320 Pages
by
Chapman & Hall
320 Pages
by
Routledge
Also available as eBook on:
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:
Lecturers, researchers, and students in probability, statistics, operations research, telecommunications, and computer systems modeling analysis will find Retrial Queues to be an invaluable resource.
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
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
Biography
Falin\, G; Templeton\, James G C
