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Consider a nail salon, which only offers manicures, with two nail technicians and one waiting chair.Each nail technician does manicures at a rate of two per hour, and customers arrive at rate 6 perhour, both with exponentially distributed times. Customers arriving to a fully occupied salon leave immediately. (a) Find the stationary distribution for the number of customers. (b) What fraction of customers leave without a manicure on the long run? (c) After it becomes empty, for how long does the shop stay empty on average?

Consider a nail salon, which only offers manicures, with two nail technicians and one waiting chair.Each nail technician does manicures at a rate of two per hour, and customers arrive at rate 6 perhour, both with exponentially distributed times. Customers arriving to a fully occupied salon leave immediately. (a) Find the stationary distribution for the number of customers. (b) What fraction of customers leave without a manicure on the long run? (c) After it becomes empty, for how long does the shop stay empty on average?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider a nail salon, which only offers manicures, with two nail technicians and one waiting chair.Each nail technician does manicures at a rate of two per hour, and customers arrive at rate 6 perhour, both with exponentially distributed times. Customers arriving to a fully occupied salon leave immediately.

(a) Find the stationary distribution for the number of customers.

(b) What fraction of customers leave without a manicure on the long run?

(c) After it becomes empty, for how long does the shop stay empty on average?

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