Results 261 to 270 of about 322,605 (305)

Matrix Analytic Methods

2000
This chapter shows how to find the equilibrium probabilities in processes of GI/M/1 type, and M/G/1 type, and GI/G/1 type by matrix analytic methods. GI/M/1-type processes are Markov chains with transition matrices having the same structure as the imbedded Markov chain of a GI/M/1 queue, except that the entries are matrices rather than scalars ...
Winfried K. Grassmann, David A. Stanford
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The use of non-linear programming in matrix analytic methods

Communications in Statistics. Stochastic Models, 1998
Summary: We present new methods for finding the \(R\) and \(G\) matrices which play a crucial role in determining the steady-state distribution of Markov chains of the GI/M/1 and M/C/1 type respectively. The methods involve finding solutions to some nonlinear programming problems.
Alfa, Attahiru Sule, Sengupta, Bhaskar, Takine, Tetsuya   +2 more
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Matrix-analytic methods in queuing theory

European Journal of Operational Research, 1984
Abstract This review describes the development during the past decade of a number of matrix-analytic methods for the study of a variety of stochastic models, primarily queues but also certain models for dams and inventories. This work originated in the search for algorithmic methods and has led to results that are well-suited for computer ...
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Introduction to Matrix Analytic Methods in Stochastic Modeling

1999
info:eu-repo/semantics ...
Latouche, Guy, Ramaswami, V.
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MAMSolver: A Matrix Analytic Methods Tool

2002
MAMsolver is a software tool for the solution of M/G/1- type, GI/M/1-type, and QBD processes. The collection of solution algorithms implemented by MAMsolver are known as matrix-analytic methods and are used to compute stationary measures of interest such as the probability vector, the queue length distribution, the waiting time, the system queue length,
Alma Riska, Evgenia Smirni
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Introduction to Matrix Analytic Methods in Stochastic Modeling

Technometrics, 2001
(2001). Introduction to Matrix Analytic Methods in Stochastic Modeling. Technometrics: Vol. 43, No. 3, pp. 379-380.
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Matrix analytical methods for M/PH/1 Retrial queues

Communications in Statistics. Stochastic Models, 1995
Summary: A matrix analytical approach is applied to retrial queues with phase type service time distributions. A matrix product form is obtained for the joint stationary distribution of queue length and service phase and a stability condition is derived. A numerical method is derived for obtaining the distribution of the number of retrials per customer
Diamond, Jeffrey E., Alfa, Attahiru Sule
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Analysis of IEEE 802.11 non-saturated DCF by matrix analytic methods

Annals of Operations Research, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yun Han Bae, Kyung Jae Kim, Mi-Nam Moon, Bong Dae Choi   +3 more
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SMCSolver and Q-MAM

ACM SIGMETRICS Performance Evaluation Review, 2012
Matrix-analytic methods have advanced considerably since the pioneering work of Marcel Neuts [6, 5] on Quasi-Birth-Death (QBD), GI/M/1- and M/G/1- type Markov chains (MCs). Especially the algorithms involved to (iteratively) solve these structured Markov chains have matured a lot, which has resulted in more efficient, but also more complex algorithms ...
BINI, DARIO ANDREA, MEINI, BEATRICE, STEFFE', SERGIO, Pérez JF, Van Houdt B.   +4 more
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Differentiability of the matrices r and g in the matrix-analytic method

Communications in Statistics. Stochastic Models, 1995
In the matrix-analytic method of queueing theory certain matrices \(R(x)\) and \(G(x)\) depending on the variable \(x\) are used [see e.g. \textit{M. F. Neuts}, ``Matrix-geometric solutions in stochastic models. An algorithmic approach'' (1981; Zbl 0469.60002)].
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