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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 8 Documents
 1 
FFT - Based Watermarking for Copyright Protection of Color Image Joshua Febrian Wiranata; Sri Redjeki Pudjaprasetya; Pritta Etriana Putri; Riski Kurniawan
Journal of Applied Mathematics and Modelling Vol. 1 No. 1 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i1.1

Abstract

Watermarks are commonly used by authors to prevent unauthorized copying and to protect their intellectual property. When a watermark is applied to a digital image, it is expected that the watermark will not be visible, and the watermark will retain its good quality when extracted. This paper is focused on one type of color image watermarking method, using the Fast Fourier Transform (FFT) algorithm. In this algorithm, the watermark is embedded in the frequency domain of the image. In this way, our watermark algorithm exhibits good quality and demonstrates strong resistance against common attacks. Here, we experimented with compression, blur, object addition, and noise addition.
Branch and Bound Method in Determing Integer Linier Programming Solutions from UMKM Rendang Nan Lamak, Padang City Alvin Ardiansyah Putra; Nurweni Putri; Iswan Rina; Aulia Oktavia
Journal of Applied Mathematics and Modelling Vol. 1 No. 1 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i1.2

Abstract

After Indonesia was hit by COVID-19 in 2019, it had an impact on the Indonesian economy. Many companies have closed and laid off employees (PHK), so the unemployment rate has increased. This event made people think creatively and innovatively by creating their own businesses to meet their daily needs. This has resulted in the emergence of many micro, small, and medium enterprises (UMKM) from various regions or cities, including the city of Padang. UMKM Rendang Nan Lamak is engaged in the food sector, namely processed rendang dishes. Especially for Rendang Nan Lamak, it serves several variants of rendang dishes, such as beef rendang, fern rendang, lokan rendang, and lokan fern rendang. The purpose of this research is to find out the maximum profit by using the Branch and Bound Method in determining Integer Linear Programming solutions from UMKM Rendang Nan Lamak.
Analysis of the Performance of the Moving Average Method in Forecasting the Increase in the Number of PLN Customers on Batam Island Musfirah Dewi Lumentut; Khalil Rahman; Sarah Michelin Yunita
Journal of Applied Mathematics and Modelling Vol. 1 No. 1 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i1.3

Abstract

Electricity demand is a crucial factor in regional development, requiring accurate forecasting to ensure efficient distribution. This study analyzes the performance of two forecasting methods, Simple Moving Average (SMA) and Weighted Moving Average (WMA), in predicting the increase in PLN customers on Batam Island for the period 2023-2024. The accuracy of these methods was evaluated using Mean Absolute Deviation (MAD), Mean Squared Error (MSE), and Mean Absolute Percent Error (MAPE), and performance indicators. The results indicate that both SMA and WMA provide accurate forecasts, with WMA showing slightly better accuracy due to its ability to assign different weights to past data. Based on the findings, the forecasted number of additional PLN customers in January 2025 using the WMA method is 386. This study demonstrates that the Moving Average method is a viable option for short-term electricity demand forecasting. However, its limitations in handling external factors suggest the need for more advanced forecasting models in future research.
Application of Leslie Matrix in The Calculation of Female Population Prediction in Padang City, Indonesia Rahma Yunita
Journal of Applied Mathematics and Modelling Vol. 1 No. 1 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i1.4

Abstract

The Leslie Matrix is a mathematical tool widely used to model population dynamics based on fertility and survival rates across age classes. This study applies the Leslie Matrix to predict the female population in Padang City using demographic data from Padang Dalam Angka (BPS, 2020-2021). The model incorporates fertility rates, survival probabilities, and age-structured population data to construct a 16x16 Leslie Matrix. The dominant eigenvalue obtained was 0,3183, indicating that the female population in Padang City is projected to decline over time. Predictions show a population decrease from 450,154 in 2021 to 425,875 in 2024. These findings highlight the declining growth trend of the female population in Padang City and suggest the importance of demographic monitoring for urban planning and social policy.
Prediction of Average Rice Prices at the Indonesian Wholesale Level using the Least Squares Method Novia Andriani; Rafqi Maulana; Iman Takdir Nadiroha
Journal of Applied Mathematics and Modelling Vol. 1 No. 1 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i1.5

