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Palm Probabilities and Stationary Queues

  • Book
  • © 1987

Overview

Authors:
  1. François Baccelli

    1. INRIA, Le Chesnay Cedex, France

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  2. Pierre Brémaud

    1. Laboratoire des Signaux et Systèmes, CNRS/E.S.E., Gif-sur-Yvette, France

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (18 chapters)

  1. Front Matter

    Pages N2-VII
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  2. Stationary Point Processes and Palm Probabilities

    1. Front Matter

      Pages 1-1
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    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

  3. Back Matter

    Pages 31-32
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  4. Stationary Queueing Systems

    1. Front Matter

      Pages 33-33
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    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
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Keywords

Authors and Affiliations

  • INRIA, Le Chesnay Cedex, France

    François Baccelli

  • Laboratoire des Signaux et Systèmes, CNRS/E.S.E., Gif-sur-Yvette, France

    Pierre Brémaud

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