Furthermore, the results of above sensitivity analysis are consistent with the intuitive reasoning. For
fixed b, the larger the value of d is, the smaller the proportion of customers who would accept backlogging
at time t. Hence, in order to maximize the profit per unit time, the retailer should add the fraction of each
cycle in which there is no shortage. We also find that the optimal profit per unit time with partial backlogging
is more sensitive to d when its value is small. As the value of d increases, the optimal profit per unit
time becomes close to the optimal profit per unit time without shortage