Sep 19, 2017

IN THE M/G/1 QUEUE OF EXERCISE 14.3.4, FIND (A) THE MEAN AND VARIANCE OF THE BUSY PERIOD AND (B)…

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In the M/G/1 queue of Exercise 14.3.4, find

(a) the mean and variance of the busy period and

(b) the mean and variance of the number of customers served during the busy period.

Exercise 14.3.4

Six out of every ten patrons of a hairdressing salon are female and and the average time they require to have their hair done is 50 minutes. Male customers require only 25 minutes on average. If on average a new customer arrives every hour, what is the expected number of customers in the salon and how long does the average patron spend there? How many minutes on average does a customer wait for his/her turn with the hairdresser? Assume that the arrival process is poisson.



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