Archivo de Etiquetas (Tags) | simplex method

What is a Degenerate Optimal Solution in Linear Programming

Degenerate Optimal Solution

When applying the Simplex Method to calculate the minimum coefficient or feasibility condition, if there is a tie for the minimum ratio or minimum coefficient it can be broken arbitrarily. In this instance, at least one basic variable will become zero in the following iteration, confirming that in this instance the new solution is degenerate. […]

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How to Solve a Linear Programming model with Dual Simplex Method


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: […]

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Fundamental Theorem of Linear Programming and its Properties


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) […]

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How to detect that a Linear Programming problem is unbounded with the Simplex Method

unbounded linear programming

The Simplex Method is an algorithm that allows us to solve Linear Programming models that sometimes helps us identify exceptional cases with infinite optimal solutions or that the problem is unbounded. In the implementation of the Simplex Method, an unbounded problem is encountered when in any iteration there are any non-basic variables with a negative reduced […]

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