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Demand during lead time: analytical computation

The demand during lead time is computed through convolution of the demand distribution. Period demand and lead time follow discrete distributions.

Symbols:

P{L=l}

(discrete) probability distribution of the lead time

P{D=d}

(discrete) probability distribution of the period demand

L lead time

D

period demand

The probability distributions are entered as follows:

Note: The entered probabilites must sum up to 1.

Assumptions:

  • discrete probability distribution of the lead time
  • discrete probability distribution of the demand per period

- Tempelmeier (2006)


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