Abstract
The queue with an infinite number of servers is, with the M/M/1queue, a basic model. It plays a crucial role in most of the stochastic models of communication networks. If the M/M/1 queue is the basic element of a Jackson network (see Section 4.4.1 page 92), the M/M/∞ queue is the basic element of loss networks (see Example 4.2.3 page 88) used to represent communication networks. As it is the case for the M/M/1 queue, the stochastic processes describing this queue are not only important in the analysis of queueing systems but also in various areas such as statistical physics or theoretical computer science.
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Robert, P. (2003). The M/M/∞ Queue. In: Stochastic Networks and Queues. Applications of Mathematics, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13052-0_6
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DOI: https://doi.org/10.1007/978-3-662-13052-0_6
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