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On Bayesian Estimation for Join the Shortest Queue Model

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Ghashim, Ehssan

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On Bayesian Estimation for Join the Shortest Queue Model
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12
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We are concerned with an M /M /- join the shortest queue type with N parallel queues for an arbitrary large N, in which each queue has a dedicated input stream. Each server has an exponential service rate μ. Assuming the steady-state case, a bayesian paradigm is used in estimating the traffic intensity based on queue length data only and based on the mean field interaction model for the limiting behavior of the JSQ model studied by Daw- son et al. (2019) . Several prior distributions are taken into account and numerical results show the accuracy of our estimate of the traffic intensity.