Operations Research (Theory)

Paper Code: 
ATG 416
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 operational research techniques in decision-making

COURSE OUTCOMES (COs):

Course

Learning outcome

 (at course level)

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

ATG 416

Operations Research

CO 1:Be able to understand the characteristics of different types of decision-making environments and the appropriate decision making approaches and tools to be used in each type.

CO 2:Understand the mathematical tools that are needed to solve optimization problems.

CO 3:Be able to build and solve Transportation Models and Assignment Models.

CO 4:Propose the best strategy using decision making methods under uncertainty and game theory.

CO 5:Be able to 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
Unit I: 
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
Unit II: 
Transportation:
  • Meaning
  • Definition
  • Solving the problem
  • Unbalanced problems
  • Prohibited route
  •  Maximization objective
  • Assignment:
  • Solving the problem
  •  Cases of unbalanced problems
  • Multiple optimum solutions
  • Maximization objective
  •  Prohibited Route

 

8.00
Unit III: 
PERT/CPM:
  • Network with one estimate of time
  • Networks with three estimates of time
  • Time-cost trade-off. Probability consideration under PERT
8.00
Unit IV: 
Game Theory:
  • Games of Pure strategy
  • Games of Mixed strategy
  • Law of Dominance
  • Sub Game
  • Queuing Theory:
  • Elements of Queuing theory
  • Single Channel Queuing Problem.
7.00
Unit V: 
Decision Theory:
  • Maximin, Minimax, and Maximax expected pay off and regret
  • Expected value of Perfect Information,
  • Decision Tree Analysis
  • Simulation- Methodology and Application of Simulation technique.
  • Monte Karlo Simulation Model- Concept and steps.
References: 
  • Operations Research-Mathur, Khandelwal Gupta,Gupta (Ajmera Book Company)
  • Operations Research-V.K Kapoor (Sultan Chand)
  • Quantitative Techniques- C.R Kothari(Vikas Publishing House Pvt Ltd)
  • Operation Research: Anand Sharma( Himalaya Publishing House)
  • Operations Research-Prof N.P.Agarwal ( Ramesh Book Depot)
  • Vohra N.D, Quantitative Techniques in Management, (Tata McGraw Hill New Delhi
  • Taha, Hamady A, Operations Research- An Introduction, Prentice Hall of India
  • Quantitative Methods- N.K Nag (Kalyani Publishers)
  • Qunatitative Techniques for Managerial Decsionos – U.K Srivastava, G.R Shenoy, S.C Sharma(New Age International)

 

Academic Year: 
2020-2021
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