JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

22BBA403: QUANTITATIVE ANALYSIS

BBA (Data Analytics) IV Semester (R22)

Overview

Course objectives:

To understand the nature, scope and application of operations research in business problem.
To learn the formulation and application of LPP in different areas of business.
To understand the concept of transportation and feasible solutions used in solving problems.
To get the knowledge about different methods used in problem solving like-Hungarian and Travelling salesman.
To understand the decision-making theory, game theory for problem solving.

Course Outcomes:

To adopt the quantitative and qualitative techniques in better decision making.
Able to solve business problems using the data graphically using LPP.
To find feasible solutions to problem using various models.
To solve the assignment problems using models.
To apply decision theory and game theory for decision making in different conditions.

UNIT - I: Introduction Quantitative analysis

Nature and scope of Operations research: Applications of OR in different Managerial areas: - Production and operations, - Technology management, HR, Marketing, Financial and other areas of Business - Problem solving and decision making, Quantitative and qualitative analysis.

UNIT - II: Linear Programming Method

Formulation of Linear Programing Problem - Applications areas of LPP, - Formulation of LPP for different areas, solving of LPP by Graphical Method: Extreme point method, simplex method LPP, Limitations of LPP.

UNIT - III: Transportation Problem

Mathematical Model of transportation problem, Methods for finding Initial feasible solution: Northwest corner Method, Least Cost Method, Vogel’s approximation Method, Test of optimality by Modified Distribution Method (MODI),- unbalanced transportation problem - Degeneracy and its resolution.

UNIT - IV: Assignment Model

Hungarians Method for solving assignment problem, variations of assignment problem: Multiple Optimal Solutions, Maximization case in assignment problem, unbalanced assignment problem, travelling salesman problem.

UNIT - V: Decision Theory

Introduction, ingredients of decision problems. Decision making – under uncertainty, cost of uncertainty, under risk, under perfect information, decision tree, construction of decision tree. Game Theory: Introduction to Game theory, Game with Saddle point, Value of the Game without saddle point. Solving game by Graphical method. Rule of Dominance property in Game theory.