Queueing Systems

Discusses a number of elementary queueing models. Attention is paid to methods for the analysis of these models, and also to applications of queueing models, restricted to models with one queue.

**Tag(s):**
Queueing Theory

**Publication date**: 26 Mar 2015

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
182 pages

**Views**: 23,981

**Type**: Lecture Notes

**Publisher**:
n/a

**License**:
n/a

**Post time**: 23 Nov 2006 08:45:22

Queueing Systems

Discusses a number of elementary queueing models. Attention is paid to methods for the analysis of these models, and also to applications of queueing models, restricted to models with one queue.

Book Excerpts:

This document has been used as lecture notes for the Queueing Theory course at Department of Mathematics and Computing Science, Eindhoven University of Technology.

This course discusses a number of elementary queueing models. Attention is paid to methods for the analysis of these models, and also to applications of queueing models. Important application areas of queueing models are production systems, transportation and stocking systems, communication systems and information processing systems. Queueing models are particularly useful for the design of these system in terms of layout, capacities and control.

In these lectures the attention is restricted to models with one queue. Situations with multiple queues are treated in the course "Networks of queues." More advanced techniques for the exact, approximative and numerical analysis of queueing models are the subject of the course "Algorithmic methods in queueing theory."

The organization is as follows. Chapter 2 first discusses a number of basic concepts and results from probability theory that will be used. The most simple interesting queueing model is treated in chapter 4, and its multi server version is treated in the next chapter. Models with more general service or interarrival time distributions are analysed in the chapters 6, 7 and 8. Some simple variations on these models are discussed in chapter 10. Chapter 9 is devoted to queueing models with priority rules. The last chapter discusses some insentive systems.

The text contains a lot of exercises and the reader is urged to try these exercises. This is really necessary to acquire skills to model and analyse new situations.

This document has been used as lecture notes for the Queueing Theory course at Department of Mathematics and Computing Science, Eindhoven University of Technology.

This course discusses a number of elementary queueing models. Attention is paid to methods for the analysis of these models, and also to applications of queueing models. Important application areas of queueing models are production systems, transportation and stocking systems, communication systems and information processing systems. Queueing models are particularly useful for the design of these system in terms of layout, capacities and control.

In these lectures the attention is restricted to models with one queue. Situations with multiple queues are treated in the course "Networks of queues." More advanced techniques for the exact, approximative and numerical analysis of queueing models are the subject of the course "Algorithmic methods in queueing theory."

The organization is as follows. Chapter 2 first discusses a number of basic concepts and results from probability theory that will be used. The most simple interesting queueing model is treated in chapter 4, and its multi server version is treated in the next chapter. Models with more general service or interarrival time distributions are analysed in the chapters 6, 7 and 8. Some simple variations on these models are discussed in chapter 10. Chapter 9 is devoted to queueing models with priority rules. The last chapter discusses some insentive systems.

The text contains a lot of exercises and the reader is urged to try these exercises. This is really necessary to acquire skills to model and analyse new situations.

Tweet

About The Author(s)

Ivo Adan worked as associate professor in the Department of Mathematics and Computer Science at Eindhoven University of Technology until 2010. Since 2011 he is a full professor in Manufacturing Networks in the Department of Mechanical Engineering. His current research interests are in the modeling and design of manufacturing systems, warehousing systems and transportation systems, and more specifically, in the analysis of multi-dimensional Markov processes and queueing models.

Jacques Resing is a professor in the Department of Mathematics and Computing Science at Eindhoven University of Technology. His research interests include queueing theory, polling systems, fluid flow models, performance analysis of communication systems, and performance analysis of production systems.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Microsoft .NET
Rexx
Perl
PHP
Python
R
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors