Performability analysis of an unreliable M/M/1-type queue
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Performability analysis of an unreliable M/M/1-type queue. / Krenzler, Ruslan; Daduna, Hans.
Leistungs-, Zuverlässigkeits- und Verlässlichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen : 8. GI/ITG-Workshop MMBnet 2015, 10./11. September 2015. Hrsg. / Bernd E. Wolfinger; Klaus-D. Heidtmann. Hamburg : Universität Hamburg, 2015. S. 90-95 (Berichte des Fachbereichs Informatik der Universität Hamburg; Band 302).Publikation: Beiträge in Sammelwerken › Aufsätze in Konferenzbänden › Forschung › begutachtet
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TY - CHAP
T1 - Performability analysis of an unreliable M/M/1-type queue
AU - Krenzler, Ruslan
AU - Daduna, Hans
N1 - Conference code: 8
PY - 2015
Y1 - 2015
N2 - 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 how that the system is separable, i.e. the steady state is of product form.
AB - 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 how that the system is separable, i.e. the steady state is of product form.
KW - Mathematics
KW - queueing systems
KW - random breakdown and repair
KW - product form steady state
KW - availability
KW - reactive and preventive maintenance
KW - loss systems
KW - Informatics
KW - availability
M3 - Article in conference proceedings
T3 - Berichte des Fachbereichs Informatik der Universität Hamburg
SP - 90
EP - 95
BT - Leistungs-, Zuverlässigkeits- und Verlässlichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen : 8. GI/ITG-Workshop MMBnet 2015, 10./11. September 2015
A2 - Wolfinger, Bernd E.
A2 - Heidtmann, Klaus-D.
PB - Universität Hamburg
CY - Hamburg
T2 - Leistungs-, Zuverlässigkeits- und Verlässlichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen : 8. GI/ITG-Workshop MMBnet 2015
Y2 - 10 September 2015 through 11 September 2015
ER -