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All Journal JURNAL ILMIAH MATEMATIKA DAN TERAPAN BAREKENG: Jurnal Ilmu Matematika dan Terapan Dinamisia: Jurnal Pengabdian Kepada Masyarakat JTAM (Jurnal Teori dan Aplikasi Matematika) Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam Jambura Journal of Mathematics Jurnal Matematika UNAND Variance : Journal of Statistics and Its Applications Jurnal Statistika dan Aplikasinya Indonesian Journal of Applied Research (IJAR) JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Jurnal Diferensial Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Griya Journal of Mathematics Education and Application Journal of Science and Technology Journal of Mathematics: Theory and Applications Pattimura International Journal of Mathematics (PIJMath) Jurnal Riset Mahasiswa Matematika Indonesian Journal of Computational and Applied Mathematics
La Ode Nashar
Prodi Statistika, Fakultas Matematika Dan IPA, Universitas Negeri Gorontalo
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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Utilizing the Welch-Powell Algorithm and the IDO (Incident Degree Ordering) Algorithm in Traffic Light Settings Latif, Sintia Abdul; Nurwan; K. Hasan, Isran; Achmad, Novianita; Wungguli, Djihad; Nashar, La Ode
Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam Vol. 21 No. 1 (2024): Sainmatika : Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam
Publisher : Universitas PGRI Palembang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31851/sainmatika.v21i1.9630

Abstract

The road junction needs some help with the timing of traffic lights. One method for optimizing crossroads traffic light settings is using a graph approach that applies a vertex coloring algorithm. The Welch-Powell and IDO (Incident Degree Ordering) algorithms are used to solve this problem. This case study covers two crossroads, namely: the crossroads of Prof. Dr. H.B. Jassin, Jenderal Sudirman Street, and the crossroads of Prof. Dr. H.B. Jassin, Palma, Sarini Abdullah Street. The result showed that the Welch-Powell and IDO algorithms used for vertex coloring produced XG=3 chromatic numbers for Prof. Dr. H.B Jassin, Jenderal Sudirman Street, and XG=4 for Prof. Dr. H.B Jassin, Palma, and Sarini Abdullah Street. New data shows that green-light efficiency increases by 23.85% and red-light efficiency decreases by 19.26% for crossroads of three, and new data at crossroads of four shows that data in the field is more effective than new data.
Perbandingan Metode K-Means Clustering dengan Self-Organizing Maps (SOM) untuk Pengelompokan Provinsi di Indonesia Berdasarkan Data Potensi Desa Iyohu, Lisa Rianti; Ismail Djakaria; La Ode Nashar
Jurnal Statistika dan Aplikasinya Vol. 7 No. 2 (2023): Jurnal Statistika dan Aplikasinya
Publisher : LPPM Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/JSA.07208

Abstract

K-Means is a method of grouping data into several different groups so that data that has similar characteristics is made into one group while data that has different characteristics is made into a different group, where this method works by minimizing the distance between the data and the cluster center. In addition to K-Means clustering, there is also the Self Organizing Maps (SOM) method which is an undirected method, meaning that layers consisting of neurons are arranged into groups based on input values, where each data grouping process is based on the characteristics or features of the data. Clustering is carried out in Provinces in Indonesia based on village potential data in 2021 with the aim of knowing the performance comparison of K-Means clustering and Self Organizing Maps (SOM). Determination of the optimal number of clusters is carried out using the Elbow method, the results in the study obtained 3 clusters for both K-Means clustering and Self Organizing Maps (SOM). The clustering results are evaluated using the Davies Bouldin Index (DBI) value and show that clustering using the Self Organizing Maps (SOM) method provides better results than using the K-Means clustering method where the DBI value is 0.1829366. The clustering results using the Self Organizing Maps (SOM) method for cluster 1 consist of 31 province members, cluster 2 consists of 1 province member and cluster 3 consists of 2 province members.
Analisis Peluang Jangka Panjang Mesin Penggilingan Padi Menggunakan Rantai Markov Nasib, Salmun K.; Hasan, Riyanto; Djakaria, Ismail; Payu, Muhammad Rezky Friesta; Nuha, Agusyarif Rezka; Nashar, La Ode
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25280

Abstract

The reliability of the machinery greatly affects the long-term potential of the grinding of pepper in Mustika village, Paguyaman district, and Boalemo district. The smoothness of the production process depends heavily on the condition of the machine, and if the machine's reliability is disrupted, then it will affect production. The purpose of this study is to determine the probability of the steady state of the machine and the timing of the maintenance of the grinding machine in the Mustika Village of Boalemo district. The Markov chain is a method used to deal with the purpose, whereas the Markov chain is the method used for predicting future events. The final result was an ergodic transition chance matrix, resulting in an estimated best maintenance time of 28 days of use with a steady state chance of 62.27\% of the machine being in good condition, 27.8\% in mild damage, and 9.93\% in severe damage.
Sistem Dinamik Penyebaran Coronavirus Disease Dengan Mempertimbangkan Vaksinasi Rasyid, Kamelia; Achmad, Novianita; Nuha, Agusyarif Rezka; Resmawan, Resmawan; Mahmud, Sri Lestari; Nashar, La Ode; Asriadi
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 20 No. 2 (2023)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2023.v20.i2.16326

Abstract

Coronavirus Disease (COVID-19) adalah jenis penyakit menular yang disebabkan oleh coronavirus jenis baru yang ditemukan pada tahun 2019 yang selanjutnya disebut Sars-Cov 2 (severe acute respiratory syndrome coronavirus 2). Tujuan penelitian ini adalah membangun model matematika, penentuan titik tetap, mencari analisis kestabilan titik tetap, menentukan nilai bilangan reproduksi dasar membuat simulasi model, dan interpretasi biologis. Hasil analisis terhadap dua titik tetap diperoleh titik kesetimbangan bebas penyakit akan stabil asimtotik apabila R0 < 1, sedangkan titik kesetimbangan endemik akan stabil asimtotik apabila R0 > 1. Selanjutnya, untuk mengilustrasikan dinamika penyebaran penyakit dilakukan simulasi numerik yang memberikan interpretasi bahwa peningkatan pemberian vaksin adalah cara yang bisa dilakukan untuk mengurangi penyebaran penyakit COVID-19.
Penerapan Metode I-CHAID Menggunakan SMOTE pada Data Tidak Seimbang untuk Klasifikasi Durasi Studi Mahasiswa Akor, Umar D.; Payu, Muhammad Rezky Fiesta; Nashar, La Ode
Jambura Journal of Mathematics Vol 7, No 1: February 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i1.27978

Abstract

The issue of delayed graduation is often encountered in various universities, including in the Statistics Study Program at Universitas Negeri Gorontalo, for graduates between 2018 and 2023. Among them, 162 students (76.5%) experienced delayed graduation, and 5 students (2.35%) dropped out. This delay in graduation is caused by various factors, necessitating a classification method capable of identifying the most dominant factors. The classification method used in this research is Improved Chi-Square Automatic Interaction Detection (I-CHAID) with the Synthetic Minority Oversampling Technique (SMOTE) approach. SMOTE is employed to address imbalanced data. Based on the I-CHAID classification tree with the SMOTE approach, the significant factors influencing the duration of study completion are the GPA in the fifth semester (67.2%) and the mentoring method (87.5%). As for the classification performance from the 40% testing data, the accuracy achieved was 40.6%, meaning that out of 32 samples, 13 were correctly classified. The sensitivity value was 6.25%, indicating the success rate of classifying data for students who graduated on time. The specificity value was 75%, showing the success rate in classifying data for students who did not graduate on time. The precision value was 20%, reflecting the accuracy of predicting students who actually graduated on time, and the F-measure was 9.52%, indicating the balance between precision and sensitivity.
Perbandingan FTS Ruey Chyn Tsaur dan Saxena Easo Dalam Meramalkan Kunjungan Wisatawan Mancanegara Di Bali Ulopo, Asrul S; Djakaria, Ismail; Nashar, La Ode; Hasan, Isran K; Asriadi, Asriadi
Jurnal Riset Mahasiswa Matematika Vol 4, No 5 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i5.33304

