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INDONESIA
Indonesian Journal of Applied Mathematics
Published by Institut Teknologi Sumatera
ISSN : 27742067     EISSN : 27742016     DOI : https://doi.org/10.35472/indojam
Core Subject : Economy, Science, Engineering,
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Physics
Indonesian Journal of Applied Mathematics is a scientific publication media that publishes articles from the results of research or studies in the field of applied mathematics, focusing on Computational Mathematics, Optimization, Actuarial, Statistics, Numerical Modelling, Mathematical Physics, Financial Mathematics and Combinatorics. This journal publish twice in a year April and October. Indonesian Journal of Applied Mathematics is fully supported by Mathematics Study Program and Actuarial Study Program of Institut Teknologi Sumatera.
Arjuna Subject : Matematika - Matematika Terapan
Articles 50 Documents
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Implementasi Kombinasi Secret Sharing dan Steganografi Citra Least Significant Bit dengan QR Code Marwati, Rini; Pebriani, Dwi Putri; Rachmatin, Dewi
Indonesian Journal of Applied Mathematics Vol. 5 No. 1 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i1.1887

Abstract

Information security becomes very important as long as information technology continues to develop. This research combines Shamir Secret Sharing (Scheme ( , )) cryptography and Least Significant Bit (LSB) steganography to improve information security in the aspect of confidentiality. The need to collect a minimum number of shares, Scheme ( , ) method makes it more difficult for hackers to reconstruct the message. The implementation of the combination of cryptography and steganography produces an application program created with Python programming languange version 3.11.2, where the Scheme (t,w) used is and RGB image as the cover object of LSB method. In determining the location of image pixels that will be inserted into the message, random numbers generated by the Linear Congruential Generator (LCG) algorithm is used. The program can create a share of text messages with a maximum of 8 characters contained in ASCII characters 32 to 126. The result obtained from the share construction program is QR codes that refers to the stego image that has been inserted by the share, so that the existence of information in the QR code is difficult to know. The program can also reconstruct the message back from QR codes.
Application of Path Analysis Method on Student Financial Satisfaction Radhiah, Radhiah; Fitriaa, Siti Nada; Saputra, T Murdani; Ikhwan, Muhammad
Indonesian Journal of Applied Mathematics Vol. 5 No. 1 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i1.1986

Abstract

Quantitative Performance Analysis of Spring-Mass-Damper Control Systems: A Comparative Implementation in Python and R Herho, Sandy Hardian Susanto; Kaban, Siti Nurzannah
Indonesian Journal of Applied Mathematics Vol. 5 No. 1 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i1.2104

Abstract

The numerical simulation of control of spring-mass-damper (SMD) systems offer critical insights into dynamical systems and computational methodologies. This study provides a comprehensive comparative analysis of implementing SMD systems across two prominent open-source scientific computing platforms: Python and R. By examining both open-loop and closed-loop system configurations, the research investigates the computational performance, numerical accuracy, and implementation characteristics of these platforms. Utilizing an idealized one-dimensional SMD system with a Proportional-Integral-Derivative (PID) controller, the study conducted extensive numerical simulations and statistical performance analyses. Results revealed Python's significant advantages in execution speed, achieving up to 63.57% reduction in runtime for controlled system simulations, while R demonstrated superior consistency in execution and memory usage. The controlled system demonstrated exceptional performance, with a final position error of merely 0.4% and enhanced damping characteristics. This work not only bridges theoretical stability analysis with empirical performance insights but also promotes reproducibility and transparency in computational dynamics research by leveraging open-source platforms.
Perhitungan Nilai Cadangan Premi Tahunan Asuransi Jiwa Dwiguna Menggunakan Metode New Jersey dan Fackler Yulita, Tiara
Indonesian Journal of Applied Mathematics Vol. 5 No. 1 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i1.2128

