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Elvina Herawati
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Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Sumatera Utara Building 1st, Floor 2nd, Jalan Bioteknologi No. 1, Kampus USU Padang Bulan Medan 20155, Indonesia
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Journal of Research in Mathematics Trends and Technology
Published by Universitas Sumatera Utara
ISSN : -     EISSN : 26561514     DOI : https://doi.org/10.32734
Core Subject : Science, Education,
Decision Sciences, Operations Research & Management Mathematics
JoRMTT is an international blind peer-review journal dedicated to interchange for the results of research in mathematical sciences and related fields. The journal publishes papers in fundamental theory, experiments and simulation, as well as applications, with a systematic proposed method, sufficient review on previous works, expanded discussion and concise conclusion. As our commitment to the mathematics trends and technology, the JoRMTT follows the open access policy that allows the published articles freely available online without any subscription. The journal scopes include (but not limited to) the followings: - Numerical Analysis - Mathematical Physics - Probabiliy Theory and Stochastic Processes - Quantitative Finance - Algebra - Mathematics Education - Analysis - Dynamical System and Differential Equations - Geometry and Topology - Operator Theory - Combinatorics and Graph Theory - Mathematical Computer Sciences - Optimization and Approximation Theory - Game Theory
Arjuna Subject : Matematika - Matematika Terapan
Articles 70 Documents
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The L(2,1) Labeling of Windmill, Binomial Tree, Pan, Gear, Prism, Helm, Lilly, Hurdle, and Key Graph Lisa Damayanti Ningrum; Noval Putra Ramadhani; Fidelis Nofertinus Zai
Journal of Research in Mathematics Trends and Technology Vol. 7 No. 2 (2025): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v7i2.20040

Abstract

Let be a graph. Let whole number-valued function such that, and are two adjacent vertices in then if and if The function is called labeling. The labeling number of , called is the smallest number for label of . In this research, we will further discuss the labeling of windmill, binomial tree, pan, gear, prism, helm, lilly, hurdle, and key graph.
Efficiency of Environmental Performance Measurement Using Data Envelopment Analysis (DEA) With Fuzzy Approach: English Nurul Nadhila; Tulus; Mardiningsih
Journal of Research in Mathematics Trends and Technology Vol. 7 No. 2 (2025): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v7i2.21717

Abstract

This study aims to analyze and measure environmental performance efficiency in residential areas in Medan City using the Data Envelopment Analysis (DEA) method combined with a fuzzy approach. Environmental performance is measured based on relevant inputs and outputs, where the data used are secondary data obtained from previous research reports. Fuzzification is applied to address uncertainty in the data by converting input and output values into Triangular Fuzzy Numbers (TFN). The results of the study show that out of the 4 Decision Making Units (DMUs) studied without using the fuzzy approach, only the Helvetia housing complex achieved 100% efficiency. Meanwhile, the efficiency values for Tuntungan, Martubung, and Johor housing estates were 85.92%, 88.69%, and 94.87%, respectively. When the fuzzy approach was applied, the efficiency values of the Johor and Helvetia housing estates reached 100% efficiency, while the Tuntungan and Martubung housing estates had an efficiency of 78.22%, indicating inefficiency. This inefficiency is caused by excessive use of drainage inputs, indicating that these housing complexes are unable to produce environmental outputs commensurate with the inputs used. This study recommends improving the quality and quantity of environmental management and cleanliness, as well as the availability and quality of green spaces, to enhance environmental efficiency in housing. The findings of this study provide important insights into the efficiency of environmental performance measurement and highlight opportunities for improvement in environmental management within housing.
Adjusting Anomalies in International Tourist Arrivals to North Sumatra During the Peak COVID-19 Period (April 2020 to June 2022) to Enhance the Validity of Time Series Modeling Thaswin Eddy; Open Darnius
Journal of Research in Mathematics Trends and Technology Vol. 7 No. 2 (2025): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v7i2.21718

Abstract

The feasibility of time series modeling is significantly influenced by both the availability and the structural patterns of the data. Regular and continuous data collection over time is essential for constructing reliable time series models, particularly for forecasting purposes. Generally, a minimum of 50 time series data points is considered ideal to ensure the robustness and predictive power of such models. However, the presence of extreme fluctuations—such as sharp spikes or drops—can severely affect the integrity of the model. In the context of international tourist arrivals to North Sumatra during the peak period of the COVID-19 pandemic (April 2020 to June 2022), substantial data anomalies were observed. The results of modifying these anomalies indicate that increasing the number of adjusted data points during this period leads to a greater number of feasible time series models suitable for predictive analysis.
Analysis of Rainfall Transition Probability Using Markov Chain Method Suhendri Pasaribu; Saib Suwilo; Herman Mawengkang
Journal of Research in Mathematics Trends and Technology Vol. 7 No. 2 (2025): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v7i2.21719

