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A Bayesian inference to estimate change point for traffic intensity in M/M/1 queueing model

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The paper is concerned with the problem of change point for the inter arrival time distribution for the M / M /1 queueing system by considering the number of customers… Click to show full abstract

The paper is concerned with the problem of change point for the inter arrival time distribution for the M / M /1 queueing system by considering the number of customers present in the system. Bayesian estimators of traffic intensities, before the change $$(\rho _1)$$ ( ρ 1 ) and after the change $$(\rho _2)$$ ( ρ 2 ) , and the change point m are derived using the informative as well as non-informative priors under different loss functions. Finally a numerical example along with a practical example is given to illustrate the results.

Keywords: change; inference estimate; bayesian inference; traffic; change point

Journal Title: OPSEARCH
Year Published: 2021

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