Abstract

Accurate forecasting of staple commodity prices is critical for economic planning, market stabilization, and food security, particularly in countries like Indonesia, where rice is a dietary mainstay. This study investigates the application of the Least Squares Method (LSM) as a mathematical model for predicting wholesale rice prices in Indonesia, aiming to evaluate its effectiveness and accuracy in a real-world setting. Using monthly price data collected from Statistics Indonesia covering the period from January 2022 to December 2023, the LSM was employed to identify a linear trend equation that could be used for forecasting future prices. The model parameters were calculated based on time-indexed historical data, and the trend equation was used to predict prices for the upcoming 12 months, from January to December 2024. To assess the model’s forecasting accuracy, the Mean Absolute Percentage Error (MAPE) was used as the primary evaluation metric. The analysis revealed a MAPE value of 2%, which indicates a highly accurate prediction according to standard interpretative scales. These results confirm that the Least Squares Method is a valid and practical approach for time-series forecasting of rice prices in Indonesia. The study highlights the potential of LSM as a simple yet effective tool for supporting policy decisions and market interventions. However, it also notes that the linear model may not account for external variables such as seasonal variation, policy shifts, or supply chain disruptions, suggesting that future research could explore multivariate or non-linear approaches for improved forecasting robustness.
Application of Exponential Smoothing Method in Forecasting the Number of Visitors to Kinantan Zoo Bukittinggi, Indonesia Alya Nasyifa Putri; Muhammad Adzan
Journal of Applied Mathematics and Modelling Vol. 1 No. 1 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i1.6

Abstract

Kinantan Zoo Bukittinggi is one of the main tourist attractions in West Sumatra, experiencing fluctuations in visitor numbers due to various factors such as holidays, weather, and regional policies. Accurate visitor forecasting is essential for effective management, resource optimization, and strategic planning. This study aims to apply the Exponential Smoothing method to predict the number of visitors to Kinantan Zoo Bukittinggi. The forecasting model was evaluated using the Mean Absolute Percentage Error (MAPE) to assess its accuracy. Secondary data from the Bukittinggi City Tourism, Youth, and Sports Office covering the years 2012 to 2023 were analyzed. Microsoft Excel, with the Data Analysis and Solver tools, was used to process the data and optimize the smoothing parameter . The initial forecasting results yielded a MAPE value of 21%, indicating a reasonable level of accuracy. Further optimization using Solver reduced the MAPE value to 17%, demonstrating improved prediction reliability. The forecasted number of visitors for 2024 is approximately 937,665. The findings suggest that the Exponential Smoothing method is effective in predicting visitor trends at Kinantan Zoo. These results can assist in planning and decision-making, particularly in enhancing operational efficiency and marketing strategies. Future research may explore alternative forecasting models to further refine prediction accuracy.
Application of the 4th Order Runge Kutta Method in Smoking Dynamics Modelling Dayang Manis; Maya Sari Syahrul
Journal of Applied Mathematics and Modelling Vol. 1 No. 1 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i1.7

Abstract

The dynamics of smoking is a problem that has captured the world's attention both in health and social life issues. In modeling, the rate of change in smoking dynamics, there are four populations that affect each other, namely potential smokers (P), light smokers (S), heavy smokers (T) and smokers who have quit smoking (Q). Two equilibrium points were obtained, namely  which describes the smoking point, and  which describes the non-smoking point. The results of numerical simulations on the model show that the absence of interaction between the potential population of smokers (P) and the population of light smokers (S) results in a decrease in the rate of change in the population of light smokers (S). Meanwhile, the interaction between the potential smoker population (P) and the light smoker population (S) resulted in an increase in the rate of change in the light smoker population (S). So, to limit the growth of the number of light smokers, it is necessary to limit the interaction between the potential population of smokers (P) and the population of light smokers (S).
Applying Finite State Automata to Structural Design of an Automatic Ice Cream Machine Novilia Lestari; Sri Wahyu; Melisa Sartika; Annisa Thurrabiah Khanza; Sadra Afifah
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.v1i2.28

Abstract

Technological advances encourage the implementation of automated machines to improve efficiency and process consistency, one of which is in automatic ice cream machines. These machines require a structured control system to manage the ordering flow and user interaction. This study aims to apply Automata theory, specifically Finite State Automata (FSA), to systematically model the working logic of an automatic ice cream machine. The system workflow is represented using Non-Deterministic Finite Automata (NFA) which includes the stages of cup size selection, flavor selection, topping selection, payment process, and order confirmation. This system allows the selection of 3 cup sizes: small, medium, and large, ensuring that each ordering process begins with an explicit cup size selection before the user proceeds to the next stage. Also, at the topping selection stage, the automata model is designed to be more flexible by providing transitions that allow users to choose no topping at all or to choose more than one topping. Model validation was carried out through simulations using JFLAP. The simulation results show that the model can accept valid input sequences and reject invalid inputs, so that the system flow runs consistently. Thus, FSA is proven effective as a formal framework in modeling and analyzing automatic ice cream machine systems.

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