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Heavy Traffic Limits for Multiphase Queues
 
F. I. Karpelevich Institute of Earthquake Forecasting
Heavy Traffic Limits for Multiphase Queues
Hardcover ISBN:  978-0-8218-4597-4
Product Code:  MMONO/137
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4545-4
Product Code:  MMONO/137.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4597-4
eBook: ISBN:  978-1-4704-4545-4
Product Code:  MMONO/137.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Heavy Traffic Limits for Multiphase Queues
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Heavy Traffic Limits for Multiphase Queues
F. I. Karpelevich Institute of Earthquake Forecasting
Hardcover ISBN:  978-0-8218-4597-4
Product Code:  MMONO/137
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4545-4
Product Code:  MMONO/137.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4597-4
eBook ISBN:  978-1-4704-4545-4
Product Code:  MMONO/137.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1371994; 143 pp
    MSC: Primary 60; Secondary 90

    This book analyzes several types of queueing 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 queueing 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 queueing theory and stochastic processes.

    Readership

    Researchers working in the theory and applications of queueing theory and stochastic processes.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Chapter I. Processes with reflection
    • Chapter II. Multiphase systems
    • Chapter III. Limit theorems for queue length and departure times processes
  • Reviews
     
     
    • The authors have done an excellent work to unify several approximation techniques. This is a high quality contribution to the scope, theory and methodology of multiphase queueing systems in terms of its lucid presentation, insights and directions. Researchers in this field will find this outstanding monograph. very useful.

      Zentralblatt MATH
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1371994; 143 pp
MSC: Primary 60; Secondary 90

This book analyzes several types of queueing 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 queueing 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 queueing theory and stochastic processes.

Readership

Researchers working in the theory and applications of queueing theory and stochastic processes.

  • Chapters
  • Introduction
  • Chapter I. Processes with reflection
  • Chapter II. Multiphase systems
  • Chapter III. Limit theorems for queue length and departure times processes
  • The authors have done an excellent work to unify several approximation techniques. This is a high quality contribution to the scope, theory and methodology of multiphase queueing systems in terms of its lucid presentation, insights and directions. Researchers in this field will find this outstanding monograph. very useful.

    Zentralblatt MATH
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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