Inventory Decision Model With Random Short-term Price Discounts And Partial Back-to-back Replenishment

In modern consumer products market,enterprises adopt various marketing strategies to enhance their market share and competitiveness.It is easy to see that the discount has become a modern consumer products in the market a major player in the means of stimulating consumption.Suppliers to provide price discount,product prices reduced so as to greatly increase the retailer carried out,the retailers purchase cost reduced profits will be increased,for the supplier,the retailer's large purchases will not only improve their ability to compete in the market but also can reduce its inventory backlog.As a result,for both the retailer and the supplier,the price discount will undoubtedly bring benefit to both sides.At the same time,sold out the words also abound in the actual consumer market.Retailers are insufficient inventory and when consumers of a commodity has a special favor,products sold out of stock even often happen.At this point,some consumers are willing to wait for goods merchants to cover before you buy,but also some consumer purchasing power after the goods covering disappear,for this kind of situation,merchants can choose according to the purchasing power of the consumer specific part of out of stock.As we have seen in our daily life at ordinary times,the above two cases,the discount phenomenon often appears in the new product promotion,festival activity and at the end of the year when clearance,not always happen;Compared with the discount in certain circumstances,shortage of phenomenon will occur in the merchant's each inventory cycle.Combining these two common situation in the consumer market,this article discussed in the context of economic order quantity.This paper consider a random short-term price discount and parts out of stock to cover the inventory model.In this system:retailers every cycle parts out of stock situation and in the next cycle will cover a period to meet customer demand in the goods,at the same time inventory system running in future a certain period of time there may be a price discount.If the discount,discount retailers in time only at a discount purchase once.According to the inventory system,we established from the perspective of retailer profit maximization with random short-term price discount and parts of out of stock to cover the inventory decision model,offers a variety of replenishment strategies for retailers and find the optimal solution under this situation,finally the validity of the model is verified by numerical examples.