Guía básica para el desarrollo e interpretación de los modelos matemáticos de programación lineal

Abstract

This proposal for a class note arises from the work in the classroom, where the student's difficulty in addressing the issues and studying in the basic texts indicated in the bibliography is observed. The introductory phase is not easy to assimilate, either because of the varied scale of skills and knowledge of the required mathematics and also as a result of past unsatisfactory experiences. This proposal for a class note seeks to establish, through a simple language, bridges between the student and the topics to be addressed, based on the experience in the development of operations research courses and with the aim of being able to deliver to the student basic developments that allow him to obtain a pleasant and satisfactory first step, which leaves the seed sown of a capacity that leads him to explore in increasingly complex environments. The language of the text seeks to have the closest proximity to the student's daily life, not only in its form but also in its modes: the examples are widely explained and aim to generate reflection that transforms curiosity into knowledge. The development of the class note begins with general information on operations research, their main milestones and their interpretation through modeling in the field of processes and decision-making in the face of real problems of the organization. It continues with a presentation of the basic concepts of linearity, which allow the student to build concepts and weave networks around the management of linear equations, their development systems, and their graphic representation. The handling of inequalities as a fundamental floor on which to build the whole principle of mathematical modeling of linear programming problems, expressed in objective function and constraints. They finish these notes by developing PL problems through the graphic method.