Matrix-analytic methods : theory and applications : proceedings of the fourth international conference : Adelaide, Australia, 14-16 July 2002 /

Matrix-analytic methods are fundamental to the analysis of a family of Markov processes rich in structure and of wide applicability. They are extensively used in the modelling and performance analysis of computer systems, telecommunication networks, network protocols and many other stochastic system...

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Bibliographic Details
Corporate Authors: International Conference on Matrix-Analytic Methods in Stochastic Models Adelaide, Australia); World Scientific (Firm)
Group Author: Latouche, G. (Guy) (Editor); Taylor, Peter (Peter G.) (Editor)
Published: World Scientific Pub. Co.,
Publisher Address: Singapore ; River Edge, N.J. :
Publication Dates: 2002.
Literature type: eBook
Language: English
Subjects:
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/5009#t=toc
Summary: Matrix-analytic methods are fundamental to the analysis of a family of Markov processes rich in structure and of wide applicability. They are extensively used in the modelling and performance analysis of computer systems, telecommunication networks, network protocols and many other stochastic systems of current commercial and engineering interest. This volume deals with: (1) various aspects of the theory of block-structured Markov chains; (2) analysis of complex queueing models; and (3) parameter estimation and specific applications to such areas as cellular mobile systems, FS-ALOHA, the Internet and production systems.
Carrier Form: 1 online resource (xiv,416pages) : illustrations
Bibliography: Includes bibliographical references.
ISBN: 9789812777164 (electronic bk.)
CLC: O211.62-532
Contents: A new algorithm for computing the rate matrix of GI/M/1 type Markov chains / Attahiru Sule Alfa ... [et al.] -- Decay rates of discrete phase-type distributions with infinitely-many phases / Nigel Bean and Bo Friis Nielsen -- Distributions of reward functions on continuous-time Markov chains / Mogens Bladt ... [et al.] -- A batch Markovian queue with a variable number of servers and group services / Srinivas R. Chakravarthy and Alexander N. Dudin -- Further results on the similarity between fluid queues and QBDs / Ana da Silva Soares and Guy Latouche -- Penalised maximum likelihood estimation of the parameters in a Coxian phase-type distribution / Malcolm Faddy -- MAP/PH/1 queues with level-dependent feedback and their departure processes / David Green -- A matrix analytic model for machine maintenance / David Green, Andrew V. Metcalfe and David C. Swailes -- A linear program approach to ergodicity of M/G/1 type Markov chains with a tree structure / Qi-Ming He and Hui Li -- Matrix geometric solution of fluid stochastic Petri nets / Andr s Horv th and Marco Gribaudo -- A Markovian point process exhibiting multifractal behavior and its application to traffic modeling / Andr s Horv th and Mikl s Telek -- Convergence of the ratio "variance over mean" in the IPhP[symbol] / Guy Latouche and Marie-Ange Remiche -- Application of the factorization property to the analysis of production systems with a non-renewal input, bilevel threshold control, setup time and maintenance / Ho Woo Lee, No Ik Park and Jongwoo Jeon -- A constructive method for finding -invariant measures for transition matrices of M/G/1 type / Quan-Lin Li and Yiqiang Zhao -- A paradigm of Markov additive processes for queues and their networks / Masakiyo Miyazawa -- Spectral methods for a tree structure MAP / Shoichi Nishimura -- Sojourn and passage times in Markov chains / Claudia Nunes and Ant nio Pacheco -- Matrix-analytic analysis of a MAP/PH/1 queue fitted to web server data / Alma Riska ... [et al.] -- Analysis of parallel-server queues under spacesharing and timesharing disciplines / Jay Sethuraman and Mark S. Squillante -- Robustness of FS-ALOHA / Benny van Houdt and Chris Blondia -- Accurate estimate of spectral radii of rate matrices of GI/M/1 type Markov chains / Qiang Ye.