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Gusrian Putra
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INDONESIA
Indonesian Journal of Applied Mathematics
Published by Institut Teknologi Sumatera
ISSN : 27742067     EISSN : 27742016     DOI : https://doi.org/10.35472/indojam
Core Subject : Economy, Science, Engineering,
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Physics
Indonesian Journal of Applied Mathematics is a scientific publication media that publishes articles from the results of research or studies in the field of applied mathematics, focusing on Computational Mathematics, Optimization, Actuarial, Statistics, Numerical Modelling, Mathematical Physics, Financial Mathematics and Combinatorics. This journal publish twice in a year April and October. Indonesian Journal of Applied Mathematics is fully supported by Mathematics Study Program and Actuarial Study Program of Institut Teknologi Sumatera.
Arjuna Subject : Matematika - Matematika Terapan
Articles 46 Documents
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Prediksi Terkena Diabetes menggunakan Metode K-Nearest Neighbor (KNN) pada Dataset UCI Machine Learning Diabetes S, Mika Alvionita
Indonesian Journal of Applied Mathematics Vol. 3 No. 2 (2023): Indonesian Journal of Applied Mathematics Vol. 3 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v3i2.1577

Abstract

Penelitian ini menggunakan algoritma K- Nearest Neighbor (KNN) untuk memprediksi resiko seseorang terkena diabetes. Variabel yang digunakan dalam prediksi adalah pregnancies, glucose, blood pressure, skin thickness, insulin, BMI, diabetes pedigree function, dan age. Analisis menunjukkan bahwa Glucose, BMI, dan Age memiliki korelasi tinggi dengan diagnosis diabetes, menjadikannya indikator yang kuat untuk prediksi. Melalui metode KNN dengan k=1, dilakukan evaluasi model menggunakan Confusion Matrix. Hasil menunjukkan akurasi sebesar 96%, precision sebesar 91,6%, sensitivitas sebesar 88,7%, dan MSE sebesar 0,1376. Temuan ini menunjukkan bahwa KNN dengan k=1 efektif dalam memprediksi diabetes berdasarkan variabel klinis. Informasi ini dapat memberikan manfaat dalam pencegahan dan pengobatan diabetes secara lebih efektif.
Estimasi Jumlah Mismanaged Plactic Waste (MPW) Berdasarkan Kenaikan Populasi: Studi Kasus 30 Negara Tahun 2019-2022: Studi Kasus 30 Negara Tahun 2019-2022 Muliawati, Triyana; Supmawati, Meysi; Rahmawati, Eli; Aula, Naila Tsamrotul
Indonesian Journal of Applied Mathematics Vol. 4 No. 1 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i1.1175

Abstract

Abstract: Humans have produced more than 8 billion tons of plastic, more than half of which is directly dumped into landfills and only about 9% is recycled. This makes the author interested in looking at the relationship between population and the amount of waste generated in the hope of helping the government in reducing the amount of waste generated. This study aims to estimate the amount of Mismanaged Plastic Waste (MPW) based on population increase, focusing on 30 countries from 2019 to 2022. The Rank Spearman correlation test method was used to evaluate the relationship between population size and the amount of MPW, showing a strong relationship with a correlation coefficient of 0.60712. Furthermore, an analysis using the Cox-Stuart test was conducted to determine the trend in population size from 2003 to 2022, which showed that there was no clear trend in the population data or an upward trend in the time span. Based on these findings, a predictive estimate of the number of MPW for the period 2019-2020 was conducted, providing additional insight into the impact of population growth on the amount of unmanaged plastic waste in these countries.
Dinamika Pertanian Desa Toto Katon: Analisis Kecenderungan, Peramalan Produksi Padi, dan Korelasi dengan Luas Tanam: Analisis Kecenderungan, Peramalan Produksi Padi, dan Korelasi dengan Luas Tanam Naimah, Khoirun; Inayati, Dyah Fitri
Indonesian Journal of Applied Mathematics Vol. 4 No. 1 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i1.1733

Abstract

Pengelompokkan Kesejahteraan Berdasarkan Faktor-Faktor Sosial Ekonomi Terhadap Klasifikasi Indeks Pembangunan Masyarakat di Provinsi Aceh Menggunakan Analisis Diskriminan Sofia, Ayu
Indonesian Journal of Applied Mathematics Vol. 4 No. 1 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i1.1771

