Zero-Automatic Queues

نویسندگان

  • Thu-Ha Dao-Thi
  • Jean Mairesse
چکیده

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-queue with positive and negative customers.

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تاریخ انتشار 2005