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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 46 Documents
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Penerapan Model Predator-Prey pada Proses Perkecambahan Biji Kacang Hijau Regitha Lorenza
Indonesian Journal of Applied Mathematics Vol 2 No 2 (2023): Indonesian Journal of Applied Mathematics Vol. 2 No. 2 January 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.v2i2.1027

Abstract

Mungbean (Vigna radiata L.) is a type of legume plant with high protein and a short life of approximately 2 months. This plant is found in all regions of Indonesia. The morphology of the mungbean plant consists of roots, stems, leaves, flowers, fruits, and seeds. Mungbean seeds have nutritional content but are in an inactive (dormant) form, after being germinated, the nutrient content is activated, thereby increasing digestibility for humans. A germination is a biological event that occurs from a seed in a dormant state until it becomes a growing seed. Sprouts derived from green bean seeds are called bean sprouts. The germination process can increase the nutritional value of mungbeans, thus, in this journal, a study was conducted to determine the growth model of mungbean sprouts in order to determine the best time to consume bean sprouts. In modeling the growth of green bean sprouts, a predator and prey model is used, which is resolved numerically using the fourth order Runge-Kutta method. From the research conducted, it can be concluded that the maximum nutrition of bean sprouts is on the third day since germination begins.
MODEL POPULASI NYAMUK DENGAN MELIBATKAN FAKTOR KONTROL DAN VARIASI MUSIM Humairoh, Mia Siti
Indonesian Journal of Applied Mathematics Vol. 1 No. 2 (2021): Indonesian Journal of Applied Mathematics Vol. 1 No. 2 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.v1i2.361

Abstract

Nyamuk merupakan serangga yang mengalami metamorfosis sempurna, dimuali dari telur, pupa, larva (fase akuatik) hingga nyamuk dewasa (fase nonakuatik). Proses perkembangbiakan nyamuk, khususnya pada fase akuatik (air sebagai habitatnya) sangat dipengaruhi oleh kondisi cuaca. Model matematik dibangun untuk mengetaui dinamika populasi nyamuk dengan melibatkan faktor cuaca. Penggunaan temephos dan fumigasi juga dilibatkan dalam konstuksi model sebagai kontrol terhadap pertumbuhan nyamuk. Analisis kestabilan pada titik kesetimbangan disajikan untuk mengetahui kondisi populasi nyamuk seiring berjalannya waktu. Dari hasil simulasi diperoleh bahwa pengaruh musim mengakibatkan dinamika populasi larva dan nyamuk berosilasi setiap tahunnya dengan puncak pertumbuhan terjadi pada musim hujan. Disamping itu, penggunaan temephos da fumigasi secara signifikan dapat mengurangi jumlah populasi dari larva dan nyamuk.
Prediksi Harga Saham Menggunakan Geometric Brownian Motion Termodifikasi Kalman Filter dengan Konstrain Vivien Maulidya; Erna Apriliani; Endah Rokhmati Merdika Putri
Indonesian Journal of Applied Mathematics Vol 1 No 1 (2020): Indonesian Journal of Applied Mathematics Vol. 1 No. 1 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

Abstract

An attractive profit is one of the attractions offered by stock investment. Changes in stock prices that are difficult to predict will result in uncertain value of profits, so it is necessary to predict the stock price using forecasting method. The model used is Geometric Brownian Motion (GBM). This model can predict future stock price movements based oh historical stock data. Forecasting results with the Geometric Brownian Motion model produce significant errors due to constant parameters. To reduce the values of error, it is necessary to add a filtering method that is Kalman Filter (KF) by limiting the state variables using norm. Historical data was taken from 3 different closing price stock data, namely shares of Bank BRI, PT. Telekomunikasi Indonesia Tbk, and Unilever Indonesia with period of January 1 – December 31, 2019. Based on the results obtained, the addition of contraints on the GBM-KF model does not significantly influence the MAPE value. At the forecasting stage using testing data with GBM-KF model without constraints, the average MAPE value for BBRI was 0.1122%, TLKM 0.0899%, and UNVR 0.0678%. While forcasting using GBM-KF model with constrains, the average MAPE value for BBRI was 0.0958%, TLKM 0.0808%, and UNVR 0.0674%. The values of MAPE obtained are included in the high accuracy forecasting category.
Prediksi Finansial Distress pada Salah Satu Bank Konvensional Menggunakan Machine Learning Fuji Lestari
Indonesian Journal of Applied Mathematics Vol 3 No 1 (2023): Indonesian Journal of Applied Mathematics Vol. 3 No. 1 July 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.v3i1.1284

