Create the transition rate diagram and the probability matrix for this problem.
Create the transition rate diagram and the probability matrix for this problem.
A small barbershop, operated by a single barber, has room for at most twocustomers. Potential customers arrive at a Poisson rate of three per hour, and thesuccessive service times are independent exponential random variables with mean14hour. What is(a) the average number of customers in the shop?(b) the proportion of potential customers that enter the shop?(c) If the barber could work twice as fast, how much more business wouldhe do?
6.33A small barbershop, operated by a single barber,has room for at most two customers.Potential customersarrive at a Poisson rate of three per hour,and the successiveservice times are independent exponential random variables withmean 1/4 hour.a) What is the average number of customers in the shop?b) What is the proportion of potential customers that enterthe shop?c) If the barber could work twice as fast, how much morebusiness would she do?Any help is appreciated.
Q.13: A small barbershop, operated by a single barber, hasroom for at most two customers. Potential customers arrive at aPoisson rate of three per hour, and thesuccessive service timesare independent exponential random variables with mean 1/4hours.What is(a) the average number of customers in the shop?(b) the proportion of potential customers that enter theshop?(c) if the barber could work twice as fast, how much morebusiness would he do?
A small barbershop, operated by a single barber, has room for atmost two customers. Potential customers arrive at a Poisson rate ofthree per hour, and the successiveservice times are independentexponential random variables with mean 1/4 hour. What is(a) the average number of customers in the shop?(b) the proportion of potential customers that enter the shop?(c) If the barber could work twice as fast, how much more businesswould he do?
A small barbershop, operated by a single barber, has a roomfor at most two customers. Potential customers arrive at a Poissonrate of three per hour, and thesuccessive service times areindependent exponential random variables with mean 1/4 hour. Whatis(a) the average number of customers in the shop?(b) the proportion of potential customers that enter theshop?(c) If the barber could work twice as fast, how much morebusiness would he do?
A small barbershop, operatedby a single barber, has room for at most two customers. Potential customers arrive at a Poisson rate ofthree per hour, and thesuccessive servicetimes are independent exponential random variables withmean 1/4 hour hour. What is(a) the average number of customers in theshop?(b) the proportion of potential customers that enterthe shop?(c) If the barber could work twice as fast, how muchmore business would he do?
A small babershop, operated by a single barber, has room for atmost two customers.Potential customers arrive at a Poissonrate of 3 per hour, and the successiveservice times areindependent exponential random variables with mean 1/4.Whatis(a) the average number of customers in the shop?(b) the proportion of potential customers that enter the shop?(c) If the barber could work twice as fast, how much more businesswould he do?
A small nail salon, operated by a single technician, has room for at most twocustomers. Potential customers arrive at a Poisson rate of three per hour, and the successive service times are independent exponential random variables with mean14 hour.(a) What is the average number of customers in the nail salon? Draw the ratediagram, clearly dening the states and labeling all transition rates.(b) What is the proportion of potential customers that enter the salon?(c) If the technician could work twice as...
15. A service center consists of two servers, each working at an exponential rate of two services per hour. If customers arrive at a Poisson rate of three per hour,then,assuming a system capacity of at most three customers,(a) what fraction of potential customers enter the system?(b) what would the value of part (a) be if therewas only a single server, and hisrate was twice as fast (that is,µ=4)?
This is for my stochastic class. I waswondering if anyone could help with this question. I don't know howto do this question. Could someoneanswet the question and explain(walk me through it) how to approach it please?A small barbaershop,operatored by a single barbar, has room for at most two customers.Potential customers arrive at a Possionrate of three per hour, andthe successive services times are independent exponential randomvariables with mean 1/4 hour. What isThe proportion of potential customersthat enter the stop?
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