# Queuing Theory

## from Markov Chains to Multi-Server Systems

Situations where resources are shared among users appear in a wide variety of domains, from lines at stores and toll booths to queues in telecommunication networks. The management of these shared resources can have direct consequences on users, whether it be waiting times or blocking probabilities.

In this course, you'll learn how to describe a queuing system statistically, how to model the random evolution of queue lengths over time and calculate key performance indicators, such as an average delay or a loss probability.

This course is aimed at engineers, students and teachers interested in network planning.

Practical coursework will be carried out using ipython notebooks on a Jupyterhub server which you will be given access to.

Student testimonial
"Great MOOC ! The videos, which are relatively short, provide a good recap on Markov chains and how they apply to queues. The quizzes work well to check if you've understood." Loïc, beta-tester

"The best MOOC on edX! I'm finishing week 2 and I've never seen that much care put in a course lab! And I love these little gotchas you put into quizzes here and there! Thank you!" rka444, learner from Session 1, February - March 2018

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## &

Rating 4.7★ based on 13 ratings 5 weeks 3 - 4 hours per week Oct 15 (37 weeks ago) \$49 IMT, IMTx via edX Sandrine Vaton, Isabel Amigo, Hind Castel, Patrick Maillé, Laurent Decreusefond, Michel Marot, Thierry Chonavel On all desktop and mobile devices English Programming Data Science Mathematics Computer Science Data Analysis & Statistics Math

## What people are saying

According to other learners, here's what you need to know

queueing theory in 4 reviews

I thought some of the assignments could have been more challenging, with more use made of simulation, but overall it provided an excellent introduction to queueing theory.

James A very interesting and well exposed introduction to queueing theory.

m. harchol balter in one review

The course motivated me to start working through M. Harchol Balter's book, "Performance Modelling and Design of Computer Systems: Queueing Theory In Action".

very nicely packaged in one review

Very nicely packaged short course with some mildly challenging exercises on a topic I've found difficult to learn from books.

early 2018 run in one review

This opinion is based on the early 2018 run of the course.

intro followed by in one review

This course is structured so as to provide a theoretical intro followed by a practical section.

my primary interest in one review

The topics are extremely interesting with applications in Queuing Delay analysis in computer networks, which is my primary interest.

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