Quantitative Techniques

Paper Code: 
24CATG313
Credits: 
04
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to develop a comprehensive understanding of fundamental quantitative tools and techniques used in business decision-making.

Course Outcomes: 

Course

Learning outcome

(at course level)

Learning and teaching strategies

Assessment Strategies

Course Code

Course title

24CATG313

 

Quantitative Techniques (Theory)

 

CO85: Apply QT concepts in trade and industry, recognizing their nature and role, and design and solve transportation and assignment models.

CO86: Develop mathematical formulations for optimization problems.

CO87: Utilize concepts of Permutation, Combinations, and Probability in problem-solving.

CO88: Apply interpolation, extrapolation, and simulation techniques to estimate hypothetical values and apply learned skills in real-life situations

CO89:  Employ game theory to formulate persuasive strategies and manage waiting lines efficiently.

CO90: Contribute effectively in course-specific interaction

Approach

in

teaching:

Interactive

Lectures,

Discussions,

Tutorials,

Reading

assignment; Solving

Questions.

 

Learning

activities

for the

students:

Self-learning

assignment, Effective

questions,

Seminar

Presentation

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

 

 

12.00
Unit I: 
Introduction to Quantitative Techniques and Optimization Problems:

Quantitative Techniques: Basic Concepts and Definitions,
• Merits and demerits, classification of QT,
• Nature and Functions, Role of QT in trade and Industry,
• Application of QT, Limitations
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

12.00
Unit II: 
Linear Programming and Its Applications:

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

12.00
Unit III: 
Permutations, Combinations, and Probability Theory: Concept of Permutation and Combinations

Probability- Basic Concepts,
• Importance of Concept of Probability,
• Theorem of Probability (Additional Theorem and Multiplication Theorem),
• Conditional Probability, Bayes’ Theorem,
• Mathematical Expectation

12.00
Unit IV: 
: Interpolation, Extrapolation, and Simulation Techniques: Interpolation & Extrapolation

• Newton’s methods of advancing differences,
• Binominal Method & Lagrange’s Method
Simulation
• Methodology and Application of Simulation technique.
• Monte Karlo Simulation Model- Concept and steps.

12.00
Unit V: 
Game Theory and Queuing Theory:

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.

Essential Readings: 

● Agarwal, N. P. Quantitative Techniques . Ramesh Book Depot.
● Mathur, Khandelwal, & Gupta. Operational Research. Ajmera Book Company.
● Nag, N. K. Quantitative Methods . Kalyani Publishers
● Kapoor & Sancheti. Statistics Theory and Practice. Sultan Chand and Sons, New Delhi
● Agarwal, NP & Chaturvedi A, Advanced Business Statistucs, Ramesh Book Depot

References: 

Suggested Readings:
● Kapoor, V. K. Operational Research . Sultan Chand.
● Kothari, C. R. Quantitative Techniques. Vikas Publishing House Pvt. Ltd.
● Vohra, N. D. Quantitative Techniques in Management. Tata Mc Graw Hill, New Delhi.
● Taha, Hamady A, Operational Research- An Introduction, Prentice Hall of India
● Agarwal, N. P. Quantitative Techniques . Ramesh Book Depot.
● Gupta, S.P. Statistical Methods .Sultan Chand & Sons New Delhi

e- Resources:
https://www.bbau.ac.in/dept/UIET/EME-601%20Operation%20Research.pdf
https://wdn2.ipublishcentral.com//himalaya_publishing_pvt/viewinsidehtml...
https://www.amirajcollege.in/wp-content/uploads/2020/10/3151910-operatio...

Reference Journals:
● Journal of Operations and Strategic Planning
● Indian Journal of Finance
● IUP Journal of Applied Finance
● The Indian Journal of Commerce

Academic Year: