Operations Research – Basic – Linear Programming Problem | Math Online Course by Udemy

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Graphical and Simplex Methods

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Operations Research – Basic – Linear Programming Problem

This course is intended to provide you an opportunity about the manual process of solving simple linear programming problems, involving the simplest type of constraint, namely >= (read as greater than or equal to) It starts with the graphical method of solving the Linear Programming Problem (LPP), with detailed explanation as to what is an LPP, how to formulate it and solve it using a simple graph. In the very first lecture, I have delved upon the concept of LPP and how and where it is to be applied. This lecture deals with plotting the constraints as straight lines in their limiting case and from thereupon finding the solution space. The first lecture has two problems solved in it whereas the second lecture solves four such problems. All types of problems have been covered, including the special case of three variable problem solved using graphical method! The next lecture that is lecture number 3 is an important lecture in the sense that it introduces the student to the process of simplex algorithm. Initially a very simple problem involving two variables and two constraints has been solved using the simplex process. In the course of solving the problem, the method has been explained at length. The next simplex problem covered in the same lecture has three variables and three constraints. The subsequent lecture in video number 4 deals with a 3 variable, 3 constraints with a multiple solution. It will also train the student as to how to detect a multiple solution. In this longish lecture, the second problem solved is by way of revision, and so are the next two, which are 3 variables, 3 constraints problems. Similar practice problems make up this lecture, for example, two problems have only been formulated, since its beyond the scope of the course to solve them. These variations are covered in another of my course, which is fairly an advanced one, which is also available on Udemy for subscription. Later on, in the same lecture, degeneracy has been covered at length, by solving a problem twice over. Towards the end of the lecture, the concept of duality has been explained with some details. In lecture number five, an important topic of sensitivity analysis is taken for discussion. Its very important to discuss this topic, not only to understand the simplex process completely but to understand the what if situations in businesses where LPP is applied. In lecture number 6, another simple problem on sensitivity analysis has bee covered, apart from covering a problem on graphical method, just by way of revision. The remaining parts of LPP have been covered in yet another course of mine named as Optimization through Linear Programming available separately on Udemy. That course will cover more advanced topics using all types of constraints, using web-tools for LPP solution and even using some mobile apps for solving LPP. If you have bought this course from Udemy, I am confident that you will enjoy it thoroughly and please do remember to give it a feedback after you complete the course. Thanks, and best wishes for your academic pursuits.

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