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Course Detail

Course Name Operation Research and Optimization
Course Code 25MAT202
Program B. Sc. in Physics, Mathematics & Computer Science (with Minor in Artificial Intelligence and Data Science)
Semester 3
Credits 3
Campus Mysuru

Syllabus

Unit I

Linear Programming Problems:

Introduction to Operations Research, necessity of Operations Research in modern management- models in Operations Research, Introduction to Linear Programming Problems, Formulation of Linear Programming Problems, solutions to Linear Programming Problems based on graphical method, solutions based on simplex algorithm.

Unit II

Transportation Models: Introduction to transportation – mathematical formulation of transportation problem, methods for initial basic feasible solution methods, MODI method for optimal.

Unit III

Assignment Models: Introduction to assignment problem, mathematical formulation of assignment problem.

Unit IV

Queuing Theory: Introduction to queuing theory, characteristics of queuing theory, single channel queuing models with finite and infinite size, solution to single channel queuing models.

Unit V

CPM and PERT: Network logic, concepts and definition, network scheduling by critical path method, program evaluation and review technique.

Objectives and Outcomes

Course Objectives:

  • Understand the concept of linear programming and its problems
  • Apply the knowledge of networks

Course Outcomes

COs   Description
CO1 Demonstrate the technique in which a linear function is maximized or minimized when subjected to various constraints.
CO2 Analyze transportation systems and find the most efficient route for resource allocation.
CO3 Assign a specific (person or worker) to a specific (task or job) assuming that there are the number of persons equal to the number of tasks available.
CO4 Determine and streamline staffing needs, scheduling, and inventory in order to improve overall customer service.
CO5 Explain project management technique using CPM and PERT.

CO-PO Mapping

PO/PSO  

PO1

 

PO2

 

PO3

 

PO4

 

PO5

 

PO6

 

PO7

 

PO8

 

PO9

 

PO10

 

PSO1

 

PSO2

 

PSO3

 

PSO4

CO
CO1 3 2 3 3 2 2 2
CO2 2 2 3 2 2 2 3
CO3 2 3 3 2 3 2 2
CO4 3 3 3 3 2 3 3
CO5 3 3 3 2 3 3 2

Text Books / References

Text books and References:

1) Hamadi A.  Taha, “Operations Research – An Introduction”, Seventh Edition, Pearson Education, 2014.

2) KantiSwarup, P.K. Gupta and Man Mohan, “Operations Research”,  Ninth Edition, Sultan Chand and Sons, 2001.

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