Abstract

Provinsi Bali merupakan destinasi wisata utama di Indonesia yang setiap tahunnya menarik jutaan wisatawan mancanegara. Kunjungan wisatawan mancanegara di Provinsi Bali Januari sampai Juli 2024 menyambut kedatangan 3.538.899 wisatawan mancanegara, menunjukkan peningkatan signifikan sebesar 22,18% dibandingkan periode yang sama pada tahun sebelumnya. Peningkatan jumlah kunjungan tersebut menjadi indikator penting dalam pengembangan sektor pariwisata sekaligus penopang utama perekonomian daerah. Oleh karena itu, peramalan jumlah kunjungan wisatawan mancanegara di Bali menjadi langkah strategis untuk mendukung perencanaan dan pengambilan kebijakan yang efektif serta pengelolaan destinasi yang berkelanjutan. Penelitian ini bertujuan untuk membandingkan akurasi metode Fuzzy Time Series Ruey Chyn Tsaur dan Fuzzy Time Series Saxena Easo dalam meramalkan jumlah kunjungan wisatawan mancanegara di Bali. Data yang digunakan merupakan data sekunder dari Badan Pusat Statistik selama periode Januari 2005 hingga Desember 2024. Hasil penelitian menunjukkan bahwa FTS Ruey Chyn Tsaur memiliki tingkat akurasi yang lebih tinggi dengan nilai MAPE sebesar 5,544%, dibandingkan dengan FTS Saxena Easo yang menghasilkan MAPE sebesar 8,9256%. Kedua metode termasuk dalam kategori sangat akurat karena nilai MAPE yang diperoleh berada di bawah 10%. Evaluasi model terbaik menunjukkan bahwa pendekatan tersebut menghasilkan nilai MAPE sebesar 6,811%.
ANALYSIS OF OPTIMUM CONTROL ON THE IMPLEMENTATION OF VACCINATION AND QUARANTINE ON THE SPREAD OF COVID-19 Nuha, Agusyarif Rezka; Achmad, Novianita; Rahman, Gusti Arviana; Abdullah, Syarif; Chasanah, Sri Istiyarti Uswatun; Valentika, Nina; Nashar, La Ode
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (426.143 KB) | DOI: 10.30598/barekengvol16iss4pp1139-1146

Abstract

This study constructs an SVIR-type COVID-19 spread model into a model with control variables or optimum control problems. In the formulation of the model with controls, we set four control variables, namely vaccination strategy, quarantine, reduction of vaccine shrinkage, and treatment. Pontryagin 's maximum principle is applied in the model as a sufficient condition to achieve optimum conditions for minimizing the objective function . This study uses a numerical solution to describe the theoretical results. The results showed that the control model could accelerate the decrease in the number of individuals in the infected population class. We found that vaccination is a top priority that needs to be done to reduce the number of cases of COVID-19 infection. In addition, the implementation of quarantine can also be considered to accelerate the decrease in the number of individuals infected with COVID-19.
ANALYSIS OF COVID-19 FOMITE TRANSMISSION MODEL WITH DISINFECTANT SPRAY Sabran, La Ode; Rianjaya, Ilham Dangu; Hasibuan, Lilis Harianti; Nashar, La Ode
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (576.652 KB) | DOI: 10.30598/barekengvol16iss3pp1021-1030

Abstract

The SARS-CoV-2 virus causes the infectious disease COVID-19. This virus can be transmitted via the fomite mode of transmission (the surface of objects contaminated with the virus). It is possible to prevent the spread of COVID-19 by spraying disinfectant on infected objects. This research aims to develop a mathematical model of COVID-19 fomite transmission with disinfectant spraying intervention. The model was analyzed by determining its stability and critical point. A Ro analysis was conducted to determine the impact of disinfectant spraying on the eradication or spread of the disease. The results demonstrated that, in the absence of disinfectant spraying, the number of infected humans increased rapidly and abruptly. Based on the findings of sensitivity analysis, it is known that spraying disinfectants is highly effective at reducing Ro, thereby reducing the number of infected humans and eradicating the disease from the population. In this study, the recommended measure to prevent the spread of COVID-19 is the periodic application of disinfectant in accordance with medical regulations.
COMPARING GAUSSIAN KERNEL AND QUADRATIC SPLINE OF NONPARAMETRIC REGRESSION IN MODELING INFECTIOUS DISEASES Adityaningrum, Amanda; Ladjali, Sri Indriani; Djakaria, Ismail; Yahya, Lailany; Payu, Muhammad Rezky Friesta; Nashar, La Ode; Jusuf, Herlina
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 4 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss4pp2135-2146

