PERBANDINGAN WEIGHTED GOAL PROGRAMMING DAN LEXICOGRAPHIC GOAL PROGRAMMING PADA OPTIMASI PERENCANAAN MENU DIET BAGI PENDERITA DIABETES MELITUS

MAHMUDIN RIZAL, . (2023) PERBANDINGAN WEIGHTED GOAL PROGRAMMING DAN LEXICOGRAPHIC GOAL PROGRAMMING PADA OPTIMASI PERENCANAAN MENU DIET BAGI PENDERITA DIABETES MELITUS. Sarjana thesis, UNIVERSITAS NEGERI JAKARTA.

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Abstract

Pengaturan pola makan menjadi hal penting bagi penderita diabetes melitus guna menjaga kadar glukosa darah dalam batas yang aman. Skripsi ini membahas perbandingan antara dua pendekatan pemrograman tujuan, yaitu Weighted Goal Programming (WGP) dan Lexicographic Goal Programming (LGP) dalam perencanaan menu diet untuk penderita diabetes melitus. Penelitian dilakukan dengan menganalisis data diet yang direkomendasikan untuk diabetes melitus dan menggunakan kedua pendekatan pemrograman tujuan untuk merancang menu diet. Hasil penelitian menunjukkan bahwa keduanya menghasilkan hasil yang berbeda namun tetap sesuai target. Untuk tujuan kebutuhan kalori, karbohidrat, protein, dan lemak didapatkan hasil 1900 kalori, 295,5gr karbohidrat, 57,40gr protein, dan 52,78gr lemak untuk model Weighted Goal Programming (WGP). Sedangkan untuk model Lexicographic Goal Programming (LGP) didapatkan hasil untuk tujuan pemenuhan nutrisi sebesar 1900 kalori, 300gr karbohidrat, 57,85gr protein, dan 50,81gr lemak. Iterasi tabel simpleks pada Weighted Goal Programming (WGP) sebanyak 27 iterasi lebih efisien dibanding Lexicographic Goal Programming (LGP) sebanyak 32 iterasi. ***** Dietary adjustments are important for people with diabetes mellitus to maintain blood glucose levels within safe limits. This thesis discusses a comparison between two goal programming approaches, namely Weighted Goal Programming (WGP) and Lexicographic Goal Programming (LGP) in planning diet menus for people with diabetes mellitus. The study was conducted by analyzing recommended diet data for diabetes mellitus and using both goal programming approaches to design diet menus. The results of the study show that both produce different results but are still on target. For caloric, carbohydrate, protein, and fat intake goals, the Weighted Goal Programming (WGP) model produces results of 1900 calories, 295.5 grams of carbohydrates, 57.40 grams of protein, and 52.78 grams of fat. On the other hand, the Lexicographic Goal Programming (LGP) model generates results of 1900 calories, 300 grams of carbohydrates, 57.85 grams of protein, and 50.81 grams of fat to fulfill nutritional goals. The simplex table iterations in Weighted Goal Programming (WGP) are 27 iterations more efficient than in Lexicographic Goal Programming (LGP), which requires 32 iterations.

Item Type: Thesis (Sarjana)
Additional Information: 1). Ibnu Hadi, M.Si. ; 2). Devi Eka Wardani Menganingtyas, S.Pd., M.Si.
Subjects: Sains > Matematika
Divisions: FMIPA > S1 Matematika
Depositing User: Users 19141 not found.
Date Deposited: 04 Sep 2023 06:56
Last Modified: 04 Sep 2023 06:56
URI: http://repository.unj.ac.id/id/eprint/40494

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