Naslov (eng)

Application of simplex method in linear programming fruit plantations

Naslov (srp)

Primena linearnog programiranja u podizanju voćnih zasada

Autor

Ignjatijević, Svetlana
Babović, Jovan
Radović, Ilija

Opis (eng)

Abstract: Using linear programming in the field of agricultural production facilitates the process of making optimal decisions. During our work we optimized raising plantations in the area of fruit growing by the method of linear programming. Optimization was performed in five fruit species, as follows: apples, pears, plums, sour cherries and cherries. Goal function is to maximize gross profit. When planting on 117.4 hectares, the optimal solution of the structure of plantation is as follows: 39.92 hectares of apples, 2.03 hectares of pears, 68.47 hectraes of plums, 16.4 hectares of sour cherries and 1.65 hectares of cherries. Cost function for planting 117.4 hectares provides a gross profit of 30 939.8 thousand RSD, or with the correction of the planting program, 31 740 thousand RSD for 2.53 hectares. The largest gross profit is achiieved by planting apples, plums and sour cherries, which is in line with the market demand. The program can be applied to every size of fruit plantations, which is economically significant for farmer households.

Opis (srp)

Sažetak: Primenom linearnog programiranja u oblasti poljoprivredne proizvodnje olakšava se proces donošenja optimalnih odluka . U radu smo izvršili optimizaciju podizanja zasada u voćarstvu metodom linearnog programiranja. Optimizacija je izvršena kod pet voćnih vrsta, i to: jabuke, kruške, šljive, višnje i trešnje. Funkcija cilja predstavlja maksimizaciju bruto profita. Pri sadnji od 117,4 ha optimalno rešenje strukture zasada je kod: jabuke 38,92 ha, kruške 2,03 ha, šljive 58,47 ha, višnje 16,4 ha i trešnje 1,65 ha. Funkcija cilja pri sadnji od 117,4 ha obezbeđuje bruto profit od 30.939,8 hiljada dinara ili sa korekcijom programa sadnje za 2,53 ha od 31.740 hiljada dinara. Najveći bruto profit postiže se sadnjom jabuke, šljive i višnje, što je u skladu sa tražnjom na tržištu. Program se može primeniti na svaku veličinu voćnih zasada, što je od ekonomskog značaja za farmerska gazdinstva.

Jezik

srpski

Datum

2011

Licenca

Ovo delo je licencirano pod uslovima licence
Creative Commons CC BY 4.0 - Creative Commons Autorstvo 4.0 International License.

http://creativecommons.org/licenses/by/4.0/legalcode

Predmet

Key words: linear programming / optimization / fruit plantations / gross profit maximization

Ključne reči: linearno programiranje; optimizacija; voćni zasadi; maksimizacija bruto profita

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