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Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Published by Universitas Negeri Gorontalo
ISSN : 20879393     EISSN : 27763706     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in the research. Euler disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and its applications. The scope of the articles published in this journal deal with a broad range of mathematics topics, including: Mathematics Applied Mathematics Statistics and Probability Applied Statistics Mathematics Education Mathematics Learning Computational Mathematics Science and Technology
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 209 Documents
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Optimasi Penentuan Basis Risiko pada Jaringan Saham Keuangan Menggunakan Dimensi Metrik untuk Estimasi Value at Risk Saefulloh, Annisa Hevita Gustina Kumalasari; Baiti, Putri Isnaini Cahyaning; Simanjuntak, Erica Grace; Latifah, Rahmatika Zaqiatul
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.37004

Abstract

This study aims to optimize systemic risk monitoring in the Indonesian financial sector network by determining the minimum risk basis using the Metric Dimension concept. The high complexity of inter-asset correlations requires a dimension reduction method that maintains structural information regarding risk exposure. Daily stock price data from 10 financial issuers (banking, insurance, and financing) for the five-year period from January 1, 2021, to December 31, 2025, were used. The data were transformed into a weighted graph through a log-return correlation matrix converted into metric distances. The resolving set (W) was determined using a greedy algorithm to identify the optimal basis. Validation was performed by analyzing the correlation between the metric coordinates of each issuer and its 95% Value at Risk (VaR). The results showed that the financial network has a metric dimension of dim(G) = 1, with ADMF.JK selected as the optimal resolving set (basis). Actuarial validation revealed a significant negative correlation (−0.5495) between the metric distance and VaR. This implies that the metric distance from the basis can linearly map the magnitude of market risk, offering an efficient strategy for investment managers to monitor portfolio stability through a single reference entity.
Evaluasi Perbandingan Model XGBoost, Random Forest, LightGBM, dan Artificial Neural Network dalam Klasifikasi Kerawanan Pangan Isnaini, Mardatunnisa; Gustiara, Dela; Muhadi, Rizqi Annafi; Shafa, Shalshabilla; Sartono, Bagus; Firdawanti, Aulia Rizki; Susetyo, Budi; Dito, Gerry Alfa
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.36227

Abstract

Food insecurity remains a serious household-level issue, particularly in densely populated regions such as West Java, highlighting the need for analytical approaches capable of accurately identifying vulnerable groups. Machine learning algorithms offer the potential to improve the accuracy and precision of food insecurity classification based on survey data. This study aims to compare the predictive performance and variable importance identification of four machine learning algorithms—Random Forest, Light Gradient Boosting Machine (LightGBM), Extreme Gradient Boosting (XGBoost), and Artificial Neural Network (ANN)—in predicting household food insecurity status. The analysis employs SUSENAS 2023 data covering 26,012 households with 14 predictor variables, and food insecurity is classified using the Food Insecurity Experience Scale (FIES). Class imbalance is addressed using the Synthetic Minority Over-sampling Technique (SMOTE) within a 10-fold cross-validation framework. The results show that XGBoost achieves the highest accuracy of 71%, while Random Forest provides the best balanced accuracy under the SMOTE scenario. Moreover, all algorithms consistently identify the Wealth Index as the most influential predictor based on their respective Variable Importance measures, followed by variables related to water access and food assistance. Accordingly, XGBoost is recommended in terms of accuracy, whereas Random Forest demonstrates superior balanced accuracy and prediction stability.
Modeling the Health Service Queuing System Using Petri Net and Max-Plus Algebra at Integrated Health Service Post (Posyandu) Abdullah, Syarif; Mursyidah, Himmatul; Wijaya, Ferdian Bangkit; Huda, Miftahul; Chasanah, Sri Istiyarti Uswatun; Nursafitri, Nadia Eka; Pertiwi, Dinda Dwi Anugrah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.35889

Abstract

This study models the health service queue system at the Integrated Health Service Post (Posyandu) in Cilegon City, Banten, using the Petri Net and Max-Plus Algebra approaches to analyze the flow of participant arrivals and completion times. The data used are observational data from Posyandu activities simulated through a discrete event model, which includes several types of participants, namely: babies not standing yet, babies standing, pregnant mothers, and family planning programs. Petri Net modeling is used to represent the relationship between service transitions, while Max-Plus Algebra is used to calculate the process cycle time based on the critical path. The results of the study showed that the categories of non-standing babies, standing babies, and pregnant women/participants in the family planning program had identical service time patterns, namely a total duration of 17 minutes 19 seconds, with the main stages including measurement, midwife intervention, and provision of additional food. Max-Plus analysis confirms that the measurement and midwife intervention stages are the critical path that determines the length of service time. This study concludes that the combination of Petri Net and Max-Plus Algebra is effective in describing the dynamics of Posyandu queues and is able to provide quantitative information needed to identify bottleneck points and the basis for improving the service flow.
Analisis Komparatif Random Forest dan Support Vector Machine untuk Klasifikasi Tingkat Keparahan Serangan Siber Islamey, Reyhanssan; Winiarti, Sri; Riadi, Imam
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.36558