Abstract

Endowment life insurance is a type of life insurance that involves two types of benefits, namely the company will provide compensation if the insured remains alive at the end of the policy term or dies during the policy term. Premium reserves are the amount of funds that must be available to the insurance company as funds for preparing claim payments to the insured. The aim of this research is to calculate the annual premium reserve value in one of the assumed cases of Company XYZ with a coverage period of 35 years and a premium payment period of 20 years. Calculation of premium reserves can be done using a prospective and retrospective approach. The New Jersey method is included in one of the prospective premium reserve calculation methods which is an improvement and more effective than the Illinois method, with a minimum premium payment of 20 payments. The Fackler method is a calculation with a retrospective approach. The results of calculating premium reserves using the New Jersey and Fackler methods increase every year and have the same value. The results of these calculations show that the insurance company has sufficient funds to fulfill its obligations to the insured.
IMPLEMENTASI FUZZY ANALYTICAL HIERARCHY PROCESS DALAM PEMILIHAN SUPPLIER SERTA ALOKASI PESANAN BERAS MENGGUNAKAN METODE GOAL PROGRAMMING Nasution, Achmad Suryadi; Aprilyani, Erika; Mardianto, Lutfi
Indonesian Journal of Applied Mathematics Vol. 5 No. 1 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i1.2131

Abstract

In the face of current business competition, existing companies are competing with each other to get optimal output in order to compete with other companies. One of the steps that can be taken to be able to obtain optimal output is to choose potential suppliers in obtaining profits. This research uses the fuzzy analytical hierachy process method with the aim of knowing the priority of suppliers who will cooperate and also the goal programming method with the aim of determining the allocation of rice orders in order to minimize purchase costs, minimize the percentage of defects, maximize supplier weight and meet supply targets. The results of supplier 1, supplier 2, and supplier 3 weights are 0.3145; 0.3489; 0.3365 respectively. The goal programming method provides a better solution than the current order allocation. The total purchase cost set by the company did not decrease or increase but the total defective orders decreased by 23.43% in one year.
Perhitungan Premi Asuransi Pertanian Pada Tanaman Padi Di Provinsi Jawa Barat Menggunakan Metode Copula Lestari, Fuji
Indonesian Journal of Applied Mathematics Vol. 5 No. 2 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i2.2435

Abstract

Agricultural insurance is an important instrument to protect farmers from risks that can threaten the sustainability of farming, such as crop failure due to natural disasters, pest attacks, and plant diseases. Rice, as a strategic commodity for national food security, is a priority in insurance protection programs. This study aims to calculate rice insurance premiums in West Java Province using the copula method, based on secondary monthly data of rice production and dry grain prices (GKG) from January 2020 to December 2023, as well as daily rainfall data. The methodology includes data exploration, distribution fitting, copula parameter estimation, and premium calculation based on rainfall threshold values. The analysis results indicate that the Gaussian copula is the best model for capturing the dependence between variables, with the lowest AIC and BIC values. Premium calculations based on rainfall indices show variations according to threshold values, with lower premiums for smaller thresholds, confirming the effectiveness of the Gaussian copula in modeling risk for agricultural insurance premiums.
TRANSMISSION MODEL OF DENGUE FEVER IN CASE OF TANGERANG CITY WITH SEVERAL SIMULATIONS. utomo, rukmono
Indonesian Journal of Applied Mathematics Vol. 5 No. 2 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i2.2182

Abstract

The aim of our research is constructing mathematics model SIR-SI transmission of dengue virus in case of Tangerang City consider vaccination, fumigation and treatment. Background of our research is because so many cases of dengue fever in Tangerang. We use method compartment model and creating differential equation system. The Result tells us that our mathematics model giving two equilibrium points. As the first, we call as disease free equilibrium point and the second is endemic equilibrium point (Simulation 1). We also success determining basic reproduction number and we analyze local-stability around those equilibrium points. Local stability around is asymptotic stable with =0.7863699062 < 1 and local stable around endemic equilibrium point is asymptotic stable with =3.045597501> 1. For simulation 2 with the parameter , and changed from 0,9 into 1 we get result that the number of infected human is decrease and the number of recovery is increase for free disease condition. In the disease condition of simulation 2, the result seems like same of free disease condition in simulation 2 but not too significantly for decrease the number of infected human and the number of increase recovery human.
An Alternative Derivation of the Black-Sholes Model for Option Pricing Hakam, Amirul; Savira, Dhea Rahma; Putri, Endah RM
Indonesian Journal of Applied Mathematics Vol. 5 No. 2 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i2.2433

