Performability analysis of an unreliable M/M/1-type queue

Publikation: Beiträge in SammelwerkenAufsätze in KonferenzbändenForschungbegutachtet

Authors

We consider a single server exponential queue with infinite waiting room and state dependent service rates. The server is unreliable and wears down when active and additionally may break down randomly. Repair times are random as well. The system is controlled with the possibility of preventive maintenance after a fixed number of services. This number is subject of optimization under a prescribed general cost structure. In case of
breakdown (i.e. under repair) or during preventive maintenance no service is possible and no new customers are admitted.

We determine explicitly the stationary distribution of the queueing-availability process and show that the system is separable, i.e. the steady state is of product form.
OriginalspracheEnglisch
TitelLeistungs-, Zuverlässigkeits- und Verlässlichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen : 8. GI/ITG-Workshop MMBnet 2015, 10./11. September 2015
HerausgeberBernd E. Wolfinger, Klaus-D. Heidtmann
Anzahl der Seiten6
ErscheinungsortHamburg
VerlagUniversität Hamburg
Erscheinungsdatum2015
Seiten90-95
PublikationsstatusErschienen - 2015
Extern publiziertJa
Veranstaltung8. Workshop des GI / ITG-Fachausschusses - MMBnet Workshop 2015: Leistungs-, Zuverlässigkeits- und Verlässlichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen - Hamburg, Deutschland
Dauer: 10.09.201511.09.2015
Konferenznummer: 8
http://www.informatik.uni-hamburg.de/TKRN/MMBnet/

    Fachgebiete

  • Mathematik - queueing systems, random breakdown and repair, product form steady state, availability, reactive and preventive maintenance, loss systems
  • Informatik - availability

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