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.