Judul: Optimalisasi konsumsi pangan bagi rumahtangga miskin berdasarkan kecukupan gizi, kebiasaan pangan dan pendapatan
Abstrak: This research is aimed at finding the solution for poor households by recommanding the food that is best consumed by individuals based on the nutritional adequacy, food habit and income. Based on the optimum solution, the minimum cost of minimum adequacy. This research was carried out in April - June 2009 in Babakan Village, Dramaga Subdistrict, Bogor Regency. Samples for the research were poor households that were chosen purposively and gradually based on BKKBN data.
Keyword: Nutritional Adequacy, Food Consumption, Poor Household, Goal Programming, Statistical Analysis System (SAS)

Judul: Optimasi Konsumsi Pangan pada Rumah Tangga dengan Pendapatan 20 Persen Terendah di Provinsi Sulawesi Selatan
Abstrak: Optimasi konsumsi pangan pada rumah tangga dengan tingkat pendapatan yang rendah diperlukan untuk memenuhi kebutuhan gizi. Penelitian ini bertujuan untuk mengevaluasi kualitas dan kuantitas konsumsi pangan serta menyusun rekomendasi komposisi pangan yang dapat mencukupi kebutuhan energi dan protein pada rumah tangga dengan pendapatan 20% terendah di Provinsi Sulawesi Selatan dengan biaya yang minimum. Desain penelitian yang digunakan adalah penelitian deskriptif menggunakan data sekunder. Hasil penelitian menunjukkan bahwa rumah tangga dengan pendapatan 20% terendah masih belum mampu memenuhi kebutuhan energi dan protein per kapita per hari (TKE=79,6% dan TKP=87,6%) serta konsumsi pangannya masih tergolong belum beragam dan seimbang (PPH=58,1). Rekomendasi komposisi pangan yang didapatkan melalui linear programming dapat memenuhi kebutuhan energi dan protein per kapita per hari dan skor PPH masih dapat ditingkatkan. Biaya pangan dari susunan komposisi pangan yang direkomendasikan juga mendekati rata-rata pengeluaran pangan per hari rumah tangga dengan pendapatan 20% terendah di Provinsi Selatan tahun 2021. Kata kunci: biaya pangan, optimasi konsumsi pangan, rumah tangga, tingkat kecukupan energi, tingkat kecukupan protein, Optimizing food consumption in households with low-income levels is necessary to meet nutritional needs. This study aims to evaluate the quality and quantity of food consumption and develop food composition recommendations that can fulfill energy and protein requirements among households with the lowest 20% income in South Sulawesi Province at a minimum cost. The research was conducted by processing secondary data with a descriptive research design. The results show that households with the lowest 20% income are still not able to fulfill their energy and protein requirements per capita per day (energy 7.,6% RDA and protein 87.6% RDA) and their food consumption is still not diverse and balanced (DDP score=58.1). The food composition recommendation obtained through linear programming can improve energy and protein adequacy and DDP score can still be improved. The food costs of the recommended food composition models are also close to the average daily food expenditure of households with the lowest 20% income in South Sulawesi Provinces in 2021. Keywords: energy adequacy level, food cost, household, optimization of food consumption, protein adequacy level
Keyword: biaya pangan, optimasi konsumsi pangan, rumah tangga, tingkat kecukupan energi, tingkat kecukupan protein

Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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