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Calculating average time a customer spends waiting in queue

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The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech
v/s State football game on Saturday. The ticket seller can serve an average of 12 customers per hour; on
average, 10 customers arrive to purchase tickets each hour. Determine the average time a ticket buyer
must wait and the portion of time the ticket seller is busy.

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Solution Summary

This posting contains solution to a queuing problem of M/M/1 model. It includes calculations for:Wq and ρ(portion of time the server is busy).

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Average arrival rate= 10 Customers/hr
Average Service rate=12 Customers/hr

Average waiting ...

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