Retrial Queues: 1st Edition (Hardback) book cover

Retrial Queues

1st Edition

By G Falin, James G C Templeton

Chapman and Hall/CRC

320 pages

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Hardback: 9780412785504
pub: 1997-04-01
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Description

Based on the careful analysis of several hundred publications, this book uniformly describes basic methods of analysis and critical results of the theory of retrial queues.

Chapters discuss:

  • analysis of single-server retrial queues, including stationary and transient distribution of the number in the system, busy period, waiting time process, limit theorems, stochastic inequalities, traffic measurement

  • multiserver retrial queues - ergodicity, explicit formulas, algorithmic solutions, limit theorems, approximations

  • advanced single-server and multiserver retrial queues - models with priority subscribers, non-ersistent subscribers, finite source queues

    Lecturers, researchers, and students in probability, statistics, operations research, telecommunications, and computer systems modeling analysis will find Retrial Queues to be an invaluable resource.

  • Table of Contents

    The Main Single-Server Model

    Description of the Main Model of M/G/1 Type

    Joint Distribution of the Server State and the Queue Length in the Steady State

    The Embedded Markov Chain

    Limit Theorems for the Stationary Distribution of the Queue Length

    Stochastic Inequalities

    The Busy Period

    The Number of Customers in the System in the Nonstationary Regime

    The Waiting Time Process

    The Departure Process

    Estimation of Retrial Rate in the Case of Exponential Service

    The Main Multiserver Model

    Description of the Model

    Ergodicity

    Explicit Formulas for the Main Performance Characteristics

    Truncated Model

    Generalized Truncated Models

    Numerical Calculation of the Stationary Characteristics of the Main Model

    Limit Theorems

    Approximations

    Advanced Single-Server Models

    A Single-Server Batch Arrival Retrial Queue

    A Single-Server Model with Priority Subscribers

    A Single-Server Model with Impatient Subscribers

    A Single-Server Multiclass Retrial Queue

    Advanced Multiserver Models

    A Single-Server Model with Priority Subscribers

    A Single-Server Model with Impatient Subscribers

    A Multiserver Retrial Queue with A Finite Number of Sources of Primary Calls

    Bibliographical Remarks

    The Main Single-Server Model

    The Main Multichannel Model

    Advanced Single-Server Models

    Advanced Multiserver Models

    References

    Author Index

    Subject Index

    About the Series

    Chapman & Hall/CRC Monographs on Statistics and Applied Probability

    Learn more…

    Subject Categories

    BISAC Subject Codes/Headings:
    BUS049000
    BUSINESS & ECONOMICS / Operations Research
    MAT029000
    MATHEMATICS / Probability & Statistics / General
    MAT029010
    MATHEMATICS / Probability & Statistics / Bayesian Analysis