SimuTools - Split and merge strategies for solving uncertain equations using affine arithmetic

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dc.identifier.uri http://dx.doi.org/10.15488/5036
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/5080
dc.contributor.author Scharf, Oliver
dc.contributor.author Olbrich, Markus
dc.contributor.author Barke, Erich
dc.date.accessioned 2019-06-26T12:57:11Z
dc.date.available 2019-06-26T12:57:11Z
dc.date.issued 2015
dc.identifier.citation Scharf, Oliver; Olbrich, Markus; Barke, Erich: SimuTools - Split and merge strategies for solving uncertain equations using affine arithmetic. In: inis 16 (9), e1. DOI: https://doi.org/10.4108/eai.24-8-2015.2260594
dc.description.abstract The behaviour of systems is determined by various parameters. Due to several reasons like e. g. manufacturing tolerances these parameters can have some uncertainties. Corner Case and Monte Carlo simulations are well known approaches to handle uncertain systems. They sample the corners and random points of the parameter space, respectively. Both require many runs and do not guarantee the inclusion of the worst case. As alternatives, range based approaches can be used. They model parameter uncertainties as ranges. The simulation outputs are ranges which include all possible results created by the parameter uncertainties. One type of range arithmetic is the affine arithmetic, which allows to maintain linear correlations to avoid over-approximation. An equation solver based on affine arithmetic has been proposed earlier. Unlike many other range based approaches it can solve implicit non-linear equations. This is necessary for analog circuit simulation. For large uncertainties the solver suffers from convergence problems. To overcome these problems it is possible to split the parameter ranges, calculate the solutions separately and merge them again. For higher dimensional systems this leads to excessive runtimes as each parameter is split. To minimize the additional runtime several split and merge strategies are proposed and compared using two analog circuit examples. eng
dc.language.iso eng
dc.publisher New York, NY : A C M Special Interest Group
dc.relation.ispartof Eighth EAI International Conference on Simulation Tools and Techniques 2015
dc.relation.ispartofseries inis 16 (9)
dc.rights CC BY 3.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/3.0/
dc.subject Parametric statistics eng
dc.subject Mathematical optimization eng
dc.subject Nonlinear system eng
dc.subject Affine arithmetic eng
dc.subject Monte Carlo method eng
dc.subject Corner case eng
dc.subject Solver eng
dc.subject Computer science eng
dc.subject Convergence (routing) eng
dc.subject Parameter space eng
dc.subject.ddc 600 | Technik ger
dc.title SimuTools - Split and merge strategies for solving uncertain equations using affine arithmetic eng
dc.type article
dc.type Text
dc.relation.doi https://doi.org/10.4108/eai.24-8-2015.2260594
dc.bibliographicCitation.volume 2015
dc.bibliographicCitation.firstPage 1
dc.bibliographicCitation.lastPage 8
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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