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- W2952244475 abstract "We introduce and study a new model: zero-automatic queues . Roughly, zero-automatic queues are characterized by a special buffering mechanism evolving like a random walk on some infinite group or monoid. The salient result is that all stable zero-automatic queues have a product form stationary distribution and a Poisson output process. When considering the two simplest and extremal cases of zero-automatic queues, we recover the simple M/M/1 queue and Gelenbe's G -queue with positive and negative customers." @default.
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- W2952244475 date "2007-06-01" @default.
- W2952244475 modified "2023-10-18" @default.
- W2952244475 title "Zero-automatic queues and product form" @default.
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- W2952244475 doi "https://doi.org/10.1017/s000186780000183x" @default.
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