For the finite queue variation of the M/M/1 model, develop an expression analogous to Eq. (1) in

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For the finite queue variation of the M/M/1 model, develop an expression analogous to Eq. (1) in Prob. 17.6-17 for the following probabilities:

(a) P{ t}.

(b) P{q t}.

[Hint: Arrivals can occur only when the system is not full, so the probability that a random arrival finds n customers already there is Pn /(1  PK).]

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Introduction To Operations Research

ISBN: 9780072321692

7th Edition

Authors: Frederick S. Hillier, Gerald J. Lieberman

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