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arXiv · 1711.02931

Coupling in the queue with impatience: case of several servers

Pascal Moyal
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Abstract

We present the explicit construction of a stable queue with several servers and impatient customers, under stationary ergodic assumptions. Using a stochastic comparison of the (multivariate) workload sequence with two monotonic stochastic recursions, we propose a sufficient condition of existence of a unique stationary state of the system using Renovation theory. Whenever this condition is relaxed we use extension techniques to prove the existence of a stationary state in some cases.

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Pascal Moyal. 2017-11-17. Coupling in the queue with impatience: case of several servers. https://arxiv.org/abs/1711.02931

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