Examples for waiting time distributions under an ($r,s,q$) Policy in discrete time

The following Figures show the probability distributions that are associated with different parameter settings in an ($r,s,q$) inventory policy in discrete time.

Normally distributed demand $D$, deterministic replenishment lead time $L$

Case 1: Parameters: $\mu_D=100$, $\sigma_D=30$, $r=1$, $s=500$, $q=1000$, $L=10$

Case 2: Parameters: $\mu_D=100$, $\sigma_D=30$, $r=1$, $s=1000$, $q=1000$, $L=10$

Case 3: Parameters: $\mu_D=100$, $\sigma_D=30$, $r=1$, $s=500$, $q=200$, $L=10$

Case 4: Parameters: $\mu_D=100$, $\sigma_D=30$, $r=1$, $s=1000$, $q=200$, $L=10$

Case 5: Parameters: $\mu_D=100$, $\sigma_D=30$, $r=5$, $s=500$, $q=1000$, $L=10$

Case 6: Parameters: $\mu_D=100$, $\sigma_D=30$, $r=5$, $s=1000$, $q=1000$, $L=10$