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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.

Sample Chapter(s)
Chapter 1: Recurrence and Regeneration (140 KB)


Contents:
  • Recurrence and Regeneration
  • Markov Renewal and Markov-Additive Processes
  • Theory of Semiregenerative Phenomena
  • Theory of Markov Random Walks
  • Limit Theorems for Markov Random Walks
  • Markov-Additive Processes of Arrivals
  • Markov-Modulated Single Server Queueing Systems
  • A Storage Model for Data Communication Systems
  • A Markovian Storage Model

Readership: Academics, researchers and graduate students who are interested in queueing theory and stochastic processes.