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Titlebook: Matrix-Analytic Methods in Stochastic Models; Guy Latouche,Vaidyanathan Ramaswami,David Yao Conference proceedings 2013 Springer Science+B

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2194-1009 ncial and risk analysis, and bio-statistics. These research studies provide deep insights and understanding of the stochastic models of interest from a mathematics and/or applications perspective, as well as id978-1-4899-9424-0978-1-4614-4909-6Series ISSN 2194-1009 Series E-ISSN 2194-1017
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Mogens Bladt,Luz Judith R. Esparza,Bo Friis Nielsen
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AutoCAT: Automated Product-Form Solution of Stochastic Models,asingly tighter constraints to determine the exact product-form solution of a model when one exists. This approach is then extended to obtain approximate solutions for non-product-form models. Finally, our new techniques are validated with examples and increasingly complex case studies that show the
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Impact of Dampening Demand Variability in a Production/Inventory System with Multiple Retailers, on fast numerical methods that exploit the structure of the matrices .. and .., i.e., the power method, the Gauss–Seidel iteration, and GMRES, to approximate the steady state probabilities. Finally, we provide various numerical examples that indicate that the smoothing parameters can be set in such
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Conference proceedings 2013hony, electrical and industrial engineering, operations research, management science, financial and risk analysis, and bio-statistics. These research studies provide deep insights and understanding of the stochastic models of interest from a mathematics and/or applications perspective, as well as id
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Sophie Hautphenne,Guy Latouche,Giang T. Nguyenwissenschaftlichen Rechnens in vielen Berufsfeldern zu einem unverzichtbaren Arbeitsmittel. Inhalt von Band 2 siehe ToC.978-3-540-43616-4978-3-642-56191-7Series ISSN 0937-7433 Series E-ISSN 2512-5214
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Bilateral Matrix-Exponential Distributions,mbinations of the coordinates have a univariate bilateral matrix-exponential distribution. As an application we demonstrate that certain multivariate diffusions, which are governed by the underlying Markov jump process generating a phase-type distribution, have a bilateral matrix-exponential distribution at the time of absorption.
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2194-1009 heir application across various fields.This area of mathematMatrix-analytic and related methods have become recognized as an important and fundamental approach for the mathematical analysis of general classes of complex stochastic models. Research in the area of matrix-analytic and related methods s
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Conference proceedings 2013f complex stochastic models. Research in the area of matrix-analytic and related methods seeks to discover underlying probabilistic structures intrinsic in such stochastic models, develop numerical algorithms for computing functionals (e.g., performance measures) of the underlying stochastic process
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