An EPQ model with variable production,probabilistic deterioration and partial backlogging under inflation  

作　　者：M.Palanivel R.Uthayakumar 

机构地区：[1]Department of Mathematics,The Gandhigram Rural Institute-Deemed University,Gandhigram-624302.Dindigul,Tamil Nadu,India

出　　处：《Journal of Management Analytics》2014年第3期200-223,共24页管理分析学报（英文）

基　　金：The research work is supported by DST INSPIRE Fellowship,Ministry of Science and Technology,Government of India under the grant no.DST/INSPIRE Fellowship/2011/413B dated 15 January 2014,and UGC–SAP;Department of Mathematics,Gandhigram Rural Institute–Deemed University,Gandhigram–624302,Tamilnadu,India.

摘　　要：This paper develops an economic production quantity(EPQ)model under the effect of inflation and time value of money.The rate of replenishment is considered to be a variable and the generalized unit production cost function is formulated by incorporating several factors,such as raw material,labour,replenishment rate,advertisements and other factors of the manufacturing system.The selling price of a unit is determined by a mark-up over the production cost.We have considered three types of continuous probabilistic deterioration function,and also considered that the holding cost of the item per unit time is assumed to be an increasing linear function of time spent in storage.In addition,shortages are allowed and partially backlogged.This model aids in minimizing the total inventory cost by finding the optimal cycle length and the optimal production quantity.The optimal solution of the model is illustrated with the help of numerical examples.

关 键 词：variable production cost time dependent holding cost probabilistic deterioration partial backlogging INFLATION 

分 类 号：F42[经济管理—产业经济]