New results on the numerical stability of the stochastic fluid flow model analysis

Document type: Conference Papers
Peer reviewed: Yes
Full text:
Author(s): Markus Fiedler, Holger Voos
Title: New results on the numerical stability of the stochastic fluid flow model analysis
Translated title: Nya resultat gällande den numersika stabiliteten av den stokastiska flödesmodell analysen
Conference name: Networking 2000 Conference
Year: 2000
City: Paris, France
ISI number: 000165370000038
Organization: Blekinge Institute of Technology
Department: Department of Telecommunications and Signal Processing (Institutionen för telekommunikation och signalbehandling)
Department of Telecommunications and Signal Processing S-372 25 Ronneby
+46 455 38 50 00
Authors e-mail: markus.fiedler@bth.se
Language: English
Abstract: The stochastic fluid flow model (SFF) is one of the leading models in performance evaluation for tele- and datacommunication systems, especially in fast packet-switching networks and ATM. However, the numerical analysis of the SFF is widely considered to be unstable. In this paper, some investigations and results are presented concerning the numerical stability of the SFF analysis also for large systems with finite buffer. We identify the main source of the numerical problems and give hints how to circumvent them. The usefulness of different solution methods are compared and the most robust methods for systems with large numbers of sources and large buffer sizes are identifed.
Summary in Swedish: Pappret identifierar anledningar varför den stokastiska flödesmodellen analysen gärna kantrar numeriskt sett och berättar om möjliga åtgärder. Flödesmodell, QoS, numerisk analys, Eigensystem, linjär ekvationssystem
Subject: Telecommunications\Fluid Flow Models
Keywords: fluid flow model, numerical analysis, numerical stability, finite buffer, Eigensystem, system of linear equations
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