# Basic Queueing Theory

@inproceedings{Sztrik2016BasicQT, title={Basic Queueing Theory}, author={J{\'a}nos Sztrik}, year={2016} }

Queueing Theory is one of the most commonly used mathematical tool for the performance evaluation of systems. The aim of the book is to present the basic methods, approaches in a Markovian level for the analysis of not too complicated systems. The main purpose is to understand how models could be constructed and how to analyze them. It is intended not only for students of computer science, engineering, operation research, mathematics but also those who study at business, management and planning… Expand

#### 55 Citations

A Survey on Queueing Systems with Mathematical Models and Applications

- Computer Science
- 2017

The finite capacity queueing models in which limited number of customers are served by a single or multiple number of servers and the batchQueueing models where arrival or service or both occur in a bulk are studied. Expand

M/G/n/0 Erlang queueing system with heterogeneous servers and non-homogeneous customers

- Computer Science
- 2018

A multi-server queueing system with heterogeneous servers, unlimited memory space, and non-homogeneous customers with stationary total volume distribution function determined in the term of Laplace–Stieltjes transform is investigated. Expand

Queueing theory based model and network analysis for predicting the transmission and control of ebola virus disease

- Computer Science
- 2018

Result of the application of queueing theory yielded that the developed model is a reasonable approximation, showing when Ebola Virus is controlled, andFindings indicate that the spread of EVD follows an irregular and random pattern. Expand

M/G/n/(0, V) Erlang queueing system with non-homogeneous customers, non-identical servers and limited memory space

- Mathematics
- 2019

In the present paper, we investigate a multi-server Erlang queueing system with heterogeneous servers, non-homogeneous customers and limited memory space. The arriving customers appear according to a… Expand

Network loading model : a probabilistic , analytical , scalable and traffic-theoretic approach

- 2018

We formulate a traffic theoretic and probabilistic analytical network loading model. The proposed model extends past work that is based on a stochastic formulation of the link transmission model,… Expand

Hospital capacity management based on the queueing theory

- Economics
- 2018

Purpose This paper focuses on the contributions of Queueing Theory to hospital capacity management to improve organizational performance and deal with increased demand in the healthcare sector.… Expand

Performance analysis of a congested and uncongested communication network

- Computer Science
- 2017 IEEE International Conference on Electro Information Technology (EIT)
- 2017

The performance of the uncongested and congested communication networks was measured in terms of packet drop rate, average end-to-end delay, throughput, network utilization, and network cost using the OMNET++ simulator. Expand

Multi-Armed Bandit for Edge Computing in Dynamic Networks with Uncertainty

- Computer Science
- 2020 IEEE 21st International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
- 2020

This work proposes a policy to solve the formulated bandit problem, where each arm is associated with a reward and cost, with time-variant statistical characteristics, and demonstrates the superiority of the proposed method compared to a number of existing solutions. Expand

Epistemic Uncertainty Propagation in Power Models

- Computer Science
- 2018

Investigating how epistemic (parametric) uncertainty affects a power model makes it possible to consider loads with a probability density while investigating the battery depletion time or the amount of energy required for a given task. Expand

Clustered Queuing Model for Task Scheduling in Cloud Environment

- Computer Science
- 2018

A novel queue discipline based on k-means clustering called clustered queue discipline (CQD) is proposed to tackle optimal task scheduling problem for heterogeneous multi-core virtual machines (VMs) in cloud environment and shows that CQD performs better than FIFO and priority queue models under high demand for resource. Expand

#### References

SHOWING 1-10 OF 121 REFERENCES

Probability, stochastic processes, and queueing theory - the mathematics of computer performance modeling

- Computer Science
- 1995

This textbook provides a comprehensive introduction to probability and stochastic processes, and shows how these subjects may be applied in computer performance modelling. The author's aim is to… Expand

An introduction to queueing theory and matrix-analytic methods

- Computer Science
- 2005

The textbook contains the records of a two-semester course on queueing theory, including an introduction to matrix-analytic methods, and aims to present material that is close enough to concrete queueing models and their applications, while providing a sound mathematical foundation for their analysis. Expand

Fundamentals of queueing theory

- Computer Science, Mathematics
- 1974

The Fourth Edition of Fundamentals of Queueing Theory, Fourth Edition takes a numerical approach to understanding and making probable estimations relating to queues, with a comprehensive outline of simple and more advanced queueing models. Expand

Queueing theory for telecommunications

- Computer Science
- Addison-Wesley series in telecommunications
- 1992

Queueing theory applications can be discovered in many walks of life including; transportation, manufacturing, telecommunications, computer systems and more. However, the most prevalent applications… Expand

Performance analysis of communications networks and systems

- Computer Science
- 2006

This rigorous and self-contained book describes mathematical and, in particular, stochastic methods to assess the performance of networked systems and the recently obtained insights that many very different large complex networks evolve and behave according to more general common scaling laws. Expand

An Introduction to Queueing Systems

- Computer Science
- Springer US
- 2002

The purpose of this book is to support a course on queueing systems at the senior undergraduate or graduate level, which would provide the theoretical background on which a subsequent course on the performance modeHing and analysis of computer networks may be based. Expand

Basic Probability Theory with Applications

- Computer Science
- 2009

This book presents elementary probability theory with interesting and well-chosen applications that illustrate the theory and over 400 exercises reinforce the material and provide students with ample practice. Expand

Frontiers in Queueing: Models and Applications in Science and Engineering

- Computer Science
- 1997

Progress of Classical Queueing Models A Personal View of Queueeing Theory and Applied Techniques and Statistical Inference in Queeing Models Computational Methods in Queueed, H. Kulkarni and H.G. Kulparni. Expand

Performance And Reliability Analysis Of Computer Systems (an Example-based Approach Using The Sharpe Software

- Computer Science
- 1997

The SHARPE (Symbolic Hierarchical Automated Reliability and Performance Evaluator) package is the `toolchest' that allows the authors to specify stochastic models easily and solve them quickly, adopting model hierarchies and very efficient solution techniques. Expand

Stochastic modelling and analysis: a computational approach

- Computer Science
- 1986

This book uses realistic examples to explore a wide variety of applications, such as inventory and production control, reliability, maintenance, queueing computer and communication systems, and will be of considerable interest to practitioners and researchers in operations research, statistics, computer science and engineering. Expand