Abstract

This research applies the Markov Chain model to examine daily rainfall data in Medan City. Markov chain is one of the methods used for forecasting in various fields, such as economics, industry, and climate. This research uses secondary data of daily rainfall intensity from the BMKG Station of the Center for Meteorology, Climatology and Geophysics Region I. The purpose of this research is to determine the transition probability (probability of transition). This study aims to determine the chance of transition (displacement) of daily rainfall intensity, There are four conditions of rainfall intensity that are categorized, namely no rain, light rain, moderate rain, and heavy rain. The Markov Chain method used is the Champman- Kolmogorov Equation and the steady state equation. The fixed probability of not raining is 59.16%, the fixed probability of light rain is 17.67%, the fixed probability of moderate rain is 16.28%, and the fixed probability of heavy rain is 6.86%.
Fuzzy Logic in Education: Profile of Students’ Readiness to Prepare for Test-Based National Selection in Study Centers Dwi Aldi Hidayatulloh; Sikky El Walida; Sandha Soemantri; Abdur Rohim
Journal of Research in Mathematics Trends and Technology Vol. 7 No. 2 (2025): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v7i2.22107

Abstract

Test-Based National Selection demands students' readiness not only in material mastery, but also in critical thinking skills and high-level problem solving. Tutoring institutions have become a popular choice to improve students' readiness to face the selection, but evaluating students' readiness objectively and adaptively is still a challenge. This research develops a decision support system model based on Mamdani type fuzzy inference system to evaluate students' readiness for Test-Based National Selection. Two main indicators are used as linguistic input variables, namely study frequency and try out results. The modeling process is carried out qualitatively with the stages of fuzzification, IF-THEN rule base formulation, Mamdani inference, and defuzzification using the centroid method. Data is processed with the help of Microsoft Excel as a fuzzy logic processing tool. The results of the implementation on 30 students showed that the system was able to classify the level of readiness into three categories: not ready, moderately ready, and ready, with high precision and flexibility to data uncertainty. The findings suggest that fuzzy models can be used as adaptive and contextualized evaluation tools in tutoring environments, and support data-driven instructional decision-making.
Forecast Analysis Towards Golden Indonesia 2045 Switamy Angnitha Purba; Ferdinan Rinaldo Tampubolon; Anna Angela Sitinjak; Justin Eduardo Simarmata; Debora Exaudi Sirait
Journal of Research in Mathematics Trends and Technology Vol. 8 No. 1 (2026): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v8i1.22273

Abstract

The year 2045 marks 100 years since Indonesia gained its independence. The government's vision for that year is Golden Indonesia 2045. In the final draft of the 2025-2045 RPJPN of the Ministry of National Development Planning / Bappenas there are five main targets of the 2045 Golden Indonesia Vision. In this article, a forecast is conducted using the Least Square method to determine whether Indonesia can achieve this vision by 2045. There are 8 aspects that will be forecasted which are considered to represent the five targets of Golden Indonesia 2045. The eight aspects are Human Development Index; Information and Communication Technology Development Index; Per Capita Income Data; Poverty Rate; Open Unemployment Rate; National Road Stability; Provincial Road Stability; and District and City Road Sustainability.
Numerical Simulation of Effective Viscosity Distribution of Power-Law Engine Oil in Piston–Cylinder Lubrication Under High Shear Conditions Andre Ronaldo Situmorang; Tulus
Journal of Research in Mathematics Trends and Technology Vol. 8 No. 1 (2026): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v8i1.24922

