An EOQ model of non-instantaneous deteriorating items with price,time-dependent demand and backlogging  

作　　者：R.Sundararajan M.Palanivel R.Uthayakumar 

机构地区：[1]Department of Mathematics,PSNA College of Engineering and Technology,624622 Dindigul,Tamilnadu,India [2]Department of Mathematics,Mepco Schlenk Engineering College,Sivakasi,India [3]Department of Mathematics,The Gandhigram Rural Institute-Deemed University,Gandhigram,India

出　　处：《Journal of Control and Decision》2021年第2期135-154,共20页控制与决策学报（英文）

摘　　要：This paper considers an inventory model with non-instantaneous deteriorating item in which demand rate is a function of selling price and time,taking account of time value of money.This paper aids the retailer in maximising the total profit by determining optimal replenishment policies.Shortages are allowed which are partially backlogged.This model also takes into cognizance the fact that in business activities nowadays customers are given delay in payments.Under these assumptions,a mathematical model is formulated over a finite planning horizon and then some useful theoretical results have been framed to characterise the optimal solutions.The necessary and sufficient conditions for the existence and the uniqueness of the optimal solutions are also derived.An algorithm is designed to find the optimum solutions of the proposed model.Numerical examples are included to illustrate the algorithmic procedure and the effects of key parameters are studied to analyse the behaviour of the model.

关 键 词：INVENTORY DETERIORATION BACKLOGGING INFLATION finite planning 

分 类 号：O17[理学—数学]