Explore BrainMass

Calculating average time a customer spends waiting in queue

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.


Solution Preview

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

Average waiting ...

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).