Studying the queue length in a single-server queuing system with unreliable server

  • Authors:

  • I. S. Mikadze;V. V. Khocholava

  • Affiliations:

  • Georgian Technical University, Tbilisi;Georgian Technical University, Tbilisi

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2005

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Abstract

The unreliable queuing system was studied in both the nonstationary and stationary modes. It was assumed that a Poisson flow of customers arrives to the system; the times of customer servicing and restoration of the server (servicing system) are random variables with arbitrary distributions; the flow of stable failures makes up the restoration process; the interfailure intervals are distributed hyperexponentially; and the waiting and sojourn times as well as the queue length are not limited.