Consider a system that can be in either state 1 or 2 or 3 Each time the system enters state i it remains there for a random amount of time having mean i and then makes a transition into state j with probability Pij Suppose (a) What proportion of transitions takes the system into state 1 (b) If 1 1,...

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Consider a system that can be in either state 1 or 2 or 3. Each time the

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Consider a system that can be in either state 1 or 2 or 3. Each time the system enters state i it remains there for a random amount of time having mean μi and then makes a transition into state j with probability Pij . Suppose

(a) What proportion of transitions takes the system into state 1?

(b) If μ1 = 1,μ2 = 2,μ3 = 3, then what proportion of time does the system spend in each state?

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Introduction To Probability Models

ISBN: 9780443187612

13th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 05, 2024 09:01 AM

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Consider a system that can be in either state 1 or 2 or 3. Each time the

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P12=1, P21 = P23 = , P31=1

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Introduction To Probability Models

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