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All Journal Jurnal Matematika E-Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan
I Putu Winada Gautama
Universitas Udayana
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Penentuan Rute Terpendek dengan Menggunakan Algoritma Dijkstra pada Jalur Bus Sekolah I Putu Winada Gautama; Koko Hermanto
Jurnal Matematika Vol 10 No 2 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i02.p128

Abstract

Peran angkutan umum atau bus sekolah sangat vital dalam mengurangi pelanggaran lalu lintas bagi pengendara di bawah umur. Alat transportasi bus sekolah mulai populer di Bali. Khususnya di kota Denpasar, dinas perhubungan Kota Denpasar sudah beroperasi pada bulan September 2017. Salah satu optimasi yang dapat dilakukan adalah menentukan jarak terpendek dari rute bus sekolah. Semakin pendek jarak yang dilalui tentunya berdampak pada biaya dan waktu. Biaya yang dikeluarkan dapat diminimalkan dan waktu tempuh lebih efisien. Berdasarkan hasil yang diperoleh bahwa biaya bahan bakar yang dihabiskan bus sekolah shift pagi adalah Rp 70.132,-. Hasil ini dapat memberikan gambaran untuk Dinas Perhubungan kota Denpasar mengenai terapan matematika dalam menentukan rute yang dapat mengoptimalkan pengeluaran biaya bahan bakar
PERSEPSI KONSUMEN MINUMAN ISOTONIK DI KOTA DENPASAR I PUTU WINADA GAUTAMA; I PUTU EKA NILA KENCANA; LUH PUTU SUCIPTAWATI
E-Jurnal Matematika Volume 1, No 1, Tahun 2012
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2012.v01.i01.p007

Abstract

Isotonic beverages is a drink that has a composition and the same osmotic pressure of body fluids. One of isotonic fluid and electrolyte replacement for the missing body. The main properties caused by consuming isotonic drinks, among others, to restore power after the move which can be exhausting. Denpasar City community largely has activities/jobs that drain a lot of energy. This condition is asufficient condition for both the isotonic beverage market and have many opportunities to promote its products to the city of Denpasar. Therefore, in this study wanted to know the competition some isotonic drinks brands with a range of variables examined in this case represented the city of Denpasar with Multidimensional Scaling Analysis and using Biplot Analysis of the perceptual mapping.
ANALISIS ASURANSI PENGANGGURAN DENGAN ASUMSI NON-ZERO MORTALITY I Nyoman Widana; I Putu Winada Gautama
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 3 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (544.123 KB) | DOI: 10.30598/barekengvol15iss3pp575-580

Abstract

Indonesia dengan jumlah penduduk sekitar 267 juta jiwa memiliki angkatan kerja sangat besar. Tetapi jumlah lapangan kerja yang tersedia tidak mampu menyerap semua angkatan kerja ini. Selain itu angka pemutusan hubungan kerja juga relatif masih tinggi. Hal ini membuat pemerintah melontarkan wacana program asuransi pengangguran. Sejauh ini telah dilakukan studi tentang hubungan besar premi dan benefit dari asuransi pengangguran. Tetapi, model yang digunakan dalam perhitungan preminya, dibentuk berdasarkan asumsi zero mortality. Tujuan dari penelitian ini adalah menganalis asuransi pengangguran dengan asumsi non-zero mortality. Metode yang digunakan adalah The Equivalence Principle. Hasil Perhitungan menunjukkan tarif premi untuk non-zero mortality nilainya lebih kecil dari pada tarif premi untuk zero mortality.
PENGGUNAAN METODE PROJECTED UNIT CREDIT PADA ASURANSI PENSIUN GABUNGAN MODEL VASICEK DAN CIR FARREL WILLIEARDAN; I NYOMAN WIDANA; I PUTU WINADA GAUTAMA
E-Jurnal Matematika Vol 12 No 1 (2023)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2023.v12.i01.p398

Abstract

Pension plan is an investment plan offered by employee company or life insurance companies to help create retirement funds. This research attempts to estimate the normal cost that participants must pay as well as the actuarial liability that must be paid by the insurance company to the participants using Projected Unit Credit method. Projected Unit Credit method uses the present value of the pension benefit and divided it by participant’s years of service. stochastic interest such as the Vasicek model and the CIR model will be used as a comparison. The result of this research is that the estimation of the normal cost and actuarial liability with the CIR model is smaller than the Vasicek model in the initial year, but the CIR model experience a greater increase than the Vasicek model which causes the normal cost and actuarial liability with the CIR model more expensive than the Vasicek model at the end of the contract. Both premiums and the actuarial liabilities increase as participants age.
KLASIFIKASI TINGKAT KESEJAHTERAAN KELUARGA DI KECAMATAN SIDEMEN MENGGUNAKAN BOOTSTRAP AGGREGATING (BAGGING) REGRESI LOGISTIK ORDINAL I GUSTI NGURAH SENTANA PUTRA; MADE SUSILAWATI; I PUTU WINADA GAUTAMA
E-Jurnal Matematika Vol 12 No 2 (2023)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2023.v12.i02.p409

Abstract

This research was conducted to determine the variables that have a significant impact on the stages of a well-off family in Sidemen Sub-district based on indicators obtained from the BKKBN and to classify the stages of a well-off family. This study used secondary data obtained from the stage of well-being data, Sidemen Sub-district, Karangasem Regency from BKKBN, totaling 1796 families. The method used is ordinal logistic regression and bagging ordinal logistic regression. Based on the logit regression model of ordinal logistic regression and ordinal logistic regression bagging, there are fourteen variables that have a significant effect on the dependent variable, namely marital status, type of insurance, age of head of household, occupation of head of household, having a source of income, eating a variety of food, having savings, accessing information from online media, families have ever recreated together, families have ever participated in social/community activities, the largest type of floor, main source of drinking water, ownership of a house/building, and children are still in school. The classification accuracy level in testing data using the ordinal logistic regression method was 79.4%, while the classification accuracy level using the bagging ordinal logistic regression method with 50,000 replications was 82.78%, so bagging showed an increase in classification by 3.38%.
Analisis Sensitivitas Pada Model Matematika Penyebaran Penyakit Demam Dengue dengan Laju Insidensi NonLinier I Putu Winada Gautama; Ni Kadek Nova Anggarani; I Made Eka Dwipayana; Putu Veri Swastika
Jurnal Matematika Vol 12 No 2 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i02.p155

Abstract

Abstract: Dengue fever is a disease that can be fatal if not treated seriously. This disease is transmitted to humans through the Aedes Aegypti mosquito. Mathematical modeling is a tool used to understand the dynamics of dengue fever. Incomplete data creates uncertainty in the parameter values of the mathematical model. Uncertainty analysis to determine these parameters using sensitivity analysis. This study found that the bite rate of susceptible and infected mosquitoes and the mosquito death rate have a large influence on changes in the value of . Human recovery rate (r), mosquito mortality rate , and human mortality rate have a major influence on infected human individuals . The bite rate of susceptible and infected mosquitoes has the most positive influence on the number of infected mosquitoes . The mortality rate of mosquitoes had the most negative relationship with the number of mosquitoes infected with . Numerical simulations are carried out to determine the dynamics that occur when parameter values are increased or decreased. Keywords: Sensitivity Analysis, Dengue Fever, Mathematical Modeling
Co-Authors FARREL WILLIEARDAN Hermanto, Koko I GUSTI NGURAH SENTANA PUTRA I Made Eka Dwipayana I Nyoman Widana I Putu Eka Nila Kencana Made Susilawati Ni Kadek Nova Anggarani Ni Luh Putu Suciptawati Putu Veri Swastika