Operations Research


Prof. Kusumdeep

IIT Roorkee

*Additional GST and optional Exam fee are applicable. 

SKU: IIT Roorkee Category:



Optimization is the most important sub area of the discipline Operations Research. Optimization problems arise in all walks of human activity- particularly in engineering, business, finance and economics. The simplest optimization problems are linear in nature which may be subject to a set of linear constraints. This course will equip the student with the expertise to mathematically model real life optimization problems as Linear Programming (Optimization) Problems and subsequently educate the student to solve these models with the help of the available methods.


Any student who wants to learn the basic concepts of Operations Research


  All industries who have to minimize cost of production or maximum output


Dr. Kusum Deep, is a full Professor, with the Department of Mathematics, Indian Institute of Technology Roorkee, India. She is Gold Medalist, International and national scholarship holder and has many awards , including best paper awards, to her credit. With a vast experience in the teaching she has authored a text book on Optimization Techniques. In research she is an Internationally renowned personality having supervised 18 PhDs and published over 110 research papers in good quality journals and equal number of papers published in proceedings of International Conferences. She is a Senior Member of Operations Research Society of India, IEEE, Computer Society of India, Indian Mathematical Society and Indian Society of Industrial Mathematics. She is on the Expert Panel of the Department of Science and Technology, Govt. of India. She is the Executive Editor of International Journal of Swarm Intelligence, Inderscience. She is the Founder President of Soft Computing Research Society, India and the secretary of Forum of Interdisciplinary Mathematics. She has a number of research projects and consultancy projects. She has travelled widely including Australia, United Kingdom, Russia, Korea, Iraq, Singapore, The Netherlands and France.Her areas of specialization are nature inspired optimization techniques and their applications to engineering, science, finance and industry. Her contribution is noteworthy in Genetic Algorithms, Memetic Algorithms, Particle Swarm Optimization, Grey Wolf Optimization, Artificial Bee Colony, Gravitational Search Algorithm, Ant Lion Algorithm, Biogeographical Based Optimization, Glowworm Optimization, Harmony Search Algorithm, and their applications to solve real life problems.

Additional information



Total hours


Certification Process

1. Join the course
Learners may pay the applicable fees and enrol to a course on offer in the portal and get access to all of its contents including assignments. Validity of enrolment, which includes access to the videos and other learning material and attempting the assignments, will be mentioned on the course. Learner has to complete the assignments and get the minimum required marks to be eligible for the certification exam within this period.

COURSE ENROLMENT FEE: The Fee for Enrolment is Rs. 2000 + GST

2. Watch Videos+Submit Assignments
After enrolling, learners can watch lectures and learn and follow it up with attempting/answering the assignments given.

3. Get qualified to register for exams
A learner can earn a certificate in the self paced course only by appearing for the online remote proctored exam and to register for this, the learner should get minimum required marks in the assignments as given below:

Assignment score = Score more than 50% in at least 6/8 assignments.
Exam score = 50% of the proctored certification exam score out of 100
Only the e-certificate will be made available. Hard copies will not be dispatched.”

4. Register for exams
The certification exam is conducted online with remote proctoring. Once a learner has become eligible to register for the certification exam, they can choose a slot convenient to them from what is available and pay the exam fee. Schedule of available slot dates/timings for these remote-proctored online examinations will be published and made available to the learners.

EXAM FEE: The remote proctoring exam is optional for a fee of Rs.1500 + GST. An additional fee of Rs.1500 will apply for a non-standard time slot.

5. Results and Certification
After the exam, based on the certification criteria of the course, results will be declared and learners will be notified of the same. A link to download the e-certificate will be shared with learners who pass the certification exam.


Course Details

Week 1: Introduction to OR Models, More OR Models, Graphical Method for LPP, Convex sets, Simplex Method
Week 2: Big M Method, Two Phase, Multiple solutions of LPP, Unbounded solution of LPP, Infeasible solution of LPP
Week 3: Revised Simplex Method, Case studies and Exercises-I, Case studies and Exercises-II, Case studies and Exercises – III, Primal Dual Construction
Week 4: Weak Duality Theorem, More Duality Theorems, Primal-Dual relationship of solutions, Dual Simplex Method, Sensitivity Analysis-I
Week 5: Sensitivity Analysis-II, Case studies and Exercises – I, Case studies and Exercises – II, Integer Programming Goal Programming
Week 6: Multi-Objective Programming, Dynamic Programming, Transportation Problem, Assignment Problem, Case studies and,Exercises
Week 7: Processing n Jobs on Two Machines, Processing n Jobs through Three Machines, Processing two jobs through m machines, Processing n jobs through m machines, Case studies and Exercises
Week 8: Two Person Zero-Sum Game, Theorems of Game Theory, Solution of Mixed Strategy Games, Linear Programming method for solving games, Case studies and Exercises

Books and References

1. Mohan, C. and Deep, Kusum: “Optimization Techniques”, New Age, 2009.
2. Mittal, K. V. and Mohan, C. “Optimization Methods in Operations Research and Systems Analysis”, New Age, 2003.
3. Taha, H.A. : “Operations Research – An Introduction”, Prentice Hall, (7th Edition), 2002.
4. Ravindran, A. , Phillips, D. T and Solberg, J. J. “Operations Research: Principles and Practice”, John Willey and Sons, 2nd Edition, 2009.


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