Abstract

Provinsi Aceh menjadi salah satu provinsi di Indonesia dengan karakteristik unik yang memungkinkan penelitian mendalam terhadap variasi tingkat kesejahteraan berdasarkan pengelompokan nilai IPM di wilayah tersebut. Penelitian ini dilakukan dengan tujuan untuk mengamati pengelompokan level kesejahteraan di Provinsi Aceh berdasarkan faktor-faktor yang membangun dimensi sosial untuk mengklasifikasikan Indeks Pembangunan Manusia (IPM). Data yang digunakan merupakan data sekunder yang diambil dari BPS Provinsi Aceh. Metode analisis diskriminan menjadi metode utama yang digunakan untuk mengidentifikasi variabel-variabel yang paling berpengaruh dalam membedakan kelompok tingkat kesejahteraan, berdasarkan variabel-variabel tersebut,dilakukan pengelompokan lebih lanjut sdan tepat terhadap daerah di wilayah di Provinsi Aceh. Hasil analisis penelitian ini menghasilkan fungsi diskriminan: . Hasil validasi sebesar 70.33% menunjukkan bahwa fungsi diskriminan yang terbentuk layak digunakan untuk mengklasifikasikan Indeks Pembangunan Manusia (IPM) dalam menentukan tingkat kesejahteraan. Pengklasifiasian Indeks Pembangunan Manusia (IPM) untuk menentukan tingkat kesejahteraan menggunakan analisis diskriminan dipengaruhi oleh variabel jumlah penduduk, tenaga kesehatan, tingkat pengangguran, pengeluaran per kapita, dan akses masyarakat terhadap sanitasi.
Analisis Jumlah Kecelakaan Lalu Lintas, Korban, dan kerugian di Provinsi Lampung Tahun 2021 Dengan Metode K-Means Cluster Rivai, Muklas; Hutabarat, Aulia Khairani; Halawa, Doni Hardian; Satrio, Ilham; Tarmizi, Muhammad Syauki; Frasiska, Nadia; Pratiwi, Niken; Alma, Zalikha
Indonesian Journal of Applied Mathematics Vol. 4 No. 1 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i1.1772

Abstract

Abstract: Provinsi Lampung is facing a serious challenge regarding the high rate of traffic accidents, triggered by the increasing number of vehicles and inadequate infrastructure. Low awareness of traffic regulations also serves as a major cause of accidents. This research employs the Cluster Analysis method within the Geographic Information System (GIS) to categorize traffic accident data in Lampung Province for the year 2021. The data encompasses the number of accidents, fatalities, serious injuries, minor injuries, and financial losses across 14 districts/cities. The cluster analysis results identify two main groups with distinct characteristics. The first cluster exhibits a low accident rate, while the second cluster shows a high accident rate, contributing significantly to the total number of accidents, fatalities, serious injuries, minor injuries, and financial losses. Recommendations for interventions are tailored to the characteristics of each cluster, emphasizing either fatal injury prevention or road infrastructure improvements. The findings of this research provide a foundation for designing more effective strategies to reduce accident risks and enhance traffic safety in Lampung Province Keywords: K-means, Accidents, Lampung Province
Perhitungan Cadangan Premi Asuransi Jiwa Berjangka dengan Menggunakan Metode Zillmer dan Fackler Sitorus, Kristiani; Yulita, Tiara; Lestari, Fuji
Indonesian Journal of Applied Mathematics Vol. 4 No. 2 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i2.1944

Abstract

Human life is never free from risk. Along with the development of the era, humans began to realize the importance of protecting themselves in the event of a risk, including the risk of death. To overcome this, many individuals transfer the risk by registering themselves or their families with life insurance. The life insurance that is focused on is term life insurance, which is a form of protection with a certain period of time that has been set. In order to run its operations properly, insurance companies need to prepare premium reserves with accurate calculations. These calculations can be done through two actuarial methods, namely prospective and retrospective methods. This study uses the Zillmer method (prospective) and the Fackler method (retrospective) for calculating premium reserves. The purpose of this study was to determine the analysis of the results of calculating the premium reserve value from the two methods. The premium reserve values ​​calculated using the Zillmer and Fackler methods were different. At an interest rate of 6.25%, the Fackler method produces a higher premium reserve compared to the Zillmer method. This difference is because the Zillmer method includes other costs such as acquisition costs, administration, and agent commissions in calculating premium reserves. In contrast, the Fackler method does not take these costs into account in its calculations.
Analisis Perbandingan Cadangan Premi New Jersey dan Canadian Status Joint Life dengan Model Suku Bunga Hull White Siahaan, Marco Marolop; Mahrani, Dwi; Sofia, Ayu
Indonesian Journal of Applied Mathematics Vol. 4 No. 2 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i2.1946

