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- W1563152789 abstract "Abstract In this article, we describe the M / M /∞ queueing system, the simplest example of an infinite server queue in which the customers arrive according to a homogeneous Poisson process and get served immediately. The system has no waiting line and its customers are served in an exponential time and leave the system as soon as their service demand is fully met. Applications of this model can be found in many different fields such as physics, telecommunications, and vehicle traffic. The main advantage of the model, thanks to the independence of customers' behavior across the whole queueing process, is the simplicity of its mathematical description. The M / M /∞ queue is always stable and the stationary distribution of the number of customers in the system is a Poisson random variable. We summarize the main characteristic measures associated with the queue." @default.
- W1563152789 created "2016-06-24" @default.
- W1563152789 creator A5072156048 @default.
- W1563152789 date "2011-01-01" @default.
- W1563152789 modified "2023-09-27" @default.
- W1563152789 title "The <i> <scp>M</scp> </i> / <i> <scp>M</scp> </i> /∞ Queue" @default.
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- W1563152789 doi "https://doi.org/10.1002/9780470400531.eorms0890" @default.
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