Queuing Theory Course

Course Description

Welcome to the exciting world of Queuing Theory! This intermediate-level course delves into the fascinating realm of resource management in various domains, from retail stores to telecommunication networks. As an engineer, student, or teacher interested in network planning, this course will equip you with the essential skills to analyze and optimize shared resource systems.

What Students Will Learn

In this comprehensive five-week program, you'll master the art of describing queuing systems statistically, modeling queue lengths over time, and calculating crucial performance indicators. You'll gain proficiency in characterizing queues based on probabilistic assumptions, understanding Markov chains, and designing queuing simulations using Python. By the end of the course, you'll be able to compute key metrics such as average delay, resource utilization rate, and loss probability in both single-server and multi-server systems.

Pre-requisites

• A solid foundation in basic statistical theory and probability
• Familiarity with Python 3 for lab work
• An intermediate level of mathematics knowledge

Course Content

• Introduction to queuing theory and basic concepts
• Analysis of no-loss queues (M/M/1 queue)
• Discrete time Markov chains
• Continuous time Markov chains
• Multiserver and finite capacity queues
• Dimensioning loss networks
• Practical applications using Python and Jupyter notebooks

Who This Course Is For

• Engineers seeking to optimize resource management systems
• Students pursuing advanced studies in mathematics, computer science, or telecommunications
• Teachers looking to expand their knowledge in network planning and queuing theory
• Professionals working in industries where resource allocation is critical

Real-World Applications

1. Optimize customer service systems in retail and hospitality industries
2. Improve traffic flow in transportation networks
3. Enhance telecommunications network performance
4. Streamline manufacturing processes and supply chains
5. Design more efficient healthcare systems
6. Develop better resource allocation strategies for cloud computing services

Syllabus

Each week includes:

• Five to six video lectures
• A quiz to test understanding of main concepts
• A lab using Python

Join us on this exciting journey into the world of Queuing Theory and unlock the power to optimize resource management across various industries!