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Go to Course: https://www.udemy.com/course/operations-research-part-i/
If you're looking to deepen your understanding of Operations Research, particularly Linear Programming Problems (LPP), then the Coursera course — **"Operations Research: Introduction and Linear Programming" (Part 1)** — is an excellent starting point. This course offers a comprehensive introduction to the fundamental concepts of Operations Research and provides a detailed exploration of various methods for solving Linear Programming Problems. ### Course Highlights: - **Foundational Concepts:** The course begins with an overview of Operations Research, including its scope, advantages, limitations, and the types of mathematical models used in OR. This foundation helps learners appreciate the relevance and applications of OR in real-world scenarios. - **Focus on Linear Programming:** It introduces the key concepts of Linear Programming, emphasizing formulation, advantages, assumptions, and applications. This section is particularly useful for students and professionals aiming to apply these techniques in management, logistics, or optimization tasks. - **Numerical Problem Solving:** Throughout the course, numerous numerical examples are solved step-by-step. These examples clarify the formulation process and demonstrate how to apply different solution methods effectively. - **Various Solution Methods:** The course covers multiple approaches to solving LPPs: - **Graphical Method:** Simplified for problems with two variables, ideal for visual learners. - **Simplex Method:** A more advanced, systematic approach suitable for larger problems. - **Two-Phase Method:** Useful when artificial variables are needed in the solution. - **Big M Method:** Deals with problems that involve artificial variables with a large penalty cost. ### Who Should Take This Course? It's ideal for students, management professionals, and researchers with basic mathematics and management knowledge. A solid understanding of these fundamentals will help you grasp the concepts more effectively and apply them in practical situations. ### Why Recommend This Course? - **Structured Learning:** The course offers a logical progression from basic concepts to complex solution techniques. - **Hands-on Approach:** Numerical examples reinforce theoretical understanding and build problem-solving skills. - **Rich Content:** Covers all essential methods for solving LPPs, providing a well-rounded learning experience. - **Practical Relevance:** The skills gained are directly applicable to decision-making, resource allocation, and optimization problems across various industries. ### Final Verdict: This Coursera course is an excellent foundational resource for anyone interested in Operations Research. It balances theory with practical exercises, making complex concepts accessible and actionable. Whether you're a student starting out or a professional enhancing your problem-solving toolkit, this course will equip you with the necessary skills to approach linear programming problems confidently. Happy Learning!
This course is the first part of the lecture series of Operations Research course. It takes you through various topics like Introduction to Operations Research, Introduction to Linear Programming Problem(LPP), Formulation of LPP, LPP Solution using Graphical Method, LPP Solution using Simplex Method, LPP Solution using Two Phase Method and LPP Solution using BIG M Method. Various numerical are solved to explain the concepts and their applications. Basic Mathematics and Basic Knowledge of Management subjects are the requirement for understanding of this subject.We start with Introduction to Operations Research and then discusses about the Scope of Operations Research (OR), Advantages and Limitations of OR, Types of Mathematial Models in OR and Classification Schemes of Models in OR.Further, we move to the concept of Introduction to Linear Programming (LP) and then discusses about Requirements of LPP, Advantages & Limitations, Mathematical Formulation of LPP, Assumptions in Linear Programming Models in OR, Applications of Linear Programming Method in OR and Areas of Application of Linear Programming in OR. Further there are numericals discussed on Formulation of LPP.Third section deals with LPP Solution using GRAPHICAL Method. Numericals are solved for the same. Fourth section discusses about the theory and numericals on LPP Solution using SIMPLEX Method. LPP Solution using Two Phase Method is explained in the fifth section along with numericals.Lastly LPP Solution using Big M Method is discussed in theory and numericals form.Happy Learning!