cover
Article Per Year (5 Year)
All
Home Page
OAI Link
Editorial Team
Contact
Reviewer
Google Scholar
Contact Name
Resmawan
Contact Email
resmawan@ung.ac.id
Phone
+6285255230451
Journal Mail Official
euler@ung.ac.id
Editorial Address
Department of Mathematics, 3rd Floor Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo Jl. Prof. Dr. Ing. B. J. Habibie, Tilongkabila, Kabupaten Bone Bolango 96119, Gorontalo, Indonesia
Location
Kota gorontalo,
Gorontalo
INDONESIA
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 21 Documents
 1   2   3 
Search results for , issue "Volume 14 Issue 1 April 2026" : 21 Documents clear
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.
Pemodelan Graf Berarah Berbobot untuk Optimasi Penentuan Rute Terpendek Antar Kampus Polimarin Berbasis Algoritma Dijkstra Ariyani, Helena Devi; Nafillah, Khoirotun; Nindita, Kirtyana; Ngatmin, Ngatmin; Rahayu, Sri Tutie
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.v14i1.37524

Abstract

The mobility of academicians between the two geographically separated campuses of the Indonesian Maritime State Polytechnic (Polimarin), namely Campus 1 Ungaran and Campus 2 Bendan Duwur Semarang, creates travel efficiency issues due to numerous unmeasured route alternatives. This study aims to model the inter-campus road network as a weighted directed graph and apply the Dijkstra algorithm to determine the shortest route accurately and verifiably. The research employs an applied computational approach using actual distance data obtained from Google Maps (driving mode), collected on August 22, 2024, at 09:00 WIB to represent traffic conditions at that time. The process includes node identification (strategic locations), edge formation (connecting road segments), and weight assignment based on actual distances, resulting in a graph with 9 nodes and 10 edges. The iteration process is conducted in 8 steps by evaluating the minimum accumulated weight at each stage. The results indicate that the shortest path is A → B → E → G → H → I, passing through Jl. PTP Ngobo, Jl. Diponegoro–Jl. Slamet Riyadi, Jl. Moh. Yamin–Jl. Ahmad Yani, and Jl. Gatot Subroto, with a total distance of 25.80 km out of 11 possible routes. These findings demonstrate that the Dijkstra algorithm is effective for route optimization by eliminating inefficient paths through cumulative weight evaluation. Validation is performed by comparing the algorithm’s results with Google Maps recommendations based on travel distance. However, this study is limited to static data, and further development is required through the integration of dynamic traffic data.
Optimasi Waktu Pengantaran Barang melalui Model Penugasan Kurir dengan Metode Hungarian Termodifikasi pada Data Tidak Seimbang Riskiani, Riskiani; Busrah, Zulfiqar
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.v14i1.37647

Abstract

This study aims to apply the Hungarian method to the assignment problem in determining the allocation of couriers in the case of delivering goods at PT. Shopee Express Soreang Kota Parepare Hub. The Hungarian method is used to determine the optimal allocation of couriers based on the efficiency of the delivery time of goods so that the total distribution time can be minimized. In its implementation, adjustments were made to the procedures of the Hungarian method to accommodate unbalanced data conditions. Validation of assignment results is carried out using Program for Operations Management-Quantitative Methods (POM-QM) software for Windows to ensure that the solutions obtained through manual calculations match the system's computational results and actually produce optimal values. The results showed that the total average delivery time before optimization of 53.45 minutes could be reduced to 41.80 minutes after the application of the Hungarian method, resulting in a time efficiency of 11.65 minutes. Validation using POM-QM for Windows shows results consistent with manual calculations. Thus, the Hungarian method has proven to be effective in improving the efficiency of courier assignments and minimizing the delivery time of goods.
Comparative Analysis of the Capital Asset Pricing Model and Arbitrage Pricing Theory in Estimating Expected Stock Returns in the IDX BUMN20 Index Alfariz, Febrant; Sulistianingsih, Evy; Satyahadewi, Neva
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.v14i1.37760

