学术
考虑通货膨胀与最长顾客等待时间的变质性物品的库存模型
闵杰[1,2] 周永务[1] 赵菊[1]
[1]合肥工业大学管理学院物流与供应链管理研究所,安徽合肥230009 [2]安徽建筑工业学院数理系,安徽合肥230022
摘 要:
本文建立了一种考虑通货膨胀与时间价值的变质性物品的库存模型,在模型中允许短缺发生且拖后的需求速率与在缺货期间已经发生的缺货量有关.和已有相关模型的主要区别在于本模型把一个可重复的订货周期内的最大平均利润的净现值作为目标函数,且增加了在缺货期间最长顾客等待时间的限制,以确保库存系统拥有较高的服务水平.然后讨论了模型最优解的存在性与唯一性,并提供了寻求模型整体最优解的算法.最后用实例说明了此模型在实际中的应用.[著者文摘]
文章出处:
《应用数学》-2007年20卷4期 -688-696页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）04-0688-09
An Inventory Model for Perishable Items with Maximum Customer Waiting Time under Inflation
MIN Jie（Institute of Logistics and Supply Chain Management,School of Management,Hefei University of Technology,Hefei 230009,China;Department of Mathematics and Physics,Anhui Institute of Architecture ＆ Industry,Hefei 230022,China） ZHOU Yong-wu（Institute of Logistics and Supply Chain Management,School of Management,Hefei University of Technology,Hefei 230009,China） ZHAO Ju（Institute of Logistics and Supply Chain Management,School of Management,Hefei University of Technology,Hefei 230009,China）
Abstract:
This paper develops a deterministic inventory model for perishable items with a mixture of back orders and lost sales under inflation and time discounting,where the backlogged demand rate is dependent on the negative inventory level during the stock out period.The main differences from the existing related models are that the present model takes the maximum present value of profit in a repeatable order cycle as the objective function and proposes a more practical constraint of maximum customer-waiting time to ensure a proper customer service level.Then the existence and the uniqueness of the solution to relevant systems are examined and a solution algorithm is shown to find the optimal replenishment policy.At last,some numerical examples are presented to illustrate the applicatioh of the model.[著者文摘]
Key words:
Inventory;Perishable items;Inflation;Partial backlogging;Customer waiting time
基金资助:
Supported by the Natural Science Foundation of China（70471045）;Program for New Century Excellent Talents in University（NCET-05-0557）; A Foundation for the Author of National Excellent Doctorsl Dissertation of PR China（200556）;The PhD.Programs Foundation of Ministry of Education of China（20060359007）and the Natural Science Foundation of Anhui Province （2006KJ248B）,the Program for Youthful Teachers in the University of Anhui Province（2007jq1091）
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