Conditional shortage density

This section relates random services and random shortages to conditional demands as defined in Section 6.2.5. Conditional random service is the crucial quantity that has to be calculated when a safety stock level has to be determined. Conditional random service results from three quantities a demand density 5, an already ordered quantity r and an available inventory s. From these parameters we obtain two new densities, the conditional service density 5+,r,s and the conditional shortage density... 

The conditional shortage x and the demand x + s have the same density (x > 0). The conditional shortage is zero with the same probability for the conditional demand to be at most s. 

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