Course11110712840 lectures
Operations Research - IITR
Prof. Kusumdeep · IIT Roorkee
About
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.
INTENDED AUDIENCE: Any student who wants to learn the basic concepts of Operations Research
INDUSTRY SUPPORT: All industries who have to minimize cost of production or maximum output
Lectures
Week 1
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
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Roorkee
- Department
- Mathematics
- Teacher
- Prof. Kusumdeep
- Level
- Undergraduate
- Language
- English
- Subjects
- Mathematics
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed