Big Queues

Big Queues
Author: Ayalvadi J. Ganesh
Publisher: Springer Science & Business Media
Total Pages: 276
Release: 2004
Genre: Large deviations
ISBN: 9783540209126

Analysis of Queues

Analysis of Queues
Author: Natarajan Gautam
Publisher: CRC Press
Total Pages: 804
Release: 2012-04-26
Genre: Business & Economics
ISBN: 1439806586

Written with students and professors in mind, Analysis of Queues: Methods and Applications combines coverage of classical queueing theory with recent advances in studying stochastic networks. Exploring a broad range of applications, the book contains plenty of solved problems, exercises, case studies, paradoxes, and numerical examples. In addition to the standard single-station and single class discrete queues, the book discusses models for multi-class queues and queueing networks as well as methods based on fluid scaling, stochastic fluid flows, continuous parameter Markov processes, and quasi-birth-and-death processes, to name a few. It describes a variety of applications including computer-communication networks, information systems, production operations, transportation, and service systems such as healthcare, call centers and restaurants.

Queues

Queues
Author: Moshe Haviv
Publisher: Springer Science & Business Media
Total Pages: 233
Release: 2013-05-20
Genre: Business & Economics
ISBN: 1461467659

Queueing theory (the mathematical theory of waiting lines in all its configurations) continues to be a standard major area of operations research on the stochastic side. Therefore, universities with an active program in operations research sometimes will have an entire course devoted mainly or entirely to queueing theory, and the course is also taught in computer science, electrical engineering, mathematics, and industrial engineering programs. The basic course in queueing theory is often taught at first year graduate level, though can be taught at senior level undergraduate as well. This text evolved from the author’s preferred syllabus for teaching the course, presenting the material in a more logical order than other texts and so being more effective in teaching the basics of queueing theory. The first three chapters focus on the needed preliminaries, including exposition distributions, Poisson processes and generating functions, renewal theory, and Markov chains, Then, rather than switching to first-come first-served memoryless queues here as most texts do, Haviv discusses the M/G/1 model instead of the M/M/1, and then covers priority queues. Later chapters cover the G/M/1 model, thirteen examples of continuous-time Markov processes, open networks of memoryless queues and closed networks, queueing regimes with insensitive parameters, and then concludes with two-dimensional queueing models which are quasi birth and death processes. Each chapter ends with exercises.

Applied Discrete-Time Queues

Applied Discrete-Time Queues
Author: Attahiru Alfa
Publisher: Springer
Total Pages: 400
Release: 2015-12-26
Genre: Technology & Engineering
ISBN: 1493934201

This book introduces the theoretical fundamentals for modeling queues in discrete-time, and the basic procedures for developing queuing models in discrete-time. There is a focus on applications in modern telecommunication systems. It presents how most queueing models in discrete-time can be set up as discrete-time Markov chains. Techniques such as matrix-analytic methods (MAM) that can used to analyze the resulting Markov chains are included. This book covers single node systems, tandem system and queueing networks. It shows how queues with time-varying parameters can be analyzed, and illustrates numerical issues associated with computations for the discrete-time queueing systems. Optimal control of queues is also covered. Applied Discrete-Time Queues targets researchers, advanced-level students and analysts in the field of telecommunication networks. It is suitable as a reference book and can also be used as a secondary text book in computer engineering and computer science. Examples and exercises are included.

The Queue

The Queue
Author: Vladimir Sorokin
Publisher:
Total Pages: 216
Release: 1988
Genre: Russian fiction
ISBN:

"Vladimir Sorokin’s first published novel, The Queue, is a sly comedy about the late Soviet “years of stagnation.” Thousands of citizens are in line for . . . nobody knows quite what, but the rumors are flying. Leather or suede? Jackets, jeans? Turkish, Swedish, maybe even American? It doesn’t matter–if anything is on sale, you better line up to buy it. Sorokin’s tour de force of ventriloquism and formal daring tells the whole story in snatches of unattributed dialogue, adding up to nothing less than the real voice of the people, overheard on the street as they joke and curse, fall in and out of love, slurp down ice cream or vodka, fill out crossword puzzles, even go to sleep and line up again in the morning as the queue drags on."--Amazon.com.

