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Analyzing queues with customer differentiation using matrix analytic methods [PDF]
, 2008 openaire +1 more source
Matrix-analytic methods for fluid queues with finite buffers
Performance Evaluation, 2006 The application of matrix-analytic methods to the resolution of fluid queues has shown a close connection to discrete-state quasi-birth-and-death (QBD) processes. We further explore this similarity and analyze a fluid queue with finite buffer. We show, using a renewal approach, that the stationary distribution is expressed as a linear combination of ...
Da Silva Soares, Ana, Latouche, Guy
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SpringerBriefs in Mathematics, 2012
Matrix-analytic methods are geared toward MCs having state spaces that can be partitioned into subsets called levels. The transition matrices of such MCs, when symmetrically permuted according to increasing level number, should also have a particular nonzero structure, such as block tridiagonal or block Hessenberg.
Tugrul Dayar, Dayar Tugrul
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Matrix-analytic methods are geared toward MCs having state spaces that can be partitioned into subsets called levels. The transition matrices of such MCs, when symmetrically permuted according to increasing level number, should also have a particular nonzero structure, such as block tridiagonal or block Hessenberg.
Tugrul Dayar, Dayar Tugrul
openaire +3 more sources
Matrix-Analytic Methods in Stochastic Models
Springer Proceedings in Mathematics and Statistics, 2013Factorization properties for a MAP-modulated fluid flow model under server vacation policies.- A compressed cyclic reduction for QBDs with low rank upper and lower transitions.- Bilateral matrix-exponential distribution.- AutoCAT: Automated Product-Form Solution of Stochastic Models.- Markovian trees subject to catastrophes: Would they survive forever?.
Latouche, Guy +5 more
exaly +5 more sources
Discrete time queues and matrix-analytic methods
Top, 2002This is an expository paper dealing with discrete time analysis of queues using matrix-analytic methods (MAM). Discrete time analysis queues has always been popular with engineers who are very keen on obtaining numerical values out of their analyses for the sake of experimentation and design.
Attahiru S Alfa, Alfa Attahiru Sule
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A continuous version of matrix-analytic methods with the skip-free to the left property
Communications in Statistics. Stochastic Models, 1996Summary: This paper extends Neuts' M/G/1 paradigm to continuous-time bivariate Markov processes \(\{U_t,S_t: t\geq 0\}\) with the skip-free to the left property. The process \(U_t\) takes values in \([0,\infty)\) and \(S_t\) takes a finite number of values. The process \(U_t\) may either decrease linearly or have upward jump discontinuities.
Tetsuya Takine
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Introduction to Matrix‐Analytic Methods in Queues 1
, 2022 Matrix-analytic methods (MAM) were introduced by Professor Marcel Neuts and have been applied to a variety of stochastic models since.In order to provide a clear and deep understanding of MAM while showing their power, this book presents MAM concepts and
Chakravarthy, Srinivas
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