A variant of the Geo/G/1 queues with disasters and general repair times Articles uri icon

publication date

  • December 2018

start page

  • 1

end page

  • 15

international standard serial number (ISSN)

  • 0361-0926

electronic international standard serial number (EISSN)

  • 1532-415X

abstract

  • This paper deals with Geo/G/1 queues with a repairable server. The server is subject to failure due to a disaster arrival, which can occur while the server is turned on and not only when it is busy. At a failure instant, the server is turned off and its repair process begins. During the repair process, two models are considered. For both models, we present the PGF and the expected number of clients in the system in the steady state.

keywords

  • Repairable systems
    Disasters;
    Geo/G/1 queues;
    Repair times
    Queue length