui.On an Inventory Model for Deteriorating Items of Price-sensitive Demand and Quantity Discounts[J].Operations Research and Management Science,2006,15(4):22-26.
Authors:QIN Yi-yan  TANG Huan-wen  GUO Chong-hui
Institution:1. Institute of Operational Research and Management Science, Dalian University of Technology, Dalian 116024, China ; 2. College of Information and Computer Science, Guangxi University for Nationalities, Nanning 530006, China
Abstract:In this paper,we develop an inventory model for finding the replenishment schedule for an inventory system,in which items deteriorate at a constant rate and demand is price-sensitive when the supplier gives quantity discounts.It is shown that when the supplier gives quantity discounts,the buyer's demand increa-(ses).Sensitivity analysis with the numerical example shows that order quantity and replenishment cycle are very sensitive to the deterioration rate,but the retailer's profit per unit time is not.The retailer's unit selling price and profit per unit time are very sensitive to the price-sensitive parameter.A numerical example is presented.
Keywords:operational research  inventory management  price-sensitive demand  quantity discounts  deteriorating items
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