A Stable Mean Value Analysis Algorithm for Closed Systems with Load-dependent Queues

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dc.contributor.authorZhang, Lei
dc.contributor.authorDown, Douglas G.
dc.date.accessioned2025-06-17T14:46:48Z
dc.date.available2025-06-17T14:46:48Z
dc.date.issued2017-05-03
dc.descriptionVALUETOOLS'16: 10th EAI International Conference on Performance Evaluation Methodologies and Tools, October 25–28, 2016, Taormina, Italy
dc.description.abstractThe load-dependent Mean Value Analysis (MVA) algorithm suffers from numerical instability. Different techniques have been adopted to avoid this issue, however, they either have large complexities or restrictive assumptions. In this paper, we introduce a numerically Stable MVA (SMVA) algorithm for product-form networks that allows for load-dependent queues. The SMVA algorithm offers an efficient and accurate approximate solution. We validate SMVA by comparing it to other MVA algorithms in a concrete example, and analyze its errors. We also extend it to a multi-class model.
dc.description.sponsorshipThe work reported in this paper was supported by the Ontario Research Fund and the Natural Sciences and Engineering Research Council of Canada
dc.description.urihttps://dl.acm.org/doi/10.4108/eai.25-10-2016.2266403
dc.format.extent4 pages
dc.genreconference papers and proceedings
dc.identifierdoi:10.13016/m2m9un-r6aw
dc.identifier.citationZhang, Lei, and Douglas Down. “A Stable Mean Value Analysis Algorithm for Closed Systems with Load-Dependent Queues.” In Proceedings of the 10th EAI International Conference on Performance Evaluation Methodologies and Tools on 10th EAI International Conference on Performance Evaluation Methodologies and Tools, 178–81. VALUETOOLS’16. Brussels, BEL: ICST (Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering), 2017. https://doi.org/10.4108/eai.25-10-2016.2266403.
dc.identifier.urihttps://doi.org/10.4108/eai.25-10-2016.2266403
dc.identifier.urihttp://hdl.handle.net/11603/39082
dc.language.isoen_US
dc.publisherACM
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Information Systems Department
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.subjectnumerical stability
dc.subjecterformance evaluation
dc.subjectmean value analysis
dc.titleA Stable Mean Value Analysis Algorithm for Closed Systems with Load-dependent Queues
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0001-9343-3654

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