Abstract

The regression curve for nonparametric regression is assumed to belong to some infinite-dimensional collection of functions, which allows great flexibility in the form of the curve. This research intends to compare the Gaussian Kernel and Quadratic Spline regressions in four infectious diseases in Indonesia by 2021. The data used is secondary data from the Central Bureau of Statistics and the Ministry of Health, Indonesia, and the sample consists of four infectious diseases in Indonesia by 2021 (Tuberculosis, Diarrhoeal, Pneumonia, and COVID-19). Considering the correlation value, it was found that the independent and dependent variables of the four infectious diseases are all highly correlated (r values are more than 0.7). Furthermore, the scatter plots for four infectious diseases do not follow a particular pattern; due to this, parametric regression cannot be used to analyze the data. Therefore, nonparametric regression was applied in this research . According to the analysis, the Gaussian Kernel is the best regression technique for modeling four infectious diseases in Indonesia by 2021, which its R2 values are 99.85% (Tuberculosis), 100% (Diarrhoeal), 99.91% (Pneumonia), and 99.99% (COVID-19).
ROBUST LEAST MEDIAN OF SQUARE MODELLING USING SEEMINGLY UNRELATED REGRESSION WITH GENERALIZED LEAST SQUARE ON PANEL DATA FOR TUBERCULOSIS CASES Adityaningrum, Amanda; Resmawan, Resmawan; Brahim, Annisa Maharani; Isa, Dewi Rahmawaty; Nashar, La Ode; Asriadi, Asriadi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 4 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss4pp2293-2306

Abstract

Tuberculosis, primarily affecting the lungs and other organs, was the leading cause of death worldwide before the COVID-19 pandemic and continues to be a significant health concern. This research examined tuberculosis (TB) using a panel dataset. As a consequence, the datasets may contain outliers and contemporaneous correlations. A Robust Least Median of Square (LMS) model was developed in this research by combining Seemingly Unrelated Regression (SUR) with Generalized Least Square (GLS) on panel data to provide an analysis overview to overcome outliers and contemporaneous correlations. Based on secondary data obtained from the Central Bureau of Statistics of the Gorontalo Province and the Ministry of Health of the Gorontalo Province, this research examines TB cases between 2017 and 2021. The Chow test result suggests that CEM is the most appropriate model for analyzing panel data for TB cases in Gorontalo Province between 2017 and 2021. Due to the presence of outliers and influential observations in the data, robust LMS is employed. Furthermore, there is a problem of contemporaneous correlation in this research. Each regency or city can mitigate this problem by implementing robust LMS using SUR with GLS.
Co-Authors Agusyarif Rezka Nuha Ahmad, Rindawati Akor, Umar D. Asriadi Asriadi Asriadi Asriadi Brahim, Annisa Maharani Chasanah, Sri Istiyarti Uswatun Dewi Rahmawaty Isa Dina Fakhriyana Djihad Wungguli Fadilah Istiqomah Pammus Gani, Friansyah Hasan S. Panigoro Hasan, Riyanto Hasibuan, Lilis Harianti Herlina Jusuf Ismail Djakaria Isran K Hasan Iyohu, Lisa Rianti K. Hasan, Isran Karina Anselia Mamonto LA ODE SABRAN Ladjali, Sri Indriani Lailany Yahya Latif, Sintia Abdul LIHAWA, SRIRAPI H Lindrawati Abdjul Loleh, Linda Purnama Sari Mahmud, Sri Lestari Marukai, Nur Amalia Muhammad Rezky F. Payu Nadiyyah, Ana NISKY IMANSYAH YAHYA Novianita Achmad Nurafni, Firda Nurwan Nurwan Nurwan Nurwan Nurwan Nurwan Nurwan NURWAN NURWAN Rahman, Gusti Arviana Rahmi, Emli Rasyid, Kamelia Resmawan Resmawan Rianjaya, Ilham Dangu Sabran, La Ode Salmun K. Nasib Sartika Sari Dewi Siti Nurmardia Abdussamad Sugito Mahendra Imran Suleman, Alis Syarif Abdullah Tedy Machmud Ulopo, Asrul S Valentika, Nina Zian Bula