Probability, Markov Chains, Queues, and Simulation : : The Mathematical Basis of Performance Modeling / / William J. Stewart.

Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduat...

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Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2009]
©2009
Year of Publication:2009
Language:English
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Physical Description:1 online resource (776 p.) :; 175 line illus.
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface and Acknowledgments
  • Part I: PROBABILITY
  • Chapter 1. Probability
  • Chapter 2. Combinatorics-The Art of Counting
  • Chapter 3. Random Variables and Distribution Functions
  • Chapter 4. Joint and Conditional Distributions
  • Chapter 5. Expectations and More
  • Chapter 6. Discrete Distribution Functions
  • Chapter 7. Continuous Distribution Functions
  • Chapter 8. Bounds and Limit Theorems
  • Part II: MARKOV CHAINS
  • Chapter 9. Discrete- and Continuous-Time Markov Chains
  • Chapter 10. Numerical Solution of Markov Chains
  • Part III. QUEUEING MODELS
  • Chapter 11. Elementary Queueing Theory
  • Chapter 12. Queues with Phase-Type Laws: Neuts' Matrix-Geometric Method
  • Chapter 13. The z-Transform Approach to Solving Markovian Queues
  • Chapter 14. The M/G/1 and G/M/1 Queues
  • Chapter 15. Queueing Networks
  • Part IV: SIMULATION
  • Chapter 16. Some Probabilistic and Deterministic Applications of Random Numbers
  • Chapter 17. Uniformly Distributed "Random" Numbers
  • Chapter 18. Nonuniformly Distributed "Random" Numbers
  • Chapter 19. Implementing Discrete-Event Simulations
  • Chapter 20. Simulation Measurements and Accuracy
  • Appendix A: The Greek Alphabet
  • Appendix B: Elements of Linear Algebra
  • Bibliography
  • Index