RESUMEN: Este trabajo cubre una parte importante de la rama de Investigación Operacional conocida como Programación Lineal. Esta estudia las siguientes formas de optimización lineal paramétrica: 1. Parámetros en los coeficientes de la función objetivo. 2

Abstract

This paper covers an important part of linear programming branch of Operations Research, which is Parametric Multiobjective Optimisation. It studies the following forms of linear parametric optimisation: 1. Parameter at the coefficients of the objective function.

2. Parameter at the right-hand side of the constrains..
3. Parameter at the left-hand side of the constrains.
This paper also introduces a brief study of the solution of non-linear problems using penalization
methods, which transforms the problem into an unconstrained non-linear optimisation one. One of
the main attentions of this research is oriented towards the study of Multiobjective Optimisation
Problems. The study presents three basic techniques that seem to be used often in practice.
The paper presents the study of cropping pattern in the Ameriya region in winter crops. We were
interested in investigating the problem of the planning production, of examining the process of
allocating land on agriculture activities and determining the optimal cropping patterns to achieve
maximum in the income, and minima of irrigation water, use of fertilizers and number of workers