In a large workshop undertaking servicing jobs, the mechanics obtain their tools and requirements from a central store. The manager, perturbed about the waiting time of mechanics, is in the process of determining whether more attendants be hired for the store for raising the level of service. The idle time cost for the mechanics and the wages required to be paid to the attendants being known, he wishes to ascertain how many attendants may be employed to minimise the total cost involved. For helping the manager solve his problem using simulation, we proceed as follows. The following data on the times between successive arrivals and the service times for the mechanics have been obtained from the past 200 observations made on the system presently in operation.

Distribution of inter-arrival time:

Distribution of service time:

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Time (Minutes) Frequency Probability 0 12 0.06 18 0.09 6 50 0.25 9 74 0.37 12 32 0.16 15 14 0.07 Total 200