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Computations with Markov Chains

Proceedings of the 2nd International Workshop on the Numerical Solution of Markov Chains

  • Conference proceedings
  • © 1995

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Editors:
  1. William J. Stewart

    1. North Carolina State University, Raleigh, USA

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Table of contents (37 papers)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Detecting Block GI/M/1 and Block M/G/1 Matrices from Model Specifications

    • Steven Bersonl, Richard Muntz
    Pages 1-19

  3. On Cyclic Reduction Applied to a Class of Toeplitz-Like Matrices Arising in Queueing Problems

    • Dario Bini, Beatrice Meini
    Pages 21-38

  4. A Markov Modulated, Nearly Completely Decomposable M/M/1 Queue

    • Guy Latouche, Paul J. Schweitzer
    Pages 39-48

  5. Preconditioned Krylov Subspace Methods for the Numerical Solution of Markov Chains

    • Yousef Saad
    Pages 49-64

  6. A Parallel Block Projection Method of the Cimmino Type for Finite Markov Chains

    • M. Benzi, F. Sgallari, G. Spaletta
    Pages 65-80

  7. Iterative Methods for Queueing Models with Batch Arrivals

    • Raymond H. Chan, Wai-ki Ching
    Pages 81-93

  8. Transient Solutions of Markov Processes by Krylov Subspaces

    • Bernard Philippe, Roger B. Sidje
    Pages 95-119

  9. Exact Methods for the Transient Analysis of Nonhomogeneous Continuous Time Markov Chains

    • A. Rindos, S. Woolet, I. Viniotis, K. Trivedi
    Pages 121-133

  10. Time-Dependent Behavior of Redundant Systems with Deterministic Repair

    • Dimitris Logothetis, Kishor Trivedi
    Pages 135-150

  11. What is Fundamental for Markov Chains: First Passage Times, Fundamental Matrices, and Group Generalized Inverses

    • Daniel P. Heyman, Dianne P. O’Leary
    Pages 151-161

  12. Immediate Events in Markov Chains

    • Winfried K. Grassmann, Yuru Wang
    Pages 163-176

  13. Compositional Markovian Modelling Using a Process Algebra

    • Jane Hillston
    Pages 177-196

  14. Equivalence Relations for Stochastic Automata Networks

    • Peter Buchholz
    Pages 197-215

  15. Graphs and Stochastic Automata Networks

    • Jean-Michel Fourneau, Franck Quessette
    Pages 217-235

  16. Analyzing Sample Path Data from Markov Chain Sampling Experiments

    • George S. Fishman
    Pages 237-253

  17. Resource-Sharing Models with State-Dependent Arrivals of Batches

    • Gagan L. Choudhury, Kin K. Leung, Ward Whitt
    Pages 255-282

  18. Implementable Policies: Discounted Cost Case

    • Yasemin Serin, Vidyadhar G. Kulkarni
    Pages 283-306

  19. Two Bounding Schemes for the Steady-State Solution of Markov Chains

    • Pierre Semal
    Pages 307-320

  20. The Power-Series Algorithm for Markovian Queueing Networks

    • W. B. van den Hout, J. P. C. Blanc
    Pages 321-338
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About this book

Computations with Markov Chains presents the edited and reviewed proceedings of the Second International Workshop on the Numerical Solution of Markov Chains, held January 16--18, 1995, in Raleigh, North Carolina. New developments of particular interest include recent work on stability and conditioning, Krylov subspace-based methods for transient solutions, quadratic convergent procedures for matrix geometric problems, further analysis of the GTH algorithm, the arrival of stochastic automata networks at the forefront of modelling stratagems, and more.
An authoritative overview of the field for applied probabilists, numerical analysts and systems modelers, including computer scientists and engineers.

Editors and Affiliations

  • North Carolina State University, Raleigh, USA

    William J. Stewart

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