Abstract

This study investigates the behavior of engine oil modeled as a non-Newtonian pseudoplastic fluid using the Power-Law equation under high operational conditions. The computational domain represents the lubricating oil film between the piston and cylinder wall. The governing equations include incompressible continuity and Navier–Stokes equa- tions coupled with a shear-rate-dependent viscosity model. Results show that shear rate con- centrates near the piston surface, reaching the order of 107 s−1 due to strong velocity gradients. As a consequence, effective viscosity decreases significantly in high shear regions, confirming shear-thinning behavior. The viscosity reduction directly affects the hydrodynamic pressure distribution while maintaining stable lubrication performance. These findings highlight the importance of incorporating shear-dependent viscosity to accurately predict lubrication characteristics in piston–cylinder systems operating at elevated shear conditions.
Stochastic Interest Rate Models in Pension Fund Valuation: A Comparative Study of Vasicek and Cox-Ingersoll-Ross under the Aggregate Cost Method Angel Tiovanny; Maulida Yanti; Citra Dewi Hasibuan
Journal of Research in Mathematics Trends and Technology Vol. 8 No. 1 (2026): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v8i1.22753

Abstract

This research aims to implement the Vasicek and Cox-Ingersoll-Ross (CIR) interest rate models in pension fund calculations using the Aggregate Cost method. These interest rate models are utilized to manage the uncertainty of interest rates influenced by inflation, providing a more realistic projection of future pension contributions. The analyzed data includes the Indonesian Mortality Table IV and historical BI-Rate interest rate data from January 2015 to December 2024. Parameter estimation for the Vasicek and CIR models is conducted using the Maximum Likelihood Estimation (MLE) method, and long-term interest rate simulations are performed using the Milstein method. The findings indicate that the Vasicek model has a MAPE of 14.97%, while the CIR model has a MAPE of 19.06%. Pension fund calculations are conducted for participants with starting ages of 25, 30, and 35 years, revealing that the use of Vasicek and CIR interest rate models yields higher present value of pension benefit compared to a constant interest rate. Additionally, normal contributions for younger participants tend to be lower due to longer working periods. The study concludes that the Vasicek model is more accurate in estimating interest rates for pension fund calculations.
Predicting Career Transition of Indonesian Badminton Players Using Random Forest and XGBoost Olive Khoirul Lukluil Maknun Al Faishol; Sischa Wahyuning Tyas; Mohammad Al Hafidz
Journal of Research in Mathematics Trends and Technology Vol. 8 No. 1 (2026): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v8i1.25383

Abstract

Research on junior-to-senior career transitions in badminton remains limited, particularly in quantifying conversion rates and applying machine learning for predicting transition success. This study analyzes medal records of 147 Indonesian players across four junior tournaments (BWF World Junior Championships, Asian Junior Championships, Suhandinata Cup, Youth Olympic Games) and two senior tournaments (BWF World Championships, Olympic Games) spanning 1992–2024. Descriptive analysis reveals an overall junior-to-senior conversion rate of 29.3%, with significant variation across medal count groups (χ² = 36.84, p < 0.001). Players with four or more junior medals achieve 51.7% conversion rate compared to 0% for single-medal winners. Random Forest and XGBoost classifiers, trained with SMOTE oversampling and evaluated via repeated stratified cross-validation (5-fold, 10 repeats), achieve 90.8% and 88.8% accuracy respectively, substantially outperforming a logistic regression baseline (83.6%). Junior gold medal count and BWF World Junior participation emerge as the strongest predictors. A sensitivity analysis excluding recent junior medalists confirms the robustness of these findings. These results provide empirical evidence for optimizing talent identification in Indonesian badminton development programs. Keyword: Badminton, Career Transition, Conversion Rate, Random Forest, Talent Identification, XGBoost
A Negative Binomial Regression Approach to Address Overdispersion in the Analysis of Maternal Mortality in Indonesia Sischa Wahyuning Tyas; Muhammad Nasrudin; Awang Putra Sembada; Robiansyah Putra
Journal of Research in Mathematics Trends and Technology Vol. 8 No. 1 (2026): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v8i1.25387

Abstract

Maternal Mortality Rate (MMR) is one of the major indicators utilized for measuring the performance of public health systems. In Indonesia, there is a considerable level of MMR as shown by its MMR value of 189 per 100,000 live births in 2023 which is far from reaching its SDG target. This paper seeks to determine factors that influence maternal mortality in Indonesia .This research uses MMR as the response variable along with ten independent variables as predictors. The predictors consist of health-related factors and socio-economic conditions. The process starts with performing a descriptive statistic followed by multicollinearity test using Variance Inflation Factor (VIF). Poisson regression is initially applied and overdispersion was detected. Thus, Negative Binomial regression should be used as a better alternative. Selection of models is performed using AIC. Based on the result, factors that influence maternal mortality in Indonesia are percentages of medical personnel, proper sanitation, deliveries in health facilities, and T2 immunization. The optimal Negative Binomial Regression model has an AIC value of 416.0637.

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