Operations Research

Paper Code: 
MBB 226
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

Course Objectives: The objective of the paper is to

  1. Equip the student with basic quantitative tools required to perform the role as a manager
  2. Develop an understanding in students to evaluate the conditions and arrive at logical conclusions & inferences to the decisions.

Course Outcomes (COs):

Course

Course outcome (at course level)

Learning and teaching strategies

Assessment Strategies

Paper Code-

Paper Title

CLO 83.Develop linear programming (LP) models and perform sensitivity analysis

CLO 84.Propose the best strategy using decision making methods under uncertainty and game theory

CLO 85.Analyze the mathematical tools that are needed to solve optimization problems

CLO 86.Compare the characteristics of different types of decision-making environments

CLO 87.Apply the appropriate decision making approaches in a given problem.

CLO 88.Compare and analyze different approaches in a given problem

Approach in teaching:

Interactive Lectures, Group Discussion, Tutorials, Case Study

 

Learning activities for the students:

Self-learning assignments, presentations

Class test, Semester end examinations, Quiz, Assignments, Presentation

MBB 226

                                     

 

Operations Research

 

 

12.00

Operations Research- Meaning, Nature, Scope and Role of Operations Research, Scientific approach in decision-making, Techniques of OR, Limitations of OR

Linear Programming-Mathematical formulation of Linear Programming problems and their solution using Graphic approach. Simplex method.

 

12.00

Linear Programming- Special Cases- Unbounded solution, Multiple Solutions, Non-Feasible solutions, Degenerate solutions,  Primal and its dual. Introduction to Sensitivity Analysis

Transportation-General structure of transportation problem, methods of finding initial basic feasible solution (NWCM, LCM & VAM), test for optimality (MODI Method), Cases of unbalanced problems, Degeneracy, Multiple solutions and Prohibited Routes.

12.00

Assignment- Solving the problem. Cases of unbalanced problems, multiple optimum solutions, maximization objective and unacceptable assignments

Sequencing Problems- General Assumptions, Basic Terminology, Processing n-jobs through two machines, Processing n-jobs through three machines, Processing n-jobs through m- machines.

12.00

Decision Theory-Decision-Making under certainty, uncertainty and risk, Decision tree analysis , Queuing theory-Introduction, elementary queuing system, single channel queuing model  ( with Poisson arrivals and exponential service times.)

12.00

Theory of Games-Two persons Zero Sum games. Markov’s analysis-Introduction, application, state transition matrix, n steps transition probabilities, Markov Chain Algorithm. 

References: 

  • Shrivastava Shenoy Sharma, Quantitative Techniques in Management, New Age Publications
  • J. K. Sharma, Operations Research”, McMillan India
  • N. D. Vohra, Quantitative Techniques in Management”,  Tata McGraw Hill Publications
  • Anderson Williams ,Quantitative Methods for Business,  10th Edition Thopson
  • Tulisian, Quantitative Techniques Theory and Problems, Pearson Education.
  • S. D. Sharma, Operations Research, Kedar Nath and Ram Nath & Co. Ltd.

 

*Case studies related to entire topics are to be taught.

Academic Year: 
2021-2022
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