Description

Book Synopsis
The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.

Table of Contents
Foundations of Markov Random Walks and Markov Additive Processes: Theory of Semiregenerative Phenomena; Markov Random Walk-Fluctuation Theory and Wiener-Hopf Factorization; Further Results for Semiregenerative Phenomena; Limits Theorems for Markov Random Walks; Markov Renewal and Markov-Additive Processes -- A Review and Some New Results; Markov-Additive Processes of Arrivals; Application Examples: Markov-Modulated Single-Server Queueing Systems; A Storage Model for Data Communications Systems; A Markovian Storage Model.

Markov-modulated Processes And Semiregenerative

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A Hardback by Antonio Pacheco, Loon Ching Tang, Narahari U Prabhu

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    View other formats and editions of Markov-modulated Processes And Semiregenerative by Antonio Pacheco

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 05/12/2008
    ISBN13: 9789812793188, 978-9812793188
    ISBN10: 9812793186
    Also in:
    Stochastics

    Description

    Book Synopsis
    The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.

    Table of Contents
    Foundations of Markov Random Walks and Markov Additive Processes: Theory of Semiregenerative Phenomena; Markov Random Walk-Fluctuation Theory and Wiener-Hopf Factorization; Further Results for Semiregenerative Phenomena; Limits Theorems for Markov Random Walks; Markov Renewal and Markov-Additive Processes -- A Review and Some New Results; Markov-Additive Processes of Arrivals; Application Examples: Markov-Modulated Single-Server Queueing Systems; A Storage Model for Data Communications Systems; A Markovian Storage Model.

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