JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Course Objectives:

• Understand the problem, identifying decision variables, objective and constraints
• Formulation of Optimization Problem by constructing Objective Function and Constraints functions
• Learn to select appropriate Optimization Technique for the formulated Optimization Problem
• Understood the procedure involved in the selected Optimization Technique
• Solve the Optimization Model with the selected Optimization Technique

Course Outcomes

At the end of the course, student will be :

• Familiar with issues that would crop up in business
• Able to formulate Mathematical Model to resolve the issue
• Able to select technique for solving the formulated Mathematical Model
• Able to analyze the results obtained through the selected technique for implementation.

UNIT - I

Introduction and Linear Programming: Nature and Scope of O.R.–Analyzing and Defining the Problem, Developing A Model, Types of models, Typical Applications of Operations Research; Linear Programming: Graphical Method, Simplex Method; Solution methodology of Simplex algorithm, Artificial variables; Duality Principle, Definition of the Dual Problem, Primal - Dual Relationships.

UNIT - II

Transportation and Assignment Models: Definition and Application of the Transportation Model, Solution of the Transportation Problem, the Assignment Model, & Variants of assignment problems. Traveling Salesman Problem.

UNIT - III

Replacement Model: Replacement of Capital Cost items when money’s worth is not considered, Replacement of Capital Cost items when money’s worth is considered, Group replacement of low-cost items.

UNIT - IV

Game Theory and Decision Analysis: Introduction – Two Person Zero-Sum Games, Pure Strategies, Games with Saddle Point, Mixed strategies, Rules of Dominance, Solution Methods of Games without Saddle point – Algebraic, arithmetic methods. Decision Analysis: Introduction to Decision Theory, Steps In the Decision Making, the Different environments In Which Decisions Are Made, Criteria For Decision Making Under Risk and Uncertainty, The Expected Value Criterion With Continuously Distributed Random Variables, Decision Trees, Graphic Displays of the Decision Making Process.

UNIT - V

Queuing Theory and Simulation: Basic Elements of the Queuing Model, Poisson Arrivals and Exponential Service times; Different Queing models with FCFS Queue disciplne: Single service station and infinite population, Single service station and finite population, Multi service station models with infinite population. Simulation: Nature and Scope, Applications, Types of simulation, Role of Random Numbers, Inventory Example, Queuing Examples, Simulation Languages.

TEXTBOOKS:

• 1. Operations Research: Theory and Applications/ J. K. Sharma: / Macmillan, 2008.
• 2. Operations Research/ Er. Prem Kumar Gupta & Dr. D. S. Hira / S. Chana, 2016

REFERENCE BOOKS:

• 1. Introduction To Operations Research; Hillier/Lieberman/ TMH, 2008.
• 2. Render: Quantitative Analysis for Management, Pearson, 2009
• 3. Quantitative Analysis for Business Decisions / Sridharabhat/ HPH, 2009.
• 4. Operations Research / R. Panneerselvam/ PHI, 2008.
• 5. Operations Research: An Introduction / Hamdy, A. Taha/ PHI, 2007.
• 6. Quantitative Techniques/ Selvaraj/ Excel, 2009
• 7. Quantitative Techniques for Decision Making / Gupta and Khanna/ PHI, 2009.
• 8. Operations Research/ Ravindran, Phillips, Solberg/ Wiley, 2009.
• 9. Quantitative Methods for Business/ Anderson, Sweeney, Williams/ 10/e, Cengage, 2008