Question

Bobby the Barber is thinking about advertising in the local newspaper since he is idle 45 percent of the time. Currently, customers arrive on average every 40 minutes.
What does the arrival rate need to be for Bobby to be busy 85 percent of the time? (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)




Arrival rate _________ customers per hour

Answer 1

Answer:

Assume that customer arrival is Poisson distributed and service follows exponential

distribution.

Currently, idle time = 45%

Therefore, percentage of time utilization = 100 - 45 = 55% or 0.55

Arrival rate, λ = 1 in 40 minutes = 60/40=1.5 per hour

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