Virtual Waiting Time in the Single-server Queuing System with Unreliable Server

  • Authors:
  • I. S. Mikadze;V. V. Khocholava;R. A. Khurodze

  • Affiliations:
  • Georgian Technical University, Tbilisi, Georgia;Georgian Technical University, Tbilisi, Georgia;Georgian Technical University, Tbilisi, Georgia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2004

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Abstract

The unreliable queuing system was considered both in the stationary and nonstationary modes. A Poisson flow of customers arrives to the system. The flow of stable failures makes up the renewal process, and the inter-failure intervals are distributed hyperexponentially. The times of customer servicing and renewal of the servicing system are distributed arbitrarily. The virtual waiting time was established.