### ASSISTED DECISIONS IN FARMING MANAGEMENT BASED ON METHODS OF OPERATIONS RESEARCH – LINEAR MULTIOBJECT PROGRAMMING

#### Abstract

Linear programming, as a part of applied mathematics, more definitely – the branch of Operations Research, is seen as a solving method of problems linked to optimization. Each economical problem having as a purpose its optimization, especially concerning the distribution of resources, has in wiew the obtaining of an optimal value of a goal, for example a maximum of the profit, or a minimum of the costs.

Each economical problem depends of a lot factors submitted to some restrictions (constraints). The goal is dependent of these factors, reason for which the goal is found in a mathematical dependence (function) of these factors, named decisional factors. One has in wiew the optimization of an economic goal represented by a mathematical function of more variables. The optimization function represents a goal from the practice of a large variety of areas: technical, pedagogical, medical, agricultural, personnel organization, etc.The discussed function may be called “purpose function”, or “goal (objective) function”, or “efficiency function”. We prefer the name of “objective function”. If the dependence of the function of the decisional factors is a mathematical linear one (used in the areas mentioned above), then the problem is a linear progamming one. A linear programming problem can be: a “classical linear programming problem”, a “a multiobject problem”, or a “transport problem”.

In the paper is presented only the “multiobject problem”. Is presented the mathematical pattern, the coresponding terminology and also some practical issued solved on the computer in the summaries submitted to the work. Supplementary, we have to mentioned that the authors are the holders of the implementations on computer of the pattern mentioned above, in both known programming environment Fortran 77, C++ and desk computer one.

Each economical problem depends of a lot factors submitted to some restrictions (constraints). The goal is dependent of these factors, reason for which the goal is found in a mathematical dependence (function) of these factors, named decisional factors. One has in wiew the optimization of an economic goal represented by a mathematical function of more variables. The optimization function represents a goal from the practice of a large variety of areas: technical, pedagogical, medical, agricultural, personnel organization, etc.The discussed function may be called “purpose function”, or “goal (objective) function”, or “efficiency function”. We prefer the name of “objective function”. If the dependence of the function of the decisional factors is a mathematical linear one (used in the areas mentioned above), then the problem is a linear progamming one. A linear programming problem can be: a “classical linear programming problem”, a “a multiobject problem”, or a “transport problem”.

In the paper is presented only the “multiobject problem”. Is presented the mathematical pattern, the coresponding terminology and also some practical issued solved on the computer in the summaries submitted to the work. Supplementary, we have to mentioned that the authors are the holders of the implementations on computer of the pattern mentioned above, in both known programming environment Fortran 77, C++ and desk computer one.

#### Full Text:

PDFDOI: http://dx.doi.org/10.15835/arspa.v67i3-4.2988

Copyright (c)

**AGRICULTURA**

**AcademicPres**

University of Agricultural Sciences and Veterinary Medicine

3-5 Manastur St., 400372 Cluj-Napoca, Romania

Tel: +40-264-596.384 | Fax: +40-264-593.792

biroupublicatii@usamvcluj.ro