An Introduction to Queueing Theory and Matrix-Analytic Methods

• Main Authors: Breuer, L. (Author), Baum, D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2005.
• Subjects: Mathematics.; Computer communication systems.; Computer system failures.; Computers.; Mathematical statistics.; Mathematical models.; Probabilities.; Probability Theory and Stochastic Processes.; Computer Communication Networks.; Theory of Computation.; System Performance and Evaluation.; Probability and Statistics in Computer Science.; Mathematical Modeling and Industrial Mathematics.

The present textbook contains the recordsof a two–semester course on que- ing theory, including an introduction to matrix–analytic methods. This course comprises four hours oflectures and two hours of exercises per week andhas been taughtattheUniversity of Trier, Germany, for about ten years in - qu...

Table of Contents:

• Queues: The Art of Modelling
• Markov Chains and Queues in Discrete Time
• Homogeneous Markov Processes on Discrete State Spaces
• Markovian Queues in Continuous Time
• Markovian Queueing Networks
• Renewal Theory
• Markov Renewal Theory
• Semi-Markovian Queues
• Phase-Type Distributions
• Markovian Arrival Processes
• The GI/PH/1 Queue
• The BMAP/G/1 Queue
• Discrete Time Approaches
• Spatial Markovian Arrival Processes.