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

Publikation: Beiträge in SammelwerkenAufsätze in KonferenzbändenForschungbegutachtet

Standard

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 SammelwerkenAufsätze in KonferenzbändenForschungbegutachtet

Harvard

Krenzler, R & Daduna, H 2015, Performability analysis of an unreliable M/M/1-type queue. in BE Wolfinger & K-D Heidtmann (Hrsg.), Leistungs-, Zuverlässigkeits- und Verlässlichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen : 8. GI/ITG-Workshop MMBnet 2015, 10./11. September 2015. Berichte des Fachbereichs Informatik der Universität Hamburg, Bd. 302, Universität Hamburg, Hamburg, S. 90-95, 8. Workshop des GI / ITG-Fachausschusses - MMBnet Workshop 2015, Hamburg, Deutschland, 10.09.15. <http://edoc.sub.uni-hamburg.de/informatik/volltexte/2015/216/>

APA

Krenzler, R., & Daduna, H. (2015). Performability analysis of an unreliable M/M/1-type queue. In B. E. Wolfinger, & K.-D. Heidtmann (Hrsg.), Leistungs-, Zuverlässigkeits- und Verlässlichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen : 8. GI/ITG-Workshop MMBnet 2015, 10./11. September 2015 (S. 90-95). (Berichte des Fachbereichs Informatik der Universität Hamburg; Band 302). Universität Hamburg. http://edoc.sub.uni-hamburg.de/informatik/volltexte/2015/216/

Vancouver

Krenzler R, Daduna H. Performability analysis of an unreliable M/M/1-type queue. in Wolfinger BE, Heidtmann KD, Hrsg., Leistungs-, Zuverlässigkeits- und Verlässlichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen : 8. GI/ITG-Workshop MMBnet 2015, 10./11. September 2015. Hamburg: Universität Hamburg. 2015. S. 90-95. (Berichte des Fachbereichs Informatik der Universität Hamburg).

Bibtex

@inbook{ba7903850b15490b9d626b65500c7dbe,
title = "Performability analysis of an unreliable M/M/1-type queue",
abstract = "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.",
keywords = "Mathematics, queueing systems, random breakdown and repair, product form steady state, availability, reactive and preventive maintenance, loss systems, Informatics, availability",
author = "Ruslan Krenzler and Hans Daduna",
note = "urn:nbn:de:gbv:18-228-7-2163; Leistungs-, Zuverl{\"a}ssigkeits- und Verl{\"a}sslichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen : 8. GI/ITG-Workshop MMBnet 2015 ; Conference date: 10-09-2015 Through 11-09-2015",
year = "2015",
language = "English",
series = "Berichte des Fachbereichs Informatik der Universit{\"a}t Hamburg",
publisher = "Universit{\"a}t Hamburg",
pages = "90--95",
editor = "Wolfinger, {Bernd E.} and Klaus-D. Heidtmann",
booktitle = "Leistungs-, Zuverl{\"a}ssigkeits- und Verl{\"a}sslichkeitsbewertung von Kommunikationsnetzen und verteilten Systemen : 8. GI/ITG-Workshop MMBnet 2015, 10./11. September 2015",
address = "Germany",
url = "http://www.informatik.uni-hamburg.de/TKRN/MMBnet/",

}

RIS

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 -