Mechanical Engineering Digital Class Room: February 2022

Friday, February 11, 2022

OPERATIONS RESEARCH

COURSE OBJECTIVE

Provide knowledge of optimization techniques and approaches. Formulate a real-world problem as a mathematical programming model. Enable the students to apply mathematical, computational, and communication skills needed for the practical utility of Operations Research. Knowledge to solve networking problems. Knowledge to solve various inventory problems. Gain knowledge on solving different waiting line models.

Registration Link

Course: This course is designed to provide knowledge and training in using optimization techniques under limited resources for engineering and business problems. The course will consist of 5 units each consisting of 5 videos. Each lecture consists of specific concepts relevant to engineering problems in all domains. An attempt to made to cover the topic by use of PowerPoint presentations with case studies. The online class activities with quizzes and hands-on assignments for increasing the student's curiosity and desire to know more about the subject and various operation research concepts. Upon completion of this course, The students can able to use the optimization techniques for using engineering and Business problems
Course Content:
Week 1: Linear Programming
Week 2: Transportation and Assignment Model
Week 3: Network Analysis
Week 4: Sequencing Problem and Assignment Model
Week 5: Queuing Theory

Assessment: Students have to register and write the CIA Exam conducted by me at any of the exam halls of KRCT.

LINEAR PROGRAMMING

1. Linear Programming Problem

2. Graphical method

3. Maximization with Simplex method

4. Minimization with Simplex method

5. The Two-phase method in artificial variable technique -

6. Big M method

TRANSPORTATION AND ASSIGNMENT MODEL

7. Transportation model with Northwest Corner Method

8. Transportation model with Least Cost Method -

9. Transportation model with Vogals Approximation Method

10. Unbalanced Transportation Model -

11. Assignment model

12. Hungarian Algorithm in Assignment Model -

13. Optimality Test in Transportation Model

14. Degeneracy in Transportation model -

NETWORK ANALYSIS

15. Basics of Network Analysis

16. PERT and CPM in Project Management -

17. Early start and Early finish & Late start and Late finish schedule

18. Least cost schedule -

19. Resource scheduling Problem -

20. Minimal spanning Tree

SEQUENCING PROBLEM

21. Johnson Algorithm for sequencing Problem 1

22. Johnson Algorithm 2

23. Johnson Algorithm 3

REPLACEMENT MODELS

24. Replacement Model 1

25. Replacement model 2

26. Replacement model 3

QUEUING THEORY

27. Queuing Theory Model 2

28. Queuing Theory Model 3

29. Queuing Theory Model 4

Operations Research Assessment

Operations Research course feed back

Thursday, February 10, 2022

Intelligent Optimization Techniques

Intelligent Optimization

Techniques

Course objective: The course aims at building capabilities in the students for analyzing different situations in the industrial/ business scenario involving limited resources and finding the optimal solution within constraints by using advanced optimization tools

1. Genetic Algorithm