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.
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.
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