Job Queues, Gender Queues

Job Queues, Gender Queues
Author: Barbara F. Reskin
Publisher: Temple University Press
Total Pages: 404
Release: 2009
Genre: Business & Economics
ISBN: 9781439901595

A controversial interpretation of women's dramatic inroads into several male occupations.

Retrial Queues

Retrial Queues
Author: G Falin
Publisher: CRC Press
Total Pages: 344
Release: 1997-04-01
Genre: Mathematics
ISBN: 9780412785504

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.

A Tutorial on Queuing and Trunking with Applications to Communications

A Tutorial on Queuing and Trunking with Applications to Communications
Author: William Tranter
Publisher: Springer Nature
Total Pages: 92
Release: 2022-05-31
Genre: Technology & Engineering
ISBN: 3031016793

The motivation for developing this synthesis lecture was to provide a tutorial on queuing and trunking, with extensions to networks of queues, suitable for supplementing courses in communications, stochastic processes, and networking. An essential component of this lecture is MATLAB-based demonstrations and exercises, which can be easily modified to enable the student to observe and evaluate the impact of changing parameters, arrival and departure statistics, queuing disciplines, the number of servers, and other important aspects of the underlying system model. Much of the work in this lecture is based on Poisson statistics, since Poisson models are useful due to the fact that Poisson models are analytically tractable and provide a useful approximation for many applications. We recognize that the validity of Poisson statistics is questionable for a number of networking applications and therefore we briefly discuss self-similar models and the Hurst parameter, long-term dependent models, the Pareto distribution, and other related topics. Appropriate references are given for continued study on these topics. The initial chapters of this book consider individual queues in isolation. The systems studied consist of an arrival process, a single queue with a particular queuing discipline, and one or more servers. While this allows us to study the basic concepts of queuing and trunking, modern data networks consist of many queues that interact in complex ways. While many of these interactions defy analysis, the final chapter introduces a model of a network of queues in which, after being served in one queue, customers may join another queue. The key result for this model is known as Jackson's Theorem. Finally, we state the BCMP Theorem, which can be viewed as a further extension of Jackson's Theorem and present Kleinrock's formula, which can be viewed as the network version of Little's Theorem. Table of Contents: Introduction / Poisson, Erlang, and Pareto Distributions / A Brief Introduction to Queueing Theory / Blocking and Delay / Networks of Queues

Queuing Theory and Telecommunications

Queuing Theory and Telecommunications
Author: Giovanni Giambene
Publisher: Springer Nature
Total Pages: 424
Release: 2021-10-29
Genre: Technology & Engineering
ISBN: 3030759733

This thoroughly revised textbook provides a description of current networking technologies and protocols as well as important new tools for network performance analysis based on queuing theory. The third edition adds topics such as network virtualization and new related architectures, novel satellite systems (such as Space X, OneWeb), jitter and its impact on streaming services, packet level FEC techniques and network coding, new Markovian models, and advanced details on M/G/1 queuing models. The author also adds new selected exercises throughout the chapters and a new version of the slides and the solution manual. The book maintains its organization with networking technologies and protocols in Part I and then theory and exercises with applications to the different technologies and protocols in Part II. This book is intended as a textbook for master level courses in networking and telecommunications sectors.

Stochastic Networks and Queues

Stochastic Networks and Queues
Author: Philippe Robert
Publisher: Springer Science & Business Media
Total Pages: 406
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662130521

Queues and stochastic networks are analyzed in this book with purely probabilistic methods. The purpose of these lectures is to show that general results from Markov processes, martingales or ergodic theory can be used directly to study the corresponding stochastic processes. Recent developments have shown that, instead of having ad-hoc methods, a better understanding of fundamental results on stochastic processes is crucial to study the complex behavior of stochastic networks. In this book, various aspects of these stochastic models are investigated in depth in an elementary way: Existence of equilibrium, characterization of stationary regimes, transient behaviors (rare events, hitting times) and critical regimes, etc. A simple presentation of stationary point processes and Palm measures is given. Scaling methods and functional limit theorems are a major theme of this book. In particular, a complete chapter is devoted to fluid limits of Markov processes.