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Palm Probabilities and Stationary Queues

  • François Baccelli
  • Pierre Brémaud
Book

Part of the Lecture Notes in Statistics book series (LNS, volume 41)

Table of contents

  1. Front Matter
    Pages N2-VII
    PDF

  2. Stationary Point Processes and Palm Probabilities

    1. Front Matter
      Pages 1-1
      PDF
    2. Stationary Marked Point Processes
      François Baccelli, Pierre Brémaud
      Pages 2-7
    3. Intensity
      François Baccelli, Pierre Brémaud
      Pages 7-8
    4. Palm Probabilities
      François Baccelli, Pierre Brémaud
      Pages 8-13
    5. From Palm Probability to Stationary Probability
      François Baccelli, Pierre Brémaud
      Pages 13-18
    6. Examples
      François Baccelli, Pierre Brémaud
      Pages 18-21
    7. Local Aspects of Palm Probability
      François Baccelli, Pierre Brémaud
      Pages 21-23
    8. Characterization of Poisson Processes
      François Baccelli, Pierre Brémaud
      Pages 23-27
    9. Ergodicity of Point Processes
      François Baccelli, Pierre Brémaud
      Pages 27-32
    10. Back Matter
      Pages 31-32
      PDF

  3. Stationary Queueing Systems

    1. Front Matter
      Pages 33-33
      PDF
    2. The G/G/1/∞ Queue : Construction of the Customer-Stationary State
      François Baccelli, Pierre Brémaud
      Pages 34-40
    3. Formulae for the G/G/1/∞ Queue
      François Baccelli, Pierre Brémaud
      Pages 40-43
    4. The G/G/s/∞ Queue
      François Baccelli, Pierre Brémaud
      Pages 43-48
    5. The G/G/1/0 Queue
      François Baccelli, Pierre Brémaud
      Pages 48-53
    6. Other Queueing Systems
      François Baccelli, Pierre Brémaud
      Pages 54-62
    7. The Bedienungssysteme
      François Baccelli, Pierre Brémaud
      Pages 62-68
    8. The Insensitivity Balance Equations
      François Baccelli, Pierre Brémaud
      Pages 69-73
    9. The Insensitivity Theorem
      François Baccelli, Pierre Brémaud
      Pages 73-77
    10. Insensitivity Balance Equations are Necessary for Insensitivity
      François Baccelli, Pierre Brémaud
      Pages 77-83
    11. Poisson Streams
      François Baccelli, Pierre Brémaud
      Pages 84-94
    12. Back Matter
      Pages 95-99
      PDF
  4. Back Matter
    Pages 100-109
    PDF

About this book

Keywords

Ergodic theory Markov chain Poisson process Probability space Variance balance equation ergodicity point process

Authors and affiliations

  • François Baccelli
    • 1
  • Pierre Brémaud
    • 2
  1. 1.INRIALe Chesnay CedexFrance
  2. 2.Laboratoire des Signaux et SystèmesCNRS/E.S.E.Gif-sur-YvetteFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-7561-0
  • Copyright Information Springer-Verlag New York 1987
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-96514-7
  • Online ISBN 978-1-4615-7561-0
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site
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