Heavy traffic limits for multiphase queues

書誌事項

Heavy traffic limits for multiphase queues

F.I. Karpelevich, A.Ya. Kreinin

(Translations of mathematical monographs, v. 137)

American Mathematical Society, c1994

タイトル別名

Многофазовые системы массового обслуживания в режиме большой нагрузки

Mnogofazovye sistemy massovogo obsluzhivanii︠a︡ v rezhime bolʹshoĭ nagruzki

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注記

Includes bibliographical references

内容説明・目次

内容説明

This book analyzes several types of queuing systems arising in network theory and communication theory. Karpelevich and Kreinin use numerous methods and results from the theory of stochastic processes. The main emphasis is on problems of diffusion approximation of stochastic processes in queuing systems and on results based on applications of the hydrodynamic limit method. The book will be useful to researchers working in the theory and applications of queuing theory and stochastic processes.

目次

Introduction Processes with reflection Multiphase systems Limit theorems for queue length and departure times processes Appendix I. Weak convergence in function spaces Appendix II. Weak convergence of functionals of stochastic processes Appendix III. Auxiliary results Appendix IV. Tandem queues in heavy traffic Appendix V. Joint distributions on Pissonian tandem queues Bibliographical notes Bibliography.

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詳細情報

  • NII書誌ID(NCID)
    BA23232133
  • ISBN
    • 0821845977
  • LCCN
    94012418
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    rus
  • 出版地
    Providence, R.I.
  • ページ数/冊数
    xi, 143 p.
  • 大きさ
    26 cm
  • 分類
  • 件名
  • 親書誌ID
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