Abstract

Financial distress is when a company experiences a shortage or insufficient funds to run the company. Prediction of financial distress is needed to prevent bankruptcy. In this study, financial distress predictions were made based on financial ratios obtained from monthly financial reports from a bank convention, after which the proportion that had the most influence on financial distress was determined. The models used in this study are several machine learning models, namely, Logistic Regression, Support Vector Machine, and Random Forest. Based on the analysis results, the best model for predicting financial pressure is the Random Forest Model, with an accuracy of 96.77%. Based on the best model obtained, namely the Random Forest, it can be determined that the ratio that is very influential on financial distress is the ratio of Total Asset Turnover.
Analisis Kunjungan Wisatawan Mancanegara melalui Pintu Udara, Laut dan Darat Muhammad Ammar Alkautsar; Sekar Anisa Sely; Della Najunda K.S; Rofi Ilmi Fadhillah; Alfredo Edward Lazuardi; Triyana Muliawati
Indonesian Journal of Applied Mathematics Vol 2 No 1 (2022): Indonesian Journal of Applied Mathematics Vol. 2 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.v2i1.765

Abstract

In early 2020 the COVID-19 outbreak had entered the territory of Indonesia so a lockdown system began to be implemented in several areas to overcome the spread of the Covid-19 outbreak, including on the tourist arrivals route through land gates, air gates, and sea gates. This makes the writer interested in seeing the number of foreign tourists entering Indonesia through land, sea, and air gates in the hope of helping the government in increasing the number of foreign tourists visiting Indonesia by optimizing the facilities and infrastructure on the tourist arrivals route. In this study, the authors looked at the effect on the entrance data of foreign tourists and the trends or changes that existed in the data held. The research was conducted by applying the Kruskal-Wallis test to see the relationship between the entry pathways and the Cox-Stuart test to see changes in the data. These two tests are used because they are following the objectives and existing research data. After the tests were carried out, the results showed that there was a difference between the entry routes, and it was seen that the data had decreased, one of the contributing factors was the PSBB (Large-Scale Social Restrictions) due to the Covid-19 pandemic.
Kriptografi Dan Kriptanalisis Citra Digital Menggunakan Algoritma Logistic Map Pasmahendri, Teguh
Indonesian Journal of Applied Mathematics Vol. 3 No. 2 (2023): Indonesian Journal of Applied Mathematics Vol. 3 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.v3i2.1587

Abstract

Abstract: Data security is very necessary for companies, institutions, organizations and individuals who have confidential information. The use of data security is intended so that information cannot be stolen by others. The rise of personal data leakage cases in Indonesia has made people worried about the security of their personal data such as identity cards (KTP), emails, and so on. One way to secure data in the form of a digital image is to encrypt it. One of the encryption algorithms is Logistic Map. Logistic map is one of the chaos algorithms that is often used in image cryptography because this algorithm is able to generate a complex array of random numbers with a simple recursive polynomial equation. In this research, the author encrypts a digital ID card image with a size of 3×3 pixels with an RGB image. Based on this explanation, it can be concluded that the encryption and decryption process using the Logistic Map Algorithm using parameter values in the interval range [3.57;4] and initial values in the interval range [0;1] can successfully encrypt a digital image. In this research, changes were made to the initial value (x_0) and different parameter values (r). The results obtained based on experiments conducted by the author using a digital image measuring 1572 × 966 pixels are with the value of x_0 = 0.8672 and r = 3.7541 experiencing a very varied color intensity distribution compared to the histogram produced with the initial value and other parameter values in the research conducted. Keywords: Citra Digital, Data Security, Logistic Map Abstrak: Keamanan data sangat diperlukan bagi perusahaan, institusi, organisasi maupun perseorangan yang memiliki informasi rahasia. Penggunaan keamanan data ditujukan agar informasi tidak dapat dicuri oleh orang lain. Maraknya kasus kebocoran data pribadi di