The Shadow Price of a constraint in Linear Programming indicates how much the value of an objective (optimal) function changes due to a marginal variation in the right-hand side of a constraint. It is assumed that the rest of the model’s parameters remain constant. It should be noted beforehand that the Shadow Price can be […]
Linear Programming (LP) and Operations Research (OR) resources for students.
The Graphical Method (graphic solving) is an excellent alternative for the representation and solving of Linear Programming models that have two decision variables. For this purpose there are computational tools that assist in applying the graphical model, like TORA, IORTutorial and Geogebra. Within this context we will present a series of Linear Programming exercises that have been […]
The Simplex Method was developed by George Dantzing in 1947. It is without a doubt the most popular algorithm when it comes to solving a Linear Programming (LP) model, and it plays a major role in the introduction to Operations Research (OR). Today we’re presenting a summary of 10 main concepts about the use and […]
The Dual Simplex Method offers an alternative when solving Linear Programming (LP) models with algorithms. This method may be used in particular when the standard way to carry a linear programming model is not available from an initial basic feasible solution. Consider the following LP problem to illustrate the application of the Dual Simplex Method: […]
In this following article we will address properties set by the Fundamental Theorem of Linear Programming through a conceptual discussion and practical and simple examples. These properties are essential when taking into consideration algorithmic resolutions of this kind of mathematical optimization models, among them is what we call the Simplex Method. Every Linear Programming (LP) […]