On the Stability of a Queueing System with Uncountably Branching Fluid Limits

نویسندگان

  • Artyom P. Kovalevskii
  • Valentin Topchii
  • S. G. Foss
چکیده

Abstract—It is known that in many queueing systems fluid limits are deterministic functions. Models and conditions which lead to random fluid limits have not received much attention. This paper is devoted to a study of a queueing network whose fluid limits admit a random and uncountable branching at certain points. Stability conditions for this model are investigated by the use of recent results from the theory of branching processes.

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عنوان ژورنال:
  • Probl. Inf. Transm.

دوره 41  شماره 

صفحات  -

تاریخ انتشار 2005