Introduction to Queueing Theory Course | NPTEL IIT Guwahati | Prof. N. Selvaraju
Course Details
| Exam Registration | 77 |
|---|---|
| Course Status | Ongoing |
| Course Type | Elective |
| Language | English |
| Duration | 12 weeks |
| Categories | Mathematics |
| Credit Points | 3 |
| Level | Undergraduate/Postgraduate |
| Start Date | 19 Jan 2026 |
| End Date | 10 Apr 2026 |
| Enrollment Ends | 02 Feb 2026 |
| Exam Registration Ends | 20 Feb 2026 |
| Exam Date | 26 Apr 2026 IST |
| NCrF Level | 4.5 — 8.0 |
Introduction to Queueing Theory: A Foundational Course for Modern System Design
Have you ever been stuck in a traffic jam, waited on hold for customer service, or wondered why your computer seems slow when processing multiple tasks? These everyday frustrations are all manifestations of queues—waiting lines that form when demand for a service exceeds its immediate capacity. Understanding and mathematically modeling these systems is the core of Queueing Theory, a vital branch of applied probability with profound implications for technology, industry, and management.
We are excited to introduce a comprehensive, free online course that serves as your gateway to this fascinating field: Introduction to Queueing Theory, offered by the prestigious National Programme on Technology Enhanced Learning (NPTEL) and taught by Prof. N. Selvaraju from the Indian Institute of Technology Guwahati.
Meet Your Instructor: Prof. N. Selvaraju
Learning complex mathematical concepts requires expert guidance, and this course is led by one of the best. Prof. N. Selvaraju brings over eighteen years of dedicated teaching and research experience in applied probability and stochastic modelling. His expertise spans queueing theory and financial mathematics, and he has successfully guided numerous B.Tech. and M.Sc. students at IIT Guwahati. His clear pedagogical approach makes advanced topics accessible and engaging.
Who Should Enroll in This Queueing Theory Course?
This 12-week course is meticulously designed for students and professionals looking to build a strong theoretical foundation. The intended audience includes:
- Advanced undergraduate and postgraduate students in Mathematics, Statistics, and Computer Science & Engineering.
- Students from Communications Engineering, Industrial Engineering, Operations Research, and Management Science.
- Professionals in software, manufacturing, telecom, and logistics industries who design, analyze, or optimize systems and networks.
Course Prerequisites
To get the most out of this course, you should have a solid background in:
- Calculus-based Probability Theory.
- An introduction to Stochastic Processes.
NPTEL offers excellent prerequisite courses that you can take for free:
- Introduction to Probability Theory and Stochastic Processes
- Advanced Probability Theory
What Will You Learn? A 12-Week Journey
The course is structured to take you from fundamental concepts to advanced models. Here’s a detailed week-by-week breakdown:
| Week | Topics Covered |
|---|---|
| Week 1 | Introduction to queues, performance measures, Little’s law, transforms and generating functions. |
| Week 2 | Stochastic processes overview, discrete-time Markov chains, classification and long-term behaviour. |
| Week 3 | Continuous-time Markov chains, birth-death processes, Poisson process, exponential distribution. |
| Week 4 | Birth-death queueing systems: Single-server and multi-server queues, finite-capacity models. |
| Week 5 | Advanced birth-death systems: Loss systems, infinite-server queues, finite-source queues, queues with impatience. |
| Week 6 | Non-birth-death Markovian systems: Bulk input/service queues, Erlangian models. |
| Week 7 | Specialized models: Priority queues, retrial queues, discrete-time queues. |
| Week 8 | Queueing networks: Series systems, open Jackson networks. |
| Week 9 | Queueing networks: Closed Jackson networks, cyclic queues, network extensions. |
| Week 10 | Renewal and semi-Markov processes; introduction to semi-Markovian queues. |
| Week 11 | Semi-Markovian queues: General service and general input models for single and multi-server systems. |
| Week 12 | General queueing models and queues with vacations. |
Why is Queueing Theory Important for Industry?
The principles taught in this course are not just academic; they are critical tools for real-world efficiency. Industry support for this knowledge is strong, particularly in:
- Software Companies: For designing server architectures, load balancers, and network protocols.
- Manufacturing & Supply Chain: For optimizing production lines, inventory management, and logistics.
- Telecommunications: For modeling call centers, data packet routing, and bandwidth allocation.
- Healthcare & Service Operations: For scheduling resources, managing patient flow, and reducing wait times.
Mastering queueing theory enables you to move from intuitive guesses to data-driven, mathematical predictions about system performance, leading to better design, cost savings, and improved user experiences.
Recommended Textbooks for Deep Dive Learning
To complement the video lectures, Prof. Selvaraju recommends several authoritative texts, suitable for both beginners and those seeking deeper knowledge:
- Shortle, Thompson, Gross & Harris: Fundamentals of Queueing Theory (5th Ed., Wiley, 2018)
- J. Medhi: Stochastic Models in Queueing Theory (2nd Ed., Academic Press, 2003)
- L. Kleinrock: Queueing Systems, Vol. I: Theory (Wiley, 1975) – A classic in the field.
- S.K. Bose: An Introduction to Queueing Systems (Springer, 2002)
- U.N. Bhat: An Introduction to Queueing Theory (Springer, 2015)
- R.B. Cooper: Introduction to Queueing Theory (2nd Ed., North Holland, 1981)
Enroll Today and Master the Science of Waiting
Whether you are a student aiming to excel in academia, a researcher building sophisticated models, or an engineer tasked with designing robust systems, this Introduction to Queueing Theory course provides an unparalleled foundation. With expert instruction from an IIT professor, a logical progression from basics to networks, and direct relevance to cutting-edge industries, this NPTEL offering is an invaluable resource.
Take the first step towards understanding the hidden mathematics behind everyday waits and complex systems. Enroll in the course today and unlock the power to analyze, optimize, and design the world more efficiently.
Enroll Now →