Write the balance equations of the system

Reference no: EM131130584

We consider a queueing system in which there are two types of customers, both types arriving according to a Poisson process with rate λ. The customers of type I always enter the system. However, the type II customers only enter the system if there is no more than one customer in the system when they arrive. There is a single server and the service time has an exponential distribution with parameter μ.

(a) Write the balance equations of the system.

(b) Calculate the limiting probability that an arbitrary type II customer enters the system if λ = 1 and 𝜇 = 2

Indication. The system considered is a birth and death process.

Reference no: EM131130584

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