Abstract

The escalating volume and sophistication of cyberattacks on network infrastructures processing massive daily traffic have overwhelmed security teams in prioritizing incident responses rapidly and accurately, a phenomenon known as alert fatigue. This study aims to analyze and compare the performance of the Support Vector Machine (SVM) and Random Forest (RF) algorithms for classifying cyberattack severity levels (Low, Medium, and High). The study uses the public Cyber Security Attacks dataset, consisting of 40,000 network traffic records reduced to 20,000 clean entries through preprocessing and feature engineering. The methodology includes data cleaning, selecting 10 significant features using SelectKBest, standardizing numerical features, and evaluating models across three data split scenarios (70:30, 80:20, and 90:10) using a stratified splitting approach. Experimental results show that SVM consistently outperforms RF across all scenarios, with the best performance in the 80:20 split, achieving 98.92% accuracy and a weighted average F1-Score of 0.99 using hyperparameter configurations of C = 100 and gamma = 0.01. The superiority of SVM lies in its ability to model non-linear relationships and complex feature interactions in data with overlapping class boundaries. In contrast, RF exhibits an over-prediction bias toward the minority class (’Low’) due to the class_weight=’balanced’ mechanism and limitations of axis-based separation. These findings confirm that SVM with a Radial Basis Function (RBF) kernel is more suitable for cyberattack severity classification, particularly in automated incident detection systems requiring balanced precision and recall as well as reliable decision-making.
Numerical Investigation of Vertical Oscillations of a Buoyant Object in a Stratified Fluid Rabiatunisa, Fathya; Fernandi, Diki; Magdalena, Ikha
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.37621

Abstract

This study explores the vertical oscillation dynamics of a buoyant object in a linearly stratified fluid and assesses the accuracy of a first-order finite difference scheme used for numerical simulation. The mathematical formulation, derived from the harmonic motion equation, was solved analytically through linearization around the equilibrium position and numerically to evaluate the scheme’s stability and precision. A sensitivity analysis with respect to the time step (∆t) revealed that numerical accuracy strongly depends on temporal resolution: at ∆t = 1 s, the numerical results closely matched the analytical solution, whereas larger ∆t values caused noticeable phase errors and reduced precision. As ∆t increased, phase errors became noticeable, with discrepancies appearing more clearly at ∆t = 5 s and beyond, highlighting a trade-off between computational efficiency and precision. The model was further extended by incorporating a quadratic damping term (R), enabling the simulation of damped oscillatory motion. Results showed that the decay rate of oscillations increases proportionally with R, where higher friction coefficients (R = 0.2) lead to faster energy dissipation and stabilization compared to smaller ones (R = 0.05). These outcomes demonstrate the robustness and reliability of the proposed numerical approach in reproducing both undamped and damped oscillation behaviors. This study provides a reliable framework for simulating buoyant object oscillations in stratified fluids, though further development is needed to incorporate more complex hydrodynamic effects for enhanced predictive accuracy.
Analisis Kinerja Model CNN-LSTM Berbasis Optical Character Recognition untuk Ekstraksi Informasi e-KTP Berdasarkan Kategori Teks Fajar, Fauzan Ihza; Kharis, Selly Anastassia Amellia; Tarigan, Asmara Iriani
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.37593

Abstract

Optical Character Recognition (OCR) technology plays an important role in automating information extraction from identity documents such as the Electronic Identity Card (e-KTP). However, recognizing long text sequences and handling complex character variations remain significant challenges. These issues can lead to high error rates. This study aims to address these limitations by exploring a deep learning–based OCR model that integrates Convolutional Neural Network (CNN), Long Short-Term Memory (LSTM), and Connectionist Temporal Classification (CTC) in an end-to-end framework without explicit character segmentation. CNN is employed to extract visual features, LSTM captures sequential dependencies, and CTC enables flexible alignment between input images and output text. The main contribution of this study lies in analysing the performance of a CNN-LSTM model with CTC in extracting e-KTP information across text categories with different complexity levels, namely Date and Place of Birth (TTL), name, and national identification number (NIK). Performance is evaluated using the Character Error Rate (CER). The results show that the model achieves the best performance on TTL with a CER of 0.84%, followed by NIK at 1.29%, and Name at 4.33% indicating higher difficulty in recognizing more complex text patterns. These findings demonstrate that model performance is influenced by text characteristics, particularly variability and sequence length. Overall, the proposed approach is effective for end-to-end e-KTP information extraction and provides insights for developing more adaptive OCR models.
Pemodelan Indeks Kerukunan Umat Beragama di Indonesia Menggunakan Regresi Nonparametrik Deret Fourier Berdasarkan Fungsi Basis Sinus dan Basis Cosinus Candra, Yossy; Dani, Andrea Tri; Wagimin, Wagimin
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.37721

