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Finding equilibrium in von Neumann's model

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dc.contributor.author Panyukov A.V. en
dc.contributor.author Latipova A.T. en
dc.date.accessioned 2018-10-16T06:38:08Z
dc.date.available 2018-10-16T06:38:08Z
dc.date.issued 2009
dc.identifier.isbn 9783902661432
dc.identifier.issn 14746670
dc.identifier.uri http://dspace.susu.ru/handle/0001.74/20573
dc.description.abstract There is discussed the problem of finding an equilibrium position in von Neumann's model (A, B) under exact and interval settings. Effective numerical methods of finding equilibrium exact von Neumann's model are presented. This methods can be stably implemented with floating-point arithmetic. The proposed methods are based on reducing the problem to solving the corresponding matrix games. Considering interval von Neumann's model, in case of multiplicative uncertainty both primal and dual von Neumann's rays are obtained by point von Neumann's model with matrices of interval centers. Interval of the Frobenius number in case of interval von Neumann's model are obtained by finding equilibrium for two exact von Neumann's models with point matrices of interval upper and lower bounds. © 2009 IFAC. en]
dc.description.sponsorship Honeywell en
dc.language.iso English
dc.relation.ispartof IFAC Proceedings Volumes (IFAC-PapersOnline) en]
dc.subject Business process modelling en]
dc.subject Equilibrium positions en]
dc.subject Floating-point arithmetic en]
dc.subject Frobenius number en]
dc.subject Matrix game en]
dc.subject Multiplicative uncertainty en]
dc.subject Optimization and control en]
dc.subject Point matrices en]
dc.subject Upper and lower bounds en]
dc.subject Von Neumann's model en]
dc.subject Degrees of freedom (mechanics) en]
dc.subject Manufacture en]
dc.subject Numerical methods en]
dc.subject Problem solving en]
dc.title Finding equilibrium in von Neumann's model en
dc.type Conference Paper en]
dc.identifier.doi 10.3182/20090603-3-RU-2001.0339
dc.identifier.scopus https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960925211&doi=10.3182%2f20090603-3-RU-2001.0339&partnerID=40&md5=a9c9b0348d2364176afb3b7f903b9f60
dc.conference.name 13th IFAC Symposium on Information Control Problems in Manufacturing, INCOM'09 en]
dc.conference.date 3 June 2009 through 5 June 2009


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