Models of Operations Research

Paper Code: 
ABF 401
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

The objective of this course is to acquaint the students with the use of operations research techniques in decision-making.

Course

Learning outcome

 (at course level)

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

ABF 401

Models of Operations Research

CO140:Discriminate the characteristics of different types of decision-making environments and the appropriate decision making approaches and tools to be used in each type.

CO141:Formulate the mathematical tools that are needed to solve optimization problems.

 

CO142:Students will design and solve transportation Models and assignment models.

 

CO143:Persuade the best strategy using decision making methods under uncertainty and game theory.

 

CO144:Design new simple models, like: CPM, PERT to improve decision –making and develop critical thinking and objective analysis of decision problems.

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, Team teaching

 

Learning activities for the students:

Self learning assignments, Effective questions, Seminar presentation, Giving tasks.

Class test, Semester end examinations, Quiz, Solving problems in tutorials, Assignments, Presentation, Individual and group projects

 

 

 

 

 

 

 

 

 

 

12.00

Operations Research: Basic Concepts and Definitions, merits and demerits, Techniques of operations research, role of operations research, application areas of operations research.

Linear Programming: Mathematical formulation of Linear Programming problems and their solution using Graphic approach and Simplex method, Duality. 

10.00

Transportation: Solving the problem. Testing the optimality using MODI method. Cases of unbalanced problems, Degeneracy, Maximization objective.

Assignment: Solving the problem, Cases of unbalanced problems, multiple optimum solutions, maximization objective.

8.00

PERT/CPM: Network with one estimate of time, Networks with three estimates of time, Time-cost trade-off, Probability consideration under PERT.

8.00

Game Theory: Games of Pure strategy, Games of Mixed strategy, Law of Dominance, Sub Game method.

Queuing Theory: Meaning, features, elements of queuing theory, queuing system, Single Channel Queuing Problem

7.00

Decision Theory: Maximin, Minimax, and Maximax expected pay off and regret, Expected value of Perfect Information.

Simulation- Meaning, Phases and Applications. Monte-Carlo Method – Concept & Steps.

Essential Readings: 
  1. Quantitative Methods- N.K Nag (Kalyani Publishers)
  2. Operational Research-Mathur, Khandelwal Gupta,Gupta (Ajmera Book Company)
  3. Operational Research-V.K Kapoor (Sultan Chand)

 

References: 
  1. Operational Research-Prof N.P.Agarwal (Ramesh Book Depot)
  2. Quantitative Techniques- C.R Kothari (Vikas Publishing House Pvt Ltd)
  3. Vohra N.D, Quantitative Techniques in Management, (Tata McGraw Hill New Delhi )
  4. Taha, Hamady A, Operational Research- An Introduction, Prentice Hall of India

 

Academic Year: