Develop an Inventory Model with Time Dependent Deterioration, and Demand Rate under the Condition of Permissible Delay

In this paper, an inventory model is considered with variable demand rate and time dependent deterioration. Here, we have taken shortages which are fully backlogged. This model is studied under the condition of permissible delay in payments which is very important and necessary aspect for any business to smooth running. The optimal replenishment policy for the model is derived. At last, a numerical example is given