Introduction to Queueing Theory


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Table of Contents

Introduction to Queueing Theory

Overview

Queueing Models: What You will learn?

Basic Components of a Queue

Kendall Notation A/S/m/B/K/SD

Arrival Process

Service Time Distribution

Service Disciplines

Common Distributions

Example M/M/3/20/1500/FCFS

Group Arrivals/Service

Key Variables

Rules for All Queues

Little's Law

Proof of Little's Law

Application of Little's Law

Stochastic Processes

Types of Stochastic Processes

Discrete/Continuous State Processes

Markov Processes

Birth-Death Processes

Poisson Processes

3.If the arrivals to a single server with exponential service time are Poisson with mean rate l, the departures are also Poisson with the same rate l provided l < m.

Relationship Among Stochastic Processes

Summary

Home Page: http://www.cse.wustl.edu/~jain/

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