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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 two cus- tomers. Potential customers arrive at a Poisso

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 two cus- tomers. Potential customers arrive at a Poisson rate of three per hour, and the suc- cessive service times are independent exponential random variables with mean hour
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Soluton: LettỉngfXH);t> be, the no, of customers in -the barber Shop at any given time tant . wîth the i state Space S - [o,TO Solve -for P , recall Σ h-1 from the Gfven, the Prevou Stationary afstrtbutton The long run avg no of custorers In Sho p 9Becaue the arrfval rate remasnj Trvariant, the bar ber shop is admftting 0,90구-0,75 구 פ 19,2% more Custo ne rs-Iran , în-the

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