A company currently has two tool cribs, each having a single clerk, in its manufacturing area. One

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A company currently has two tool cribs, each having a single clerk, in its manufacturing area. One tool crib handles only the tools for the heavy machinery, while the second one handles all other tools. It is observed that for each tool crib the arrivals follow a Poisson distribution with a mean of 20 per hour, and the service time distribution is negative exponential with a mean of 2 minutes.

The tool manager feels that if the tool cribs are combined in such a way that either clerk can handle any kind of tool as demand arises, it would be more efficient and the waiting problem could be reduced to some extent. It is believed that the mean arrival rate at the two tool cribs will be 40 per hour, while the service rate will remain unchanged.

Compare in status of queue and the proposal with respect to the total expected number of mechanics at the tool crib(s), the expected waiting including service time for each mechanic and probability that he has to wait for service.

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