Parametric and multiobjective optimisation applied in agriculture: the study of cropping pattern in the Ameriya region in winter crops

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 constraints; 3. Parameter at the left-hand side of the constraints. 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.