Abstract

This study examines the comparative performance of the Capital Asset Pricing Model (CAPM) and Arbitrage Pricing Theory (APT) in estimating expected stock returns within the IDX BUMN20 Index. The study is motivated by the ongoing debate regarding the empirical validity of single-factor and multifactor asset pricing models, particularly in emerging markets such as Indonesia. While prior studies provide mixed evidence, limited research has focused specifically on state-owned enterprise indices, which exhibit distinct risk characteristics. Using monthly stock price data, this study estimates expected returns under both models and evaluates their performance using Mean Absolute Deviation (MAD), which measures the average deviation between estimated and realized returns. In the APT framework, factor sensitivities are estimated using a multifactor regression approach, incorporating macroeconomic variables as systematic risk factors. This allows a more detailed assessment of how multiple sources of risk influence return estimation. The results indicate that the CAPM demonstrates relatively better estimation performance, as reflected by lower MAD values compared to the APT. However, the APT provides additional insights into the role of multiple risk factors, suggesting its relevance in capturing more complex market dynamics. These findings highlight that while simpler models may perform more consistently in certain contexts, multifactor approaches remain valuable for understanding broader sources of systematic risk. The study contributes to the asset pricing literature by providing empirical evidence from the IDX BUMN20 Index and offering a more nuanced comparison between single-factor and multifactor models in an emerging market setting.
Stability, Sensitivity, and Bifurcation Analysis of a Rice–Pest Interaction Model Padilah, Tesa Nur; Maulana, Iqbal
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.v14i1.37529

Abstract

This study develops a five-dimensional mathematical model describing the interaction between rice and four major pests: rice stem borer, rat, brown planthopper, and rice bug. The existence and local stability of several equilibrium points are analyzed using linearization and the Routh–Hurwitz criterion. In addition, the global stability of the pest-free equilibrium point is established using Lyapunov’s direct method and LaSalle’s Invariance Principle. The results show that the pest-free equilibrium is globally asymptotically stable under certain threshold conditions related to the interaction and mortality parameters. Furthermore, a transcritical bifurcation is identified, which determines the transition between pest extinction and coexistence. Sensitivity analysis indicates that the rice bug parameters significantly influence the rice population, with proportional effects on the equilibrium state. Numerical simulations are performed to support the analytical results, including the dynamic behavior around the bifurcation threshold and the sensitivity of the rice population with respect to key parameters. The results highlight the importance of controlling pest interaction rates and increasing natural mortality to maintain the stability of the rice population.
Pendekatan Hybrid VARIMA–ANN untuk Peramalan Multivariat Data Cuaca Bulanan di Provinsi Gorontalo Ali, Nur Anggraini T.; Wungguli, Djihad; Hasan, Isran K.
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.v14i1.37513

Abstract

Multivariate time series forecasting is essential for understanding the interrelationships among weather parameters. This study aims to develop a multivariate forecasting model using a hybrid Vector Autoregressive Integrated Moving Average (VARIMA)–Artificial Neural Network (ANN) approach with the backpropagation algorithm, applied to weather data from Gorontalo Province over the 2015–2023 period, including air temperature, humidity, and wind speed. The data were divided into training data (2015–2021) and testing data (2022–2023). The VARIMA model was employed to capture the linear component, while the residuals from the VARIMA model were subsequently modeled using ANN to capture nonlinear patterns. The order of the VARIMA model was determined based on the smallest Akaike Information Criterion (AIC) value, while model performance was evaluated using Mean Absolute Percentage Error (MAPE). The results indicate that the best-performing model is VARIMA(5,1,1)–ANN(18,9,3), with MAPE values of 1.32% for air temperature, 20.54% for humidity, and 21.96% for wind speed. These findings suggest that the hybrid VARIMA–ANN approach provides good forecasting performance and has the potential to serve as an alternative method for multivariate weather forecasting.   
The Effect of PBL Integrated Education for Sustainable Development on Students' Mathematical Communication and Problem Solving Skills Puput, Puput; Yani T, Ahmad; Siregar, Nurfadilah; Verminus, Verminus
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.v14i1.37346

