A Queueing Network with Random-Delay Signals

  • Authors:
  • P. P. Bocharov

  • Affiliations:
  • Peoples Friendship University, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2002

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Abstract

A queueing network with an input flow of signals, along with a flow of ordinary (positive) customers, at its nodes is studied. A random time is required to activate a signal upon arrival at a node. The stationary state probability distribution for a network with single-server nodes and exponential service time distribution is derived in product form. A product-form solution for a symmetric network with Markov service at nodes is also derived.