Non-instantaneous deterioration inventory model with price and stock dependent demand for fully backlogged shortages under inflation

In this paper we have developed an inventory model according to consideration of price, stock dependent, fully backlogged shortage and inflation. In this model we have described the demand function is dependent on price and stock and in shortage time the demand is depend only price of the product. Price of the product is dependent on different markup rate. The deterioration is considered as a non-instantaneous, i.e., when the item stock in retailer's house after some time deterioration will start. Shortages, if any are allowed and it is fully backlogged. The corresponding inventory problem constitutes a constraint optimisation problem. Here we have solved this problem by using Lingo 10 software. Finally, to illustrate and validate the inventory model, we have…