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For each of the following models write the balance equations

For each of the following models, write the balance equations and show that they are satisfied by the solution given in Sec. 17.6 for the steady-state distribution of the number of customers in the system.

(a) The M/M/1 model.

(b) The finite queue variation of the M/M/1 model, with K = 2.

(c) The finite calling population variation of the M/M/1 model, with N = 2.

(a) The M/M/1 model.

(b) The finite queue variation of the M/M/1 model, with K = 2.

(c) The finite calling population variation of the M/M/1 model, with N = 2.

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