Two one-barber shops sit side by side, each shop can hold a maximum of 5 people, and any potential customer who finds a shop full will not wait for a haircut. Barber 1 charges $18 per haircut and takes an average of 20 minutes to complete a haircut. Barber 2 charges $13 per haircut and takes 15 minutes to complete a haircut. On average 12 potential customers arrive per hour at each barbershop. Of course, a potential customer becomes an actual customer only if he or she finds that the shop is not full. Assuming that inter-arrival times and haircut times are exponential, which barber will earn more money?

Two one-barber shops sit side by side, each shop can hold a maximum of 5 people, and any potential customer who finds a shop full will not wait for a haircut. Barber 1 charges $18 per haircut and takes an average of 20 minutes to complete a haircut. Barber 2 charges $13 per haircut and takes 15 minutes to complete a haircut. On average 12 potential customers arrive per hour at each barbershop. Of course, a potential customer becomes an actual customer only if he or she finds that the shop is not full. Assuming that inter-arrival times and haircut times are exponential, which barber will earn more money?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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