License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/DagSemProc.05391.5
URN: urn:nbn:de:0030-drops-4441
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2006/444/
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Luther, Wolfram ; Haßlinger, Gerhard ; Auer, Ekaterina ; Dyllong, Eva ; Traczinski, Daniela ; Traczinski, Holger

Integration of reliable algorithms into modeling software

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05391.LutherWolfram.Paper.444.pdf (0.5 MB)

Abstract

In this note we discuss strategies that would enhance modern modeling and simulation software (MSS) with reliable routines using validated data types, controlled rounding, algorithmic differentiation and interval equation or initial value problem solver. Several target systems are highlighted. In stochastic traffic modeling, the computation of workload distributions plays a prominent role since they influence the quality of service parameters. INoWaTIV is a workload analysis tool that uses two different techniques: the polynomial factorization approach and the Wiener-Hopf factorization to determine the work-load distributions of GI/GI/1 and SMP/GI/1 service systems accurately. Two extensions of a multibody modeling and simulation software were developed to model kinematic and dynamic properties of multibody systems in a validated way. Furthermore, an interface was created that allows the computation of convex hulls and reliable lower bounds for the distances between subpav-ing-encoded objects constructed with SIVIA (Set Inverter Via Interval Analysis).

BibTeX - Entry

@InProceedings{luther_et_al:DagSemProc.05391.5,
  author =	{Luther, Wolfram and Ha{\ss}linger, Gerhard and Auer, Ekaterina and Dyllong, Eva and Traczinski, Daniela and Traczinski, Holger},
  title =	{{Integration of reliable algorithms into modeling software}},
  booktitle =	{Algebraic and Numerical Algorithms and Computer-assisted Proofs},
  pages =	{1--17},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{5391},
  editor =	{Bruno Buchberger and Shin'ichi Oishi and Michael Plum and Sigfried M. Rump},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2006/444},
  URN =		{urn:nbn:de:0030-drops-4441},
  doi =		{10.4230/DagSemProc.05391.5},
  annote =	{Keywords: Reliable algorithms, stochastic traffic modeling, multibody modeling tools, geometric modeling}
}

Keywords: Reliable algorithms, stochastic traffic modeling, multibody modeling tools, geometric modeling
Collection: 05391 - Algebraic and Numerical Algorithms and Computer-assisted Proofs
Issue Date: 2006
Date of publication: 31.01.2006

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