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- W2068312077 abstract "We continue the study of zero-automatic queues first introduced in [3]. These queues are characterized by a special buffering mechanism evolving like a random walk on some infinite group or monoid. The simple M/M/1 queue and Gelenbe's G-queue with positive and negative customers are the two simplest 0-automatic queues. All 0-automatic queues are quasi-reversible [3]. In this paper, we introduce and study networks of 0-automatic queues. We consider two types of networks, with either a Jackson-like or a Kelly-like routing mechanism. In both cases, and under the stability condition, we prove that the stationary distribution of the buffer content has a product-form and can be explicitly determined." @default.
- W2068312077 created "2016-06-24" @default.
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- W2068312077 date "2006-01-01" @default.
- W2068312077 modified "2023-10-16" @default.
- W2068312077 title "Zero-automatic networks" @default.
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- W2068312077 doi "https://doi.org/10.1145/1190095.1190098" @default.
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