System modeling and analysis : foundations of system performance evaluation / Hisashi Kobayashi, Brian L. Mark.

"This volume draws on some basic materials from the earlier book by the first author entitled Modeling and analysis: an introduction to system performance evaluation methodology published by Addison-Wesley in 1978"--Preface p.v.

Includes bibliographical references and index.

1.1 Role of Modeling and Analysis - 1.2 Performance Measures - 1.3 Modeling Approaches - 1.4 Examples of Performance Modeling - 1.5 Discussion and Further Reading - Basic Queueing and Loss Models - 2 Basic Queueing Models - 2.1 Introduction - 2.2 Little's Formula and Its Generalization - 2.3 Birth-and-Death Processes - 2.4 Birth-and-Death Queueing Models - 2.5 Discussion and Further Reading - 3 Basic Loss Models - 3.1 Erlang Loss Model: M/M/m(0) or M/M/m/m - 3.3 Insensitivity and Generalization of Loss Models - 3.4 Application Example: Blocking Analysis of Cellular Communication-3.5 Discussion and Further Reading - 4 Non-Markovian Queues - 4.1 Renewal Process and Residual Life - 4.2 Representations of General Distributions - 4.3 M/G/1 Queueing Model - 4.4 G/M/1 Queueing Model- 4.5 G/G/1 Queue and Waiting Time Distribution -4.6 Discussion and Further Reading - 5 Quasi-Reversibility and Queues with Product-Form Solutions- 5.1 Markov Processes and Markov Chains - 5.2 Departure Processes, Reversibility and Quasi-Reversibility - 5.3 M/G/1 Queueing Model - 5.4 M/G/1 with Processor Sharing - 5.5 M/G/1 with LCFS . - 5.6 M/G/1 with LCFS-PR- 5.7 Multiple Customer Classes and Quasi-Reversible Stations- 6.1 Introduction- 7 Loss Networks and Generalized Loss Models - 8 Computational Algorithms for Product-Form Networks - 9.1 Introduction - 10 Phase-Type Process and Matrix Geometric Method- 11 Discrete-Time Queues 442
- 12 Traffic Modeling - 13 Fluid Models - 14 Approximation and Bounding Techniques - 15 Time-Dependent Solutions of Queues- 16 Formulation and Implementation of Simulation Models- 17.2 Experiments and Statistical Inference-