Primjena linearnog optimiranja u dijetoterapiji

master's thesis

• Title (english): Application of linear optimization in dietotherapy
• Author: Lucija Kirin
• Mentor: Jasenka Gajdoš Kljusurić (mentor)
• Committee member: Marjan Praljak (član povjerenstva)
• Granter: University of Zagreb; Faculty of Food Technology and Biotechnology; (Department of Process Engineering); (Laboratory for Measurement, Regulation and Automatisation); Zagreb
• Defense date and country: 2021-09-28, Croatia
• Scientific / art field, discipline and subdiscipline: BIOTECHNICAL SCIENCES; Nutrition

Abstract

Optimiranje je proces traženja optimalnog rješenja postavljenog problema koje zadovoljava sva postavljena ograničenja. Primjenom optimiranja u dijetoterapiji – cilj je pronaći optimalnu ponudu koja odgovara određenoj dijeti. Pomoću programa LINDO provedeno je linearno optimiranje, s ciljem dobivanja jednog optimalnog rješenja, ovisno o funkciji cilja, koje će zadovoljiti energetske i nutritivne zahtjeve postavljenog modela. Prilikom optimiranja korištene su 21 varijable (7 doručaka, 7 ručkova i 7 večera), što dovodi do mogućih 343 kombinacija dnevnog menija, no uvođenjem ograničenja s obzirom na potrebe promatranog modela broj kombinacija se smanjuje. Ograničenja se odnose na unos energije (npr. restrikcijska dijeta), makronutrijente (proteini, ugljikohidrati i masti) te mikronutrijente (natrij, vitamin C i vitamin D). Funkcija cilja mijenjala se ovisno o potrebnoj dijetoterapiji, a ograničenja su ostala nepromijenjena. Kao rezultat optimiranja dobiveni su jednodnevni jelovnici s minimalnim i maksimalnim unosom promatranog nutrijenta. Iako je linearno optimiranje dobar alat u planiranju prehrane, provedena je dodatna analiza optimalnih ponuda budući da nutricionist procjenjuje prihvatljivost ponuđenog optimalnog jelovnika, koji mora biti u skladu s načelima raznolike prehrane, ali i preferencijama samog korisnika.

Abstract (english)

Optimization is the process of finding the optimal solution to a set problem that satisfies all set constraints. By applying optimization in diet therapy - the goal is to find the optimal offer that suits a particular diet. Using the LINDO program, linear optimization was performed to obtain an optimal solution, depending on the objective function, which will satisfy the energy and nutritional needs of the model. During the optimization, 21 variables were used (7 breakfasts, 7 lunches, and 7 dinners), which leads to possible 343 combinations of the daily menu. The number of combinations was reduced by introducing limits depending on the daily needs of the observed model. Restrictions apply to energy intake (e.g., restriction diet), macronutrients (proteins, carbohydrates, and fats), and micronutrients (sodium, vitamin C, and vitamin D). The objective function varied depending on the diet therapy required, and the limits remained unchanged. As a result of optimization, one-day menus with minimum and maximum intake of the observed nutrient were obtained. Although linear optimization is a good tool in diet planning, an additional analysis of optimal offers was conducted as the nutritionist assesses the acceptability of the offered optimal menu, which must be according to the principles of a varied diet and the user's preferences.

• Keywords: LINDO; računalno modeliranje; dijetoterapija; optimalna prehrana; optimiranje
• Keywords (english): LINDO; computer modeling; dietetics; nutrition; optimisation
• Language: croatian
• URN:NBN: urn:nbn:hr:159:064623
• Study programme: Title: Nutrition; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra nutricionizma (magistar/magistra nutricionizma)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2021-10-11 10:22:22