Zero-automatic queues and product form
نویسندگان
چکیده
منابع مشابه
Zero-automatic queues and product form
We introduce and study a new model: 0-automatic queues. Roughly, 0-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 0-automatic queues have a product form stationary distribution and a Poisson output process. When considering the two simplest and extremal cases of 0-automatic q...
متن کاملZero-Automatic Queues
We introduce and study a new model: 0-automatic queues. Roughly, 0-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 0-automatic queues are quasi-reversible. When considering the two simplest and extremal cases of 0-automatic queues, we recover the simple M/M/1 queue, and Gelenbe’s G-q...
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 2007
ISSN: 0001-8678,1475-6064
DOI: 10.1017/s000186780000183x