Stochastic

# Exercises time with mean 30 minutes to clean the

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Unformatted text preview: .e., two being served and two waiting. 4.19. Consider a barbershop with two barbers and two waiting chairs. Customers arrive at a rate of 5 per hour. Customers arriving to a fully occupied shop leave without being served. Find the stationary distribution for the number of customers in the shop, assuming that the service rate for each barber is 2 customers per hour. 4.20. Consider a barbershop with one barber who can cut hair at rate 4 and three waiting chairs. Customers arrive at a rate of 5 per hour. (a) Argue that 153 4.8. EXERCISES this new set-up will result in fewer lost customers than the previous scheme. (b) Compute the increase in the number of customers served per hour. 4.21. There are two tennis courts. Pairs of players arrive at rate 3 per hour and play for an exponentially distributed amount of time with mean 1 hour. If there are already two pairs of players waiting new arrivals will leave. Find the stationary distribution for the number of courts occupied. 4.22. A taxi company has three cabs....
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## This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell.

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