Question

please solve on paper

currently in stock and Problem 1(35 points): Consider the following inventory system. 8 items are there are 7 days until the end of sales season. The times between two demand points are indipendent and identically distibuted according to a known probability distribution. In addition, each custumer demand may be for multiple unit of items. Let B be the quantity demanded, then; P(B-1)-P(B-2)-5/12 0,417 and P(B-3)-1/6-0,167. Simulate the system till day 7. Assume that the system performance will be evaluated by the following output measures: the avarage inventory level and proportion of time that the inventory level is less than 5 items. Define two appropriate statistics to estimate these measures denoted by MI and M2. Use the demand interarrival times (in days) at table 1 and use random digit at table 2 to generate realization (demand quantity) from B Table 1: Interarrival times Table 2: Random digit 1.8 0.15 0.94 0.88 0.27 0.32 0.53

Answer 1

Ans Asanmnt of Randoro nUmbers of. B Random Comulative pCB) Fob-ab ty 0.01-0.42 O,41 0.417 o. 43-0.83 O 834 o.4/7 2 O84-0.0D ( .00! 3 Sunulation PYOCS A7: Arridal tirme AR Nomber of auioals AR Randem eligit Bn AT 8 A 0 3 2142 6.1 O88

ool38 Tatal noantoy E0e a Areage Trentoy, M 38 5.4 & less than 5 e fneentory -3 (last 3 dlays) + inuentore No. f days s les tRan 5 ProPortion of day 0.43