State probabilities for an M/M/1 queuing system with two capacity levels

Alexander Hübl, Klaus Altendorfer

Publikation: Beitrag in Buch/Bericht/TagungsbandKonferenzbeitragBegutachtung

5 Zitate (Scopus)

Abstract

Flexible capacity of production system gets in times of short-time working and economic crisis an increasingly important status. Therefore, models to handle flexible capacity of production systems are necessary. In production planning queuing theory is a widely applied modeling approach. Since classical M/M/1 queuing models neglect flexible capacity this work implements two production rates in an M/M/1 queuing model. Whenever the queue length is more than k, the system runs at high speed otherwise low speed is used. The aim of this paper is the calculation of the state probabilities of the Markov chain. The state probabilities are the basis for developing an approximation for the production lead time which is dedicated to further research. Finally, a simulation study for the evaluation of state probabilities for flexible capacity with one and two switching points is conducted.
OriginalspracheEnglisch
Titel2015 Winter Simulation Conference, WSC 2015
Herausgeber (Verlag)IEEE
Seiten2219-2226
Seitenumfang8
ISBN (elektronisch)9781467397438
DOIs
PublikationsstatusVeröffentlicht - 16 Feb. 2016
Veranstaltung2015 Wintersim Conference - Huntington Beach, USA/Vereinigte Staaten
Dauer: 6 Dez. 20159 Dez. 2015
http://www.wintersim.org

Publikationsreihe

NameProceedings - Winter Simulation Conference
Band2016-February
ISSN (Print)0891-7736

Konferenz

Konferenz2015 Wintersim Conference
Land/GebietUSA/Vereinigte Staaten
OrtHuntington Beach
Zeitraum06.12.201509.12.2015
Internetadresse

Fingerprint

Untersuchen Sie die Forschungsthemen von „State probabilities for an M/M/1 queuing system with two capacity levels“. Zusammen bilden sie einen einzigartigen Fingerprint.

Zitieren