An EOQ Model for Non-Instantaneous Deteriorating Items with Stock and Time Dependent Demand with Partial Backlogging

摘要

In this study, we consider a problem to determining the optimal replenishment policy for non-instantaneous deteriorating items with stock and time dependent demand. Rate of deterioration is following the two-parameter Weibull distribution. Shortages are allowed and the backlogging rate is variable and dependent on the waiting time for the next replenishment. The major objective is to determine the optimal replenishment cycle time and the order quantity simultaneously, such that the total profit is to be minimize. Finally, numerical example is given to demonstrate the developed model and the solution procedure.