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《Chinese Journal of Management Science》 2015-08
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Inventory Policy for Non-instantaneously Deteriorating Items with Time-varying Holding Cost and Deterioration Rate

LI Gui-ping;DUAN Yong-rui;HUO Jia-zhen;XIONG De-ping;Business School,Ningbo University;School of Economics and Management,Tongji University;  
This paper aims to investigate the inventory policy for non-instantaneously deteriorating items.A generalized inventory replenishment model is formulated by maximizing the average profit of the system.In the model,it is assumed that the demand rate is influenced by the instantaneous inventory level with different influence coefficients in the deterioration period and non-deterioration period,the deterioration rate in the deterioration period and the holding cost are time-varying,shortage is allowed and the unmet demand is partially backlogged in the shortage period.The sufficient condition for the existence of the unique optimal solution to the model is presented.Finally,some numerical examples and the sensitivity analyses on the main parameters are given using the Newton's method.The results indicate that,to prolong the non-deterioration period of items will be helpful to the increase of the system's average profit.The increase of the demand in the deterioration period is more beneficial to the increase of the system's average profit than that in the non-deterioration period.For deteriorating items with high deterioration rate,the influence of the disposal cost of the deterioration items on the optimal policy and the average profit is significant.Besides,the model formulated in this paper is generalized,so it has a wide range of application.
【Fund】: 国家自然科学基金项目(71371139 51408321 71402075);; 宁波大学人文社会科学培育项目(XPYB14006);; 宁波大学学科项目(XKW14D2005);; 上海市曙光人才计划项目(13SG24)
【CateGory Index】: F274;F224
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 MIN Jie1,2,ZHOU Yong-wu1,3(1.School of Management,Hefei University of Technology,Hefei 230009,China;2.Department of Mathematics& Physics,Anhui University of Architecture,Hefei 230601,China;3.School of Business Administration,South China University of Technology,Guangzhou 510640,China);Inventory model for non-instantaneous deteriorating items under stock-dependent selling rate[J];系统工程学报;2009-02
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 MIN Jie1,2,ZHOU Yong-wu1(1.School of Management,Hefei University of Technology,Hefei 230009,China;2.Department of Mathematics and Physics,Anhui Institute of Architecture & Industry,Hefei 230022,China);Supply Chain Coordination with a Stock-dependent Demand Rate[J];复旦学报(自然科学版);2007-04
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