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arXiv · 2306.15653

A queueing model with servers disguised as customers

Janhavi Prabhu·Myron Hlynka
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Abstract

We propose a new queueing model, motivated by the phenomenon of pseudoprogression in cancer, in which the length of a queue appears to increase initially, before reducing to a steady state. We assume that servers arrive to the queue alongside the customers, i.e. `disguised' as customers. We derive the general equations for this model using matrix analytic methods, and demonstrate its behaviour with numerical simulations.

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Janhavi Prabhu, Myron Hlynka. 2023-06-27. A queueing model with servers disguised as customers. https://arxiv.org/abs/2306.15653

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