Abstract

This study aims to analyze the factors suspected of influencing the Interfaith Harmony Index (IKUB) across all provinces in Indonesia and determine the best prediction model. The predictor variables suspected of influencing are the number of religious organizations, religious instructors, educational institutions, and houses of worship. The analysis was conducted using nonparametric Fourier series regression with a comparison of cosine and sine basis functions, and evaluation through MSE, RMSE, MAPE, GCV, UBR, and . The results show that the 4-oscillating cosine basis function model is the most accurate, with MSE (2.27), RMSE (1.51), MAPE (1.47), GCV (6.56), UBR (1.29×10-10)and  (86.28%), compared to the sine basic function model. This model is able to flexibly represent complex nonlinear relationship patterns and variations in IKUB between provinces. These findings demonstrate a relationship between the research variables and variations in IKUB values, thus providing a basis for understanding harmony patterns and supporting data analysis for policy considerations. While the research findings are predictive, they place greater emphasis on uncovering the relationships between variables that influence interfaith harmony.
Forecasting the Consumer Price Index with Holt-Winters: A Comparative Study of Ordinary Least Squares and Maximum Likelihood Estimation Rombeallo, Esra; Pandu, Marvin Jecson
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.37783

Abstract

The Consumer Price Index (CPI) is a crucial macroeconomic indicator reflecting regional inflationary pressures. This study aims to compare the performance of Ordinary Least Squares (OLS) and Maximum Likelihood Estimation (MLE) methods in estimating Holt-Winters model parameters for forecasting the CPI of East Nusa Tenggara (NTT) Province. Using monthly data from January 2021 to December 2025, the research evaluates two primary approaches: conventional OLS based Holt-Winters models and the MLE based Error, Trend, and Seasonal (ETS) framework. Model performance was assessed using the Mean Absolute Percentage Error (MAPE). The results demonstrate that the MLE based approach significantly outperforms OLS; the multiplicative ETS model achieved the lowest MAPE of 0.57%, proving far more accurate than the OLS based Holt-Winters models, which yielded error rates exceeding 50%. A 12-month forecast for 2026 projects NTT CPI to increase moderately from 107.38 to approximately 109.54, indicating controlled inflationary pressure. This study affirms the superiority of the MLE approach in generating precise parameters for economic data exhibiting seasonal patterns.
Optimasi Vehicle Routing Problem pada Distribusi Tabung LPG Menggunakan Metode Ant Colony Optimization Simamora, Devitasari; Lubis, Riri Syafitri; Rahayu, Sri Ulfa
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.37481

Abstract

Inefficient distribution can increase operational costs; therefore, determining optimal routes is essential to support an efficient distribution process. This problem can be formulated as a Vehicle Routing Problem (VRP), which concerns optimizing vehicle routes from a depot to multiple destinations with minimum travel distance. This study aims to optimize the distribution route of LPG cylinders at PT Jaya Sari Artha by considering 12 distribution points. The method used is Ant Colony Optimization (ACO), a heuristic algorithm inspired by the foraging behavior of ants in finding the shortest path. The data used consist of actual travel distances between distribution points obtained from Google Maps. The results show that the implementation of ACO in the VRP model produces a distribution route with a total distance of 117.40 km, shorter than the company’s initial route of 134.50 km. Thus, a distance saving of 17.10 km or 12.72% was achieved. These findings indicate that the ACO method is effective in solving VRP and improving the efficiency of LPG cylinder distribution in a real-world case.
Dynamic Analysis of Modified Leslie-Gower the Predator-Prey Model with Fear Effect, Additional Food, and Prey Refuge Putri, Hanifa Febriana; Savitri, Dian
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.37804

Abstract

This study discusses a Leslie–Gower prey-predator model incorporating three behavioral mechanisms: the fear effect on prey, additional food for predators, and prey refuge, with predation rate of predators using the Holling II response function. The objective of this research is to analyze the system dynamics through stability analysis of equilibrium points and the bifurcation associated with the predator attack rate parameter. The analytical results indicate that the model admits five equilibrium points, namely the extinction of both populations (E1), prey extinction (E2), predator extinction (E3), and two coexistence equilibrium points (E4 and E5), where the existence of the interior equilibrium points depends on the values of the system parameters. The prey extinction equilibrium point and the coexistence equilibrium points are asymptotically stable under certain conditions. Computational validation was performed through numerical simulations. Furthermore, variations in the predator attack rate parameter reveal the presence of bistability as well as transcritical and saddle-node bifurcations that lead to changes in the stability of the equilibrium points.

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