Abstract

Banyaknya perusahaan asuransi yang merugi di Indonesia salah satunya disebabkan nilai suku bunga yang tidak menentu disetiap tahunnya. Salah satu solusi masalah tersebut dengan mengevaluasi dampak ketidakpastian suku bunga terhadap perusahaan asuransi di Indonesia dengan menggunakan suku bunga model Hull White menggunakan estimasi parameter metode Jackknife. Hasil suku bunga stokastik model Hull White digunakan untuk menghitung cadangan premi modifikasi pada asuransi jiwa dwiguna status Joint Life (suami-istri) untuk setiap golongan usia dengan asumsi saling bebas atau Independent. Asuransi yang ditawarkan memiliki masa pertanggungan selama 20 tahun dengan pembayaran diskrit setiap tahun. Penelitian ini bertujuan membandingkan perhitungan cadangan premi modifikasi antara metode New Jersey dan Canadian untuk mengetahui analisis dari kedua metode cadangan premi modifikasi tersebut. Berdasarkan hasil premi yang telah dimodifikasi metode New Jersey lebih besar dibandingkan metode Canadian, dan akan berbanding terbalik untuk besar cadangan premi modifikasi dengan menunjukkan metode Canadian menghasilkan nilai lebih besar daripada New Jersey, yang artinya semakin tinggi nilai premi modifikasi maka semakin rendah nilai cadangan premi modifikasinya, begitu juga sebaliknya. Secara keseluruhan, besar cadangan premi modifikasi metode Canadian menghasilkan perhitungan lebih besar dibandingkan metode New Jersey untuk pasangan suami-istri berusia muda.
Extended Kalman Filter with Optimal Control On Dengue Model Aulia, Hanna Hilyati; Ayu, Regina Wahyudyah Sonata
Indonesian Journal of Applied Mathematics Vol. 4 No. 2 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i2.1987

Abstract

In real life, due to various measurement limitations, not all variables in the dengue fever epidemic model can be measured. Therefore, a tool is needed to estimate unmeasured variables with known related variables. One method for estimating variables in nonlinear systems is the extended Kalman filter (EKF). Next, using these estimated results, optimal control will be sought in the form of vaccination to reduce the number of infections. From the simulation results, it can be concluded that state estimation with EKF for the dengue fever model is good enough to estimate each variable with measurements that are disturbed by a random variable within the selected range of disturbance covariance. Then, it was found that the smaller the standard deviation of the disturbance, the smaller the optimal control required at the start. Thus, the greater the disruption, the greater the costs spent.
Optimasi Portofolio Berdasarkan Model Mean-Variance dengan menggunakan Lagrange Multiplier pada saham IDX30 Abdallah, Muhammad Naif; Febrianti, Werry; Mardianto, Lutfi
Indonesian Journal of Applied Mathematics Vol. 4 No. 2 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i2.1983

Abstract

This study aims to optimize the portofolio of stocks included in the IDX30 index using the Mean-Variance model developed by Markowitz. The Lagrange Multiplier method is used in this study to determine the optimal fund allocation by minimizing risk and optimizing expected return. The data used is the daily closing price of stocks from 15 companies listed in the IDX30 index over the last five years (2019-2024). The results show that the Mean-Variance and Lagrange Multiplier methods are effective in identifying the optimal portofolio that can minimize investment risk while maximizing returns
MATHEMATICS MODEL SIRS-SI OF TRANSMISSION DENGUE VIRUS CONSIDERING FUMIGATION, VACCINATION AND TREATMEN IN CASE OF TANGERANG CITY Utomo, Rukmono Budi; Azizah, Azizah
Indonesian Journal of Applied Mathematics Vol. 4 No. 2 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v4i2.1913

Abstract

Abstract: In this paper, we construct a mathematical model SIRS-SI transmission dengue fever considering fumigation, vaccination and treatment in case Tangerang City. Background why this research has to do because in Tangerang City the case of dengue fever is pretty lot. Method in this research is using compartment model and create differential equation system. We also do some analyze the model like determining free disease equilibrium point and endemic equilibrium point. We also determining basic reproduction number and making analyze stability of the model around equilibrium points. We also do simulation of the model and the result; model is local asymptotic stable in area free disease equilibrium point and local asymptotic stable in area endemic equilibrium point. Because R0 <1 for free disease equilibrium point, then there are no endemic disease, but because R0 > 1 for endemic equilibrium point then situation is in endemic dengue fever. Keywords: SIRS, Fumigation, Vaccination, Treatment, Dengue

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