5 It follows from Exercise 4 that if, in the M M 1 model, W Q is the amount of time that a customer spends waiting in queue, then W Q 0, with probability 1 Exp( ), with probability where Exp( ) is an exponential random variable with rate Using this, find Var(W Q) ...

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5. It follows from Exercise 4 that if, in the M/M/1 model, W Q is the amount...

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5. It follows from Exercise 4 that if, in the M/M/1 model, W∗

Q is the amount of time that a customer spends waiting in queue, then W∗

Q =

0, with probability 1 − λ/μ

Exp(μ − λ), with probability λ/μ

where Exp(μ − λ) is an exponential random variable with rate μ − λ. Using this, find Var(W∗

Q).

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Introduction To Probability Models

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9th Edition

Authors: Sheldon M Ross

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5. It follows from Exercise 4 that if, in the M/M/1 model, W Q is the amount...

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Introduction To Probability Models

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