In this paper, we formulate a deteriorating inventory model with stock-dependent demand Moreover, it is assumed that
the shortages are allowed and partially backlogged, depending on the length of the waiting time for the next replenishment. The
objective is to find the optimal replenishment to maximizing the total profit per unit time. We then provide a simple algorithm to
find the optimal replenishment schedule for the proposed model. Finally, we use some numerical examples to illustrate the
model.