Question

1. Suppose daily demands are i.i.d. random variables, each having probability mass func- tion given by 0.30 x=100 0.25 x=150 0.25 x=200 0.20 x=250 Assume that the lead time is 4 days. (a) Using the normal approximation, determine the reorder point R which will achieve a 95% service level (b) Using the normal approximation, determine the reorder point R which will achieve a 99% service level (c) Using the exact calculation, determine the minimum reorder point R which will achieve a 99% service level. What is the actual service level for this value of R? 2. Consider Problem #1, except that the lead time is random with probability mass function, PL = 3) = 0.3, P(しー4) 0.4, P(L = 5) 0.3. Using the normal approximation, determine the reorder point R which will achieve a 95% service level.

Answer 1

Selulion wwn 0 ISD O.25 5615 O.2s 50 60 16tダ SC Mean da pr- 167.5 [C) Poi vaiable demans and constant lead mu sajt stoch 1352.267 2.33 for g37 shovld meuuz drop and steek inet alloued fo fal 'otious this poiut

0.3 LT 3 3 Lt 守·5" px 16.6-16 =0.6 ROL (2): 167.sxy t ,.645|650%++e.y7tPx('เ7.)2 9SD.7s