Abstract

This research adopted a pretest–posttest control group experimental design. The primary objective was to investigate the impact of implementing Problem-Based Learning (PBL) integrated with the Education for Sustainable Development (ESD) approach on students’ mathematical problem-solving abilities and mathematical communication skills within the context of matrix learning. The population consisted of all 11th-grade students at SMAN 8 Pontianak (N=280), with two classes selected through probability sampling as the experimental and control groups. Data were collected using essay tests, observations, and documentation, then analyzed using independent samples t-tests, Mann-Whitney tests, and effect size analyses. The findings indicated statistically significant differences between the experimental and control groups (p0.05). Specifically, the experimental group achieved a mean post-test score 20.21% higher than the control group in problem-solving and 36.41% higher in mathematical communication. Strong effect sizes (d=1.84 and r=1.34) further demonstrate that ESD-oriented PBL substantially improved students’ competencies compared to conventional methods.
Comparative Analysis of Grey GM(1,1) and Grey Verhulst Models for Forecasting Electricity Consumption in Indonesia Khoeriyah, Indri Noer; Kartikasari, Mujiati Dwi
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.v14i1.37710

Abstract

Electricity energy demand in Indonesia continues to increase in line with economic development, technological advancement, and population growth. This condition necessitates appropriate energy planning to ensure a stable electricity supply. Electricity consumption forecasting is required to predict future demand and to serve as a basis for formulating sustainable energy policies. However, studies comparing different grey forecasting models for Indonesia’s electricity consumption remain limited, particularly in identifying the most suitable model for its growth characteristics. This study aims to compare the performance of two models within Grey System Theory, namely the Grey Model GM(1,1) and the Grey Verhulst model, in forecasting electricity consumption in Indonesia. The data used consist of annual electricity consumption data for the period 2000–2024, obtained from the official websites of Statistics Indonesia (BPS) and the Ministry of Energy and Mineral Resources (ESDM). The analysis stages include model construction, parameter estimation, forecasting, and accuracy evaluation using the Root Mean Square Error (RMSE), Mean Absolute Error (MAE), and Mean Absolute Percentage Error (MAPE). The results indicate that the Grey Verhulst model outperforms the GM(1,1) model, with an RMSE of 10,955.97, an MAE of 9,233.64, and a MAPE of 5%, whereas the GM(1,1) model yields an RMSE of 23,562.39, an MAE of 15,151.57, and a MAPE of 9%. These results suggest that the Grey Verhulst model provides a better fit for the observed data, which exhibits nonlinear growth behavior with a tendency toward saturation. The best-performing model, namely the Grey Verhulst model, produces a forecast of electricity consumption for the year 2025 of 388,025 GWh. This result is expected to serve as a reference for national electricity policy planning.
(α, β)-Derivation on Matrix Ring Mn(R) Azzahra, Dania; Fitriani, Fitriani; Faisol, Ahmad
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.v14i1.37789

Abstract

In ring theory, a derivation is an additive mapping d:R→R satisfying Leibniz’s rule. A well-known generalization of this notion is the (α,β)-derivation, defined with respect to two ring endomorphisms α and β. In this paper, we study (α,β)-derivations on the matrix ring Mₙ(R) and several of its subrings, including scalar matrices, diagonal matrices, and upper and lower triangular matrix rings. It is shown that an (α,β)-derivation on the base ring RRR induces an (α′,β′)-derivation on these matrix subrings via entrywise extension, preserving their structural properties. Furthermore, we examine certain properties of (α,β)-derivations on the direct product ring R×R. In particular, we show that the sum of two (α,β)-derivations does not necessarily form an (α,β)-derivation, which is demonstrated through a counterexample.

Page 2 of 3 | Total Record : 21

 1   2   3 

Filter by Year

2026 2026


Reset
Filter By Issues
All Issue Volume 14 Issue 1 April 2026 Volume 13 Issue 3 December 2025 Volume 13 Issue 2 August 2025 Volume 13 Issue 1 April 2025 Volume 12 Issue 2 December 2024 EULER: Volume 12 Issue 1 June 2024 EULER: Volume 11 Issue 2 December 2023 EULER: Volume 11 Issue 1 June 2023 EULER: Volume 10 Issue 2 December 2022 EULER: Volume 10 Issue 1 June 2022 EULER: Volume 9 Issue 2 December 2021 EULER: Volume 9 Issue 1 June 2021 EULER: Volume 8 Issue 2 December 2020 EULER: Volume 8 Issue 1 June 2020 EULER: Volume 7 Issue 2 December 2019 EULER: Volume 7 Issue 1 June 2019 More Issue