Queueing Theory 1


Advanced Trends


SCIENCES – Mathematics

Queueing Theory 1

Edited by

Vladimir Anisimov, Amgen Inc., United Kingdom
Nikolaos Limnios, University of Technology of Compiègne - Sorbonne University Group, France


ISBN : 9781789450019

Publication Date : April 2021

Hardcover 330 pp

165.00 USD

Co-publisher

Description


The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks.

This first volume includes ten chapters written by experts well-known in their areas. The book studies the analysis of queues with interdependent arrival and service times, characteristics of fluid queues, modifications of retrial queueing systems and finite-source retrial queues with random breakdowns, repairs and customer’s collisions.

Some recent tendencies in the asymptotic analysis include the average and diffusion approximation of Markov queueing systems and networks, the diffusion and Gaussian limits of multi-channel queueing networks with rather general input flow, and the analysis of two-time-scale non-homogenous Markov chains using the large deviations principle.

The book also analyzes transient behavior of infinite-server queueing models with a mixed arrival process, the strong stability of queueing systems and networks, and applications of fast simulation methods for solving high-dimension combinatorial problems.

Contents


1. Discrete Time Single-server Queues with Interdependent Interarrival and Service Times, Attahiru Sule Alfa.
2. Busy Period, Congestion Analysis and Loss Probability in Fluid Queues, Fabrice Guillemin, Marie-Ange Remiche and Bruno Sericola.
3. Diffusion Approximation of Queueing Systems and Networks, Dimitri Koroliouk and Vladimir S. Koroliuk.
4. First-come First-served Retrial Queueing System by Laszlo Lakatos and its Modifications, Igor Nikolaevich Kovalenko†.
5. Parameter Mixing in Infinite-server Queues, Lucas Van Kreveld and Onno Boxma.
6. Application of Fast Simulation Methods of Queueing Theory for Solving Some High-dimension Combinatorial Problems, Igor Kuznetsov and Nickolay Kuznetsov.
7. Diffusion and Gaussian Limits for Multichannel Queueing Networks, Eugene Lebedev and Hanna Livinska.
8. Recent Results in Finite-source Retrial Queues with Collisions, Anatoly Nazarov, János Sztrik and Anna Kvach.
9. Strong Stability of Queueing Systems and Networks: a Survey and Perspectives, Boualem Rabta, Ouiza Lekadir and Djamil Aïssani.
10. Time-varying Queues: a Two-time-scale Approach, George Yin, Hanqin Zhang and Qing Zhang.

About the authors


Vladimir Anisimov is Full Professor in Applied Statistics. He works in the Centre for Design & Analysis at Amgen Inc. in London, UK. His research interests include probability models and stochastic processes, clinical trials modelling, applied statistics, queueing models and asymptotic techniques.

Nikolaos Limnios is Full Professor in Applied Mathematics at the University of Technology of Compiègne, part of the Sorbonne University Group, in France. His research interests include stochastic processes and statistics, Markov and semi-Markov processes, random evolutions with applications in reliability, queueing systems, earthquakes and biology.