Heavy traffic limits for multiphase queues

Bibliographic Information

Heavy traffic limits for multiphase queues

F.I. Karpelevich, A.Ya. Kreinin

(Translations of mathematical monographs, v. 137)

American Mathematical Society, c1994

Other Title

Многофазовые системы массового обслуживания в режиме большой нагрузки

Mnogofazovye sistemy massovogo obsluzhivanii︠a︡ v rezhime bolʹshoĭ nagruzki

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Note

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

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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Details

  • NCID
    BA23232133
  • ISBN
    • 0821845977
  • LCCN
    94012418
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    xi, 143 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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