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Homework answers / question archive / Marty's Barber Shop has one barber
Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:
f. What is the average time a customer waits for service?
f). Computation of the average time a customer waits for service (Wq):-
Average number of customers in the waiting line (Lq) = (Arrival rate^2) / (Service rate*(Service rate-Arrival rate))
= (2.2^2) / (5*(5-2.2))
= 4.84 / (5*2.8)
= 4.84 / 14
= 0.3457
Average time a customer waits for service (Wq) = Lq / Arrival rate
= 0.3457 / 2.2
= 0.157 hours
