Chair of Computer Networks and Computer Communications
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Publication database

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2007

Conference and workshop papers:

pdf
Patrick Wuechner, Hermann De Meer, Gunter Bolch, Janos Roszik and Janos Sztrik
Modeling Finite-Source Retrial Queueing Systems with Unreliable Heterogeneous Servers and Different Service Policies Using MOSEL
In Khalid Al-Begain, Armin Heindl and Miklos Telek, editor, Proc. of the 14th Int'l Conf. on Analytical and Stochastic Modelling Techniques and Applications (ASMTA 2007) , page 75--80.
2007
ISBN: 0-9553018-4-X (Print); 0-9553018-3-1 (CD)

Keywords: Performance and Reliability Evaluation; Retrial Queuing System Model; Unreliable Heterogeneous Servers

Tags: DFG_MathMod, EuroFGI, MOSEL2

Abstract: This paper deals with the performance analysis of multiple server retrial queueing systems with a finite number of homogeneous sources of calls, where the heterogeneous servers are subject to random breakdowns and repairs. The requests are serviced according to Random Selection and Fastest Free Server disciplines. The novelty of this investigation is the introduction of different service rates and different service policies together with the unreliability of the servers, which has essential influence on the performance of the system, and thus, it plays an important role in practical modeling of computer and communication systems. All random variables involved in the model construction are assumed to be exponentially distributed and independent of each other. The main steady-state performability measures are derived, and several numerical calculations are carried out by the help of the MOSEL tool (Modeling, Specification and Evaluation Language) under different service disciplines. The numerical results are graphically displayed to illustrate the effect of failure rates on the mean response time and on the overall system utilization.

2006

Technical reports:

pdf
Gunter Bolch, Janos Roszik, Janos Sztrik and Patrick Wuechner
Modeling Finite-Source Retrial Queueing Systems with Unreliable Heterogeneous Servers and Different Service Policies using MOSEL
Document number: MIP-0611
Faculty of Computer Science and Mathematics (FIM), University of Passau,
2006

Tags: DFG_MathMod, EPSRC_P2POpt, EuroFGI, EuroNGI, MOSEL2

Abstract: This paper deals with the performance analysis of multiple server retrial queueing systems with a finite number of homogeneous sources of calls, where the heterogeneous servers are subject to random breakdowns and repairs. The requests are serviced according to Random Selection and Fastest Free Server disciplines. The novelty of this investigation is the introduction of different service rates and different service policies together with the unreliability of the servers, which has essential influence on the performance of the system, and thus it plays an important role in practical modeling of computer and communication systems. All random variables involved in the model construction are assumed to be exponentially distributed and independent of each other. The main steady-state performability measures are derived, and several numerical calculations are carried out by the help of the MOSEL tool (Modeling, Specification and Evaluation Language) under different service disciplines. The numerical results are graphically displayed to illustrate the effect of failure rates on the mean response time and on the overall system's utilization.

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