Optimal pricing and replenishment policies for instantaneous deteriorating items with backlogging and trade credit under inflation


1 Department of Mathematics, PSNA College of Engineering and Technology, Dindigul, Tamilnadu, 624 622, India

2 Department of Mathematics, Gandhigram Rural Institute—Deemed University, Gandhigram, Tamilnadu, 624 302, India


In this paper we develop an economic order quantity model to investigate the optimal replenishment policies for instantaneous deteriorating items under inflation and trade credit. Demand rate is a linear function of selling price and decreases negative exponentially with time over a finite planning horizon. Shortages are allowed and partially backlogged. Under these conditions, we model the retailer’s inventory system as a profit maximization problem to determine the optimal selling price, optimal order quantity and optimal replenishment time. An easy-to-use algorithm is developed to determine the optimal replenishment policies for the retailer. We also provide optimal present value of profit when shortages are completely backlogged as a special case. Numerical examples are presented to illustrate the algorithm provided to obtain optimal profit. And we also obtain managerial implications from numerical examples to substantiate our model. The results show that there is an improvement in total profit from complete backlogging rather than the items being partially backlogged.