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Aulia Oktavia
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Journal of Applied Mathematics and Modelling
Published by Cendekiawan Inovatif dan Berkelanjutan Nusantara
ISSN : -     EISSN : 30905524     DOI : https://doi.org/10.64570/jamm.v1i1.1
Core Subject : Science, Education, Social, Engineering,
Computer Science & IT Control & Systems Engineering Engineering Environmental Science Mathematics
Aim: The Journal of Applied Mathematics and Modelling (JAMM) aims to advance the frontiers of applied mathematics by publishing high-quality research that bridges theoretical developments with real-world applications. We seek to foster innovation in mathematical modeling, computational techniques, and analytical methods that address complex challenges across diverse scientific and industrial domains. Our mission is to provide a platform for interdisciplinary collaboration, promoting mathematical approaches that drive progress across science, engineering, technology, and decision-making. Scope: 1. Mathematical Modeling and Computational Methods – Development and analysis of deterministic, stochastic, discrete, and continuous models and numerical techniques for solving complex mathematical problems. 2. Optimization and Decision Science – Research in mathematical optimization, operations research, and decision-making models with engineering, economics, logistics, and artificial intelligence applications. 3. Differential Equations and Dynamical Systems – Theoretical and computational studies on ordinary, partial, and fractional differential equations, stability analysis, and nonlinear dynamical systems across scientific disciplines. 4. Data-Driven and Machine Learning Models – Integrating mathematical modeling with artificial intelligence, big data analytics, and statistical learning to enhance predictive modeling and intelligent decision-making. 5. Network Science and Complex Systems – Analysis of interconnected systems, network structures, and emergent behaviors in epidemiology, finance, transportation, and social sciences.
Arjuna Subject : Matematika - Matematika Terapan
Articles 19 Documents
 1   2 
Forecasting Customer Growth at PT PLN (Persero) ULP Lakawan Using Linear Regression Ramanda Asyari; Ayi Oktra Maulana; Ikhlas; Adha Rizki; Muhammad Ridho
Journal of Applied Mathematics and Modelling Vol. 1 No. 2 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i2.45

Abstract

Electrical energy is a fundamental necessity for the population. PT PLN (Persero) ULP Lakawan is a state-owned enterprise mandated by the government to manage the national power supply. The rising public demand for electricity has led to a significant increase in the potential number of customers. Consequently, forecasting the number of customers for the year 2026 is essential as a basis for strategic planning and decision making to ensure an adequate and reliable electricity supply. This study utilizes historical customer data from 2016 to 2025 to capture trend of customer growth st PT PLN (Persero) ULP Lakawan. By employing a Simple Linear Regression analysis, conducted through both manual Excel calculations and data analytics tools, the study predicts that the number of customers in 2026 will reach 56,632. The model demonstrated high precision with a P-Value of 0. Furthermore, the analysis revealed a substantial impact with an R-Square value of 98.73% and an exceptionally strong correlation (Multiple R) of 0.99. This research indicates that the Simple Linear Regression method is highly accurate for predicting customer growth.
Optimizing The Production Time of The Max-Plus Time Invariant (SLMI) Linier Algebraic System in The Production of Naziza's Potato Donuts in Padang City Alda Fuadya; Maya Sari Sahrul
Journal of Applied Mathematics and Modelling Vol. 1 No. 2 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i2.47

Abstract

In the era of globalization, business development is increasingly high, marked by the emergence of many MSMEs. With the emergence of so many MSMEs, the demands faced by MSME owners are getting higher, which has resulted in increasingly tighter and more competitive competition in the business world. One of them is MSMEs in the culinary sector, Naziza’s Potato Donuts MSME is one of the MSMEs operating in the culinary sector, which is also facing this problem. Naziza’s Potato Donut MSMEs must take various steps to survive, one of which is by improving service. The service that can be provided is fulfilling product orders on time and in the appropriate quantity. Based on this problem, Max-Plus Algebra is expected to be a way to optimize production time in the Naziza’s Potato Donut production system, so that production time can be used effectively and efficiently. Based on the Max-Plus Algebra method, the optimal time for input (entering materials) and time for output (completion of production time) is obtained. So, from the Max-Plus Algebra calculations, the optimal time for MSME production of Naziza’s Potato Donuts is obtained 4 times.
Analysis of the Padang City’s Labor Force with Least Square Method Ade Salma Rahayu; mifttahul rezqy; Muhammad Rifqi Hananda; Muhammad Wahyu Alrasyid
Journal of Applied Mathematics and Modelling Vol. 1 No. 2 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i2.50

