2.7. Let X(t) be the number of customers in an M/MIcc queueing system at time t. Suppose...
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2.7. Let X(t) be the number of customers in an M/MIcc queueing system at time t. Suppose that X(0) = 0.
(a) Derive the forward equations that are appropriate for this process by substituting the birth and death parameters into VI, (3.8).
(b) Show that M(t) = E[X(t)] satisfies the differential equation M'(t) = A - AM(t) by multiplying the jth forward equation by j and summing.
(c) Solve for M(t).
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Related Book For 
An Introduction To Stochastic Modeling
ISBN: 9780126848878
3rd Edition
Authors: Samuel Karlin, Howard M. Taylor
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