This paper presents a deterministic inventory model with Weibull distribution for the variable Deteriorating items when the demand rate is considered as a linear function of time, in which shortages are acquiesce and partially backlogged. And backlogging rate is also considered as a variable parameter and it only depends upon the next replenishment. The model is then solved for optimal solution to minimize the total inventory cost. Also checked the convexity of the total cost function through the help of graph by using maple 15. A numerical sample is considered to find out the solution.
Demand, Deteriorating Products, Inventory, Linear Demand, Partial Backlogging and Shortages