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Let's say you start from zero and you order up to $S$ at time $t$. Then you know that your next inventory will come in at time $t+T+L$, because you order at time $t+T$ and it takes $L$ time to arrive. An important assumption in this order strategy is that you won't inspect inventory during two consecutives $T$ periods. So only at periods $T-1$, $T$, $T+1$, .....


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