Time horizon inventory cost model having weibull distributed deterioration with shortages and partial backlogging

In the present study, an inventory cost models for weibull rate of deteriorating items with constant holding cost and quadratic demand rate, partial backlogging over a time horizon is proposed. The demand rate is considered as quadratic function of time. Shortages are allowed and partially backlogging case is discussed. The main objective of this paper is to minimize the total cost per unit time in an inventory system. Numerical problems are presented to demonstrate the result. Also, the effect of changes in different parameters on optimal total cost is graphically presented.