XMGM: performance modeling using matrix geometric techniques

Boudewijn R.H.M. Haverkort, Aad P.A. van Moorsel, Dirk-Jan Speelman

Research output: Contribution to conferencePaperAcademic

6 Citations (Scopus)
39 Downloads (Pure)

Abstract

Over the last two decades a considerable amount of effort has been put in the development and application of matrix geometric techniques for the analysis of queueing systems of which the (embedded) Markov chain exhibits a regular structure. Most of this work however has been presented in either a mathematical context or an a purely application-oriented context. In this paper we present XMGM, a performance analysis tool which allows its users to easily specify queueing systems in terms of interarrival and service time distributions. XMGM then takes care of the translation of this description to an underlying Markov chain that exhibits a matrix geometric solution. Subsequently, it takes care of the derivation of the measures specified by the user. With XMGM models are specified via C procedure calls. This turns out to be a very flexible approach for modelling queueing systems; it also allows for the easy evaluation of models over parameter ranges
Original languageEnglish
Pages152-157
DOIs
Publication statusPublished - 1994
Event2nd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 1994 - Durham, United States
Duration: 31 Jan 19942 Feb 1994
Conference number: 2

Workshop

Workshop2nd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 1994
Abbreviated titleMASCOTS
CountryUnited States
CityDurham
Period31/01/942/02/94

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Markov processes

Keywords

  • IR-56051

Cite this

Haverkort, B. R. H. M., van Moorsel, A. P. A., & Speelman, D-J. (1994). XMGM: performance modeling using matrix geometric techniques. 152-157. Paper presented at 2nd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 1994, Durham, United States. https://doi.org/10.1109/MASCOT.1994.284430
Haverkort, Boudewijn R.H.M. ; van Moorsel, Aad P.A. ; Speelman, Dirk-Jan. / XMGM: performance modeling using matrix geometric techniques. Paper presented at 2nd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 1994, Durham, United States.
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Haverkort, BRHM, van Moorsel, APA & Speelman, D-J 1994, 'XMGM: performance modeling using matrix geometric techniques' Paper presented at 2nd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 1994, Durham, United States, 31/01/94 - 2/02/94, pp. 152-157. https://doi.org/10.1109/MASCOT.1994.284430

XMGM: performance modeling using matrix geometric techniques. / Haverkort, Boudewijn R.H.M.; van Moorsel, Aad P.A.; Speelman, Dirk-Jan.

1994. 152-157 Paper presented at 2nd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 1994, Durham, United States.

Research output: Contribution to conferencePaperAcademic

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AB - Over the last two decades a considerable amount of effort has been put in the development and application of matrix geometric techniques for the analysis of queueing systems of which the (embedded) Markov chain exhibits a regular structure. Most of this work however has been presented in either a mathematical context or an a purely application-oriented context. In this paper we present XMGM, a performance analysis tool which allows its users to easily specify queueing systems in terms of interarrival and service time distributions. XMGM then takes care of the translation of this description to an underlying Markov chain that exhibits a matrix geometric solution. Subsequently, it takes care of the derivation of the measures specified by the user. With XMGM models are specified via C procedure calls. This turns out to be a very flexible approach for modelling queueing systems; it also allows for the easy evaluation of models over parameter ranges

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Haverkort BRHM, van Moorsel APA, Speelman D-J. XMGM: performance modeling using matrix geometric techniques. 1994. Paper presented at 2nd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 1994, Durham, United States. https://doi.org/10.1109/MASCOT.1994.284430