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** ANSWER TO POINT e**

## Considering the 5 customers in point a) and the special Global Customer in point c), for each one of them we know:

## Di=the average value of the demand

## σ_{di}=the standard deviation of the demand

where i=1,2,3,4,5 in the case of single customer or GD in the case of global customer.

## We have to use the formula for the P_{2}=Fill Rate in the case of Lost Sales P_{2}=1- ESPRC_{i}/(D_{i}+ESPRC_{i})

Where ESPRC means Expected Shortages for Replenishment Cycle ESPRC=σ_{di }G_{u}(k).

In the case of P_{1}=80% k=0.8416 and Gu(0,8416)=0.112

in the Case of P_{1}=99% k=2.33 and Gu(0.00352).

## the calcule of P_{2} gives:

P_{2} |
||

Customers |
P_{1}=80% |
P_{2}=99% |

1 |
0.97% | 0.999% |

2 |
0.98% | 0.999% |

3 |
0.95% | 0.998% |

4 |
0.93% | 0.997% |

5 |
0.98% | 0.999% |

Global Demand |
0.98% | 0.999% |

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