Abstract

Investment enables investors to acquire shares in capital markets or their derivative assets, with options being one of the most common instruments. An option is a contract granting the right to buy or sell an underlying asset under specific conditions. The Black–Scholes equation is widely used for option pricing, though its derivation through Backward Stochastic Differential Equations (BSDEs) is less common. BSDEs are particularly relevant in incomplete markets, where not all options can be perfectly replicated. BSDEs also avoid the need to transform probability measures into the risk-neutral, thereby simplifying the pricing procedure. This study derives the Black–Scholes equation via BSDEs, modeling investor wealth and applying the Feynman–Kac theorem. The solution for call options is obtained by transforming the variables to get a diffusion equation, while put option prices are derived using the put–call parity principle. Finally, simulations of the Black–Scholes formula are conducted to analyze option price behavior under varying volatility and risk-free interest rates.
Penerapan Metode Small Area Estimation dengan Pendekatan Hierarchical Bayesian (Studi Kasus: Tingkat Pengangguran Terbuka Di Provinsi Kepulauan Riau) S, Mika Alvionita
Indonesian Journal of Applied Mathematics Vol. 5 No. 2 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i2.2436

Abstract

The Open Unemployment Rate is an important indicator in describing the labor market conditions of a region. The Riau Islands Province recorded the highest open unemployment rate in Sumatra in 2024. However, direct estimation based on the survey is less accurate for small areas due to limited sample sizes. This study aims to estimate the OUR using the Small Area Estimation (SAE) approach based on a Hierarchical Bayesian (HB) Log-Normal–Normal model. The analysis results show that among several predictor variables used, only the Gross Regional Domestic Product (GRDP) has a significant effect on the OUR, with a regression coefficient of −1.2600. This indicates that an increase in GRDP is correlated with a decrease in the unemployment rate. The best model obtained is log(θi) = 1,5875 − 1,2600 x1i + vi with a Mean Squared Error of 0.309. For further development, it is recommended to conduct estimation at smaller area levels (sub-districts or villages) and to consider adding more predictor variables to improve model precision.
Optimalisasi Portofolio Saham Berbasis Green Economy: Analisis Sharpe Ratio, Treynor Ratio, Jensen’s Alpha, dan Korelasi ESG Score Febrianti, Werry; Yaqin, Ainol
Indonesian Journal of Applied Mathematics Vol. 5 No. 2 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i2.2437

Abstract

Investments that incorporate Environmental, Social, and Governance (ESG) principles are increasingly recognized as a strategic approach to support the transition toward a green economy. This study aims to optimize a stock portfolio composed of constituents from the IDX ESG Leaders index by employing three performance evaluation indicators: Sharpe Ratio, Treynor Ratio, and Jensen’s Alpha. Five stocks—ADRO, INKP, EXCL, BFIN, and KLBF—were selected based on strong ESG scores, large market capitalizations, and consistent inclusion in the ESG index for the past two consecutive years. The data used consist of daily closing prices from January 2021 to April 2025, with the BI 7-Day Reverse Repo Rate serving as a proxy for the risk-free rate. The results indicate that certain ESG-based portfolios can deliver competitive risk-return performance, with ADRO and KLBF exhibiting superior Sharpe Ratios and positive Jensen’s Alpha values compared to the other stocks. These findings reinforce the role of ESG in constructing investment portfolios that are not only financially viable but also aligned with long-term sustainability goals.

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