Marty's Barber Shop has one barber

Business Aug 22, 2020

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?

Expert Solution

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

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