Abstract

The labor force is an important indicator in the labor sector that reflects the number of working age people participating in economic activities, so its changes from year to year need to be analyzed quantitatively to support regional development planning. Padang City as the center of economic activity in West Sumatra Province shows relatively stable labor force development but still fluctuates, so a forecasting method is needed that is able to provide an accurate picture of the development of the labor force in the coming period. This study aims to forecast the number of Padang City workforce in 2026 using the Least Square method based on historical data for the 2017–2025 period. The Least Square method is used because it is able to form the best linear trend line with the principle of minimizing the number of squares of the error between the actual data and the value of the forecast result. The accuracy level of the forecast results was evaluated using Mean Absolute Percentage Error (MAPE). The results of the study show that the number of Padang City workforce in 2026 is projected to reach around 509,359 people with a MAPE value of 1.91%, which indicates that the Least Square method has an excellent level of forecasting accuracy and is suitable for use as a basis for data-based employment policy planning.
Mapping Evacuation Routes During a Tsunami Using the A* Algorithm Suchyan Hanafi; Ilham Dangu Rianjaya; Lilis Harianti Hasibuan
Journal of Applied Mathematics and Modelling Vol. 1 No. 2 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i2.55

Abstract

As an archipelago, West Sumatra is prone to tsunamis due to its location between three major tectonic plates. One of the tsunami-prone areas in West Sumatra province is Padang City, specifically Lubuk Buaya Subdistrict, because it borders directly on the sea, an active underwater volcano, and earthquakes on the seabed. To address this issue, the A* algorithm was applied to find evacuation routes from Pasir Jambak. The data used in this study were secondary data in the form of coordinate points and travel distances obtained from Google Earth, which were used in a weighted graph. The results of the study were obtained the shortest evacuation route from the origin point to the nearest destination point with a total distance of 2,751 m (2.7 km).
Graph Coloring Application in Course Scheduling Using the Welch-Powell Algorithm (Case Study: Mathematics Study Program, Dharma Andalas University) Salsabilla Mirza; Iswan Rina; Radhiatul Husna
Journal of Applied Mathematics and Modelling Vol. 2 No. 1 (2026): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v2i1.58

Abstract

Course scheduling is a crucial and routine academic activity carried out by universities prior to the commencement of a new academic year, requiring precise arrangements to avoid timing conflicts for both lecturers and students. The course scheduling for the odd semester of the 2024/2025 academic year at the Mathematics Study Program of Dharma Andalas University (UNIDHA) faces high complexity in manually allocating various combinations of lecturers, classes, and courses. This study aims to optimize the scheduling system by utilizing the concept of graph coloring, specifically employing the Welch-Powell Algorithm. The research method involves transforming the lecturer's teaching assignment data into an undirected graph model. Course variations are modeled as 21 vertices, while potential scheduling conflicts due to identical lecturers or student groups are represented as edges. The Welch-Powell Algorithm is then applied by sorting the vertices based on the largest degree ordering to color them progressively. The results indicate that this graph representation successfully yields a chromatic number of x(G) = 6. Consequently, from a total of 9 lecturers teaching 21 courses, the entire academic schedule is optimally distributed into 6 distinct color groups without any conflicts. These color groups are successfully implemented into 6 academic working days (Monday to Saturday) with precise time-slot allocations corresponding to the respective credit semester units (SKS). The study concludes that the application of graph coloring using the Welch-Powell Algorithm is highly effective, objective, and systematic in resolving course scheduling conflicts within the Mathematics Study Program at UNIDHA.
Application of the Mamdani Fuzzy Logic Method for Calculating Heavy Equipment Damage Insurance Claims at PT Semen Padang Meilianti; Nurweni Putri
Journal of Applied Mathematics and Modelling Vol. 2 No. 1 (2026): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v2i1.59

Abstract

Frequent damage to PT Semen Padang heavy equipment poses a significant operational risk and requires insurance claims. Insuranse claims are crucial for minimizing losses withing PT Semen Padang. The amount of insurance claims for heavy equipment damage can be determined based on the level of damage, frequency of occurrence, and age of the equipment. However, calculating the amount of insurance claims is often sebjective and uncertain. Therefore, this study aims to apply the fuzzy logic of the Mamdani method to calculate insurance claims for heavy equipment damage at PT Semen Padang and generate more objective and accurate decisions. The Mamdani method is applied because it is capable of handling uncertain data through fuzzyfication, implied function application, rule composition, and defuzzyfication using the centroid method. The accuracy of the Mamdani method can be seen using the Mean Absolute Percentage Error (MAPE) method. The results of this study concluded that the Mamdani menthod can calculate insurance claims more accurately with a MAPE 0,55%.
Transient Response Analysis of a Series RLC Circuit Using the Laplace Transform and MATLAB Validation Muhammad Wanda; Rolan Abdiansyah Depri; Talita Dwi Yanti; Ragil Pernanda; Yusuf Saputra
Journal of Applied Mathematics and Modelling Vol. 2 No. 1 (2026): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

The transient response analysis of electrical circuits is fundamental in electrical engineering because it provides insights into the dynamic behavior of circuit components during switching and energy transfer processes. Among various analytical techniques, the Laplace Transform offers an efficient approach for converting time-domain differential equations into algebraic equations in the complex-frequency domain, thereby simplifying the analysis of second-order systems. This study aims to analyze the transient response of a series resistor–inductor–capacitor (RLC) circuit using the Laplace Transform and to validate the analytical model through MATLAB simulation. A quantitative analytical approach combined with numerical simulation was employed. The mathematical model of the circuit was derived from Kirchhoff’s Voltage Law, transformed into the Laplace domain to obtain the transfer function, and evaluated under a 12-V step input. The resistance parameter was varied from 10 Ω to 80 Ω while the inductance and capacitance were maintained constant to investigate underdamped, critically damped, and overdamped responses. The transient characteristics, including rise time, peak time, maximum overshoot, settling time, and steady-state value, were compared between the analytical solution and the simulation results. The results showed that increasing the resistance significantly reduced oscillation and overshoot while improving system stability. The circuit exhibited the fastest non-oscillatory response when the resistance approached the critical resistance, whereas larger resistance values produced slower overdamped responses. Furthermore, the analytical results agreed closely with the MATLAB simulations, confirming the validity of the developed mathematical model. These findings demonstrate that the integration of the Laplace Transform and numerical simulation provides an effective framework for analyzing second-order electrical systems and serves as a practical learning approach for applied mathematics and electrical engineering education.
Descriptive Statistical Analysis of Population Density by District in Padang City in 2025 Muhammad Irfan Siddiq; Marsya Sahira; Muhammad Arief Pratama; Muhammad Meftahur Fauzan; Luthfi Al Fajri
Journal of Applied Mathematics and Modelling Vol. 2 No. 1 (2026): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v2i1.61

Abstract

Population density is an important demographic indicator in regional development planning because it reflects the level of population concentration in an area and serves as the basis for providing infrastructure and public services. Differences in population density between sub-districts can indicate the existence of unequal population distribution that needs to be studied quantitatively. This study aims to analyze the characteristics of population density by sub-district in Padang City in 2025 using a descriptive statistical approach. This research is a descriptive quantitative study utilizing secondary data sourced from the publication "Padang City in Figures 2026" published by the Padang City Central Statistics Agency. The analysis unit consists of 11 sub-districts in Padang City. Data analysis was performed using Microsoft Excel through the calculation of measures of central tendency which include the mean and median, measures of dispersion consisting of minimum, maximum, range, variance, standard deviation, and coefficient of variation, then the results are presented in the form of tables, bar charts, and boxplots. The results of the study indicate that population density in Padang City has high variations between sub-districts with an average of 4,349 people/km², a median of 4,281 people/km², a standard deviation of approximately 3,320 people/km², and a coefficient of variation of 76.34%, which indicates that the distribution of population density is heterogeneous. Padang Timur Sub-district has the highest population density, while Bungus Teluk Kabung has the lowest density. These findings indicate that the distribution of population in Padang City is still concentrated in the city center area so that information regarding population density characteristics can be the basis for regional development planning, equal distribution of public services, and more targeted policy making.
Numerical Error Comparison of Euler, Heun, and Fourth-Order Runge–Kutta Methods for a SICR Tuberculosis Transmission Model in South Batipuh, West Sumatera Muhimmatul Jannah; Maya Sari Syahrul
Journal of Applied Mathematics and Modelling Vol. 2 No. 1 (2026): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v2i1.63

Abstract

Tuberculosis (TB) remains a major infectious-disease problem and requires quantitative approaches for understanding transmission and treatment dynamics. This study formulates a SICR (Susceptible–Infected–Care–Recovered) compartmental model for TB transmission in South Batipuh District, Tanah Datar Regency, West Sumatra, Indonesia, and compares the numerical accuracy of the Euler, Heun, and fourth-order Runge–Kutta (RK4) methods. Secondary data for 2020–2024 were obtained from population records and TB case records from the local health service. The model consists of susceptible, infected, care, and recovered compartments and is represented by a nonlinear ordinary differential equation system. Model parameters were estimated by curve fitting, and all three numerical schemes were implemented using the same initial conditions and time-step setting. The observed data show that the infected population increased from 69 cases in 2020 to 166 cases in 2023 before decreasing to 132 cases in 2024, while the care and recovered compartments also fluctuated. Numerical simulations reproduce the qualitative dynamics of declining susceptible individuals, an initial increase in infected individuals, a subsequent increase in the care compartment, and growth of the recovered compartment. The average relative errors were 0.10843 for Euler, 0.08342 for Heun, and 0.08317 for RK4. Therefore, RK4 produced the smallest average error and was the most accurate method among the three methods for the studied SICR system. The findings support the use of higher-order numerical integration when accurate approximation of nonlinear TB transmission dynamics is required.

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