Find the differential equation of probabilities

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Reference no: EM131920890

Question: 1. Consider an M/M/2 system with arrival rate λ and service rate µ, where λ < 2µ.="">

a) Find the differential equation that govern the time-dependent probabilities pj(t).

b) Find the asymptotic probabilities πj.

2. Consider a call center with two phone lines for service. Assume that calls arrive according to a Poisson process with rate λ. During some measurements it was observed that both the lines are busy 50% of the time, whereas the mean call-holding time was 1 min. Calculate the call queueing probability in the case that the mean call holding time increases from 1 min to 2 min.

Reference no: EM131920890

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