Computational Probability

Chapter 3 discusses how to find transient probabilities and transient rewards for these Markov chains. The next two chapters indicate how to find steady-state probabilities for Markov chains with a finite number of states. Both direct and iterative methods are described in Chapter 4. Details of thes...

Full description

Bibliographic Details
Other Authors: Grassmann, Winfried K. (Editor)
Format: eBook
Language:English
Published: New York, NY Springer US 2000, 2000
Edition:1st ed. 2000
Series:International Series in Operations Research & Management Science
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Computational Probability: Challenges and Limitations
  • 2 Tools for Formulating Markov Models
  • 3 Transient Solutions for Markov Chains
  • 4 Numerical Methods for Computing Stationary Distributions of Finite Irreducible Markov Chains
  • 5 Stochastic Automata Networks
  • 6 Matrix Analytic Methods
  • 7 Use of Characteristic Roots for Solving Infinite State Markov Chains
  • 8 An Introduction to Numerical Transform Inversion and Its Application to Probability Models
  • 9 Optimal Control of Markov Chains
  • 10 On Numerical Computations of Some Discrete-Time Queues
  • 11 The Product Form Tool for Queueing Networks
  • 12 Techniques for System Dependability Evaluation