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Q120Section C (Part C)120 of 120

Queueing theory — an M/M/2 system with finite capacity

Consider an M/M/2M/M/2 queuing system with the birth rate λ=4\lambda=4 per minute, the death rate μ=1\mu=1 per minute, and the total capacity of 3 customers (including the ones that are being served). Let p0p_0 and p3p_3 denote the long-run probabilities that the system will be empty (i.e. without customers) and will be blocked (i.e. full), respectively. Which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.