What Is Queuing Theory?

Queuing theory is the mathematical study of waiting lines or queues. This approach is applied to different types of problems, such as scheduling, resource allocation, and traffic flow. It is often applied in:

Operations research
Industrial engineering
Network design
Computer architecture

You can explore queuing theory by modeling, measuring, and analyzing the arrival times, wait times, and service times of queuing systems.

For details, see MATLAB^®, Statistics and Machine Learning Toolbox™ and SimEvents^®.

Examples and How To

M/M/1 Queuing Theory - Example
M/D/1 Queuing System - Example
G/G/1 Queuing System and Little's Law - Example
Generating Entities as a Markov-Modulated Poisson Process - Example
What Is Discrete-Event Simulation? | Understanding Discrete-Event Simulation, Part 1 (4:29) - Video
Why Use Discrete-Event Simulation? | Understanding Discrete-Event Simulation, Part 2 (3:54) - Video
Leveraging Stochastic Processes | Understanding Discrete-Event Simulation, Part 3 (3:53) - Video

Software Reference

SimEvents - Documentation
Basic Queues and Servers in SimEvents - Documentation
Modeling Queues and Servers in SimEvents - Documentation
Routing Techniques in SimEvents - Documentation
Statistics and Machine Learning Toolbox - Documentation
Resource Allocation Optimization with Mixed Integer Optimization - Documentation

SimEvents model of an M/M/1 single-server system

Model-Based Design for Embedded Control Systems

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