Optimizacija proizvodnje na mješovitom poljoprivrednom gospodarstvu primjenom linearnog programiranja

master's thesis

• Title (english): Optimization of production on a mixed farm with the application of linear programming
• Author: Branimir Vlahović
• Mentor: Josip Juračak (mentor)
• Committee member: Josip Juračak (predsjednik povjerenstva)
• Committee member: Biserka Kolarec (član povjerenstva)
• Committee member: Zoran Luković (član povjerenstva)
• Granter: University of Zagreb; Faculty of Agriculture; (Department of Management and Rural Entrepreneurship); Zagreb
• Defense date and country: 2018-09-28, Croatia
• Scientific / art field, discipline and subdiscipline: BIOTECHNICAL SCIENCES; Agronomy

Abstract

Optimizacija djelatnosti i odabir najboljih opcija je od ključne važnosti u mnogim područjima, pa i u poljoprivredi. Cilj ovog rada je bio prikazati primjenu matematičkog modela linearnog programiranja u optimizaciji proizvodnje na primjeru ratarsko-svinjogojskog OPG-a Josipa Vlahovića kraj Bjelovara na kojemu međusobno zavise ratarska proizvodnja usjeva za tržište i ishranu svinja te svinjogojska proizvodnja. Za određivanje optimalnog rješenja zadanog modela korišten je program 'Microsoft Excel', odnosno njegov dodatak 'Solver'. Dobiveni model se sastojao od 18 varijabli i 20 ograničenja te je tražio opseg ratarske i svinjogojske proizvodnje koji ostvaruje najveći doprinos pokrića. Optimalno rješenje početnog modela ukazuje kako bi se kukuruz trebao proizvoditi na maksimalno dopuštenim površinama, tritikale i ječam na površinama dovoljnim za ispunjenje kapaciteta spremišta, a pšenica na ostatku površina. Svinjogojska proizvodnja bi se trebala odvijati u najvećim mogućim kapacitetima.

Abstract (english)

Optimization of work and selection of the best options is of crucial importance in many areas, including in agriculture. The aim of this thesis was to demonstrate the application of a mathematical model of linear programming in the optimization of production using mixed crop-livestock farm of Josip Vlahović near Bjelovar as an example, on which the production of profit crops and crops for fodder and pig production is dependent on each other. To determine the optimum solution of the default model, the spreadsheet 'Microsoft Excel', i.e. its plugin 'Solver', was used. The obtained model consisted of 18 variables and 20 constraints, and sought the scope of the crop and pig production that has the greatest contribution to cover. The optimum solution of the initial model suggests that corn should be produced on maximum permissible farmland, triticale and barley on area sufficient to fill the storage capacity and wheat on the rest of the farmland. Pig production should take place in the highest possible capacity.

• Keywords: optimizacija; linearno programiranje; ratarstvo; svinjogojstvo
• Keywords (english): optimization; linear programming; crop production; pig breeding
• Language: croatian
• URN:NBN: urn:nbn:hr:204:003646
• Study programme: Title: Agribusiness and Rural Development; Study programme type: university; Study level: graduate; Academic / professional title: magistar/ magistra inženjer/inženjerka agrobiznisa i ruralnog razvitka (magistar/ magistra inženjer/inženjerka agrobiznisa i ruralnog razvitka)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Access restricted to students and staff of home institution
• Created on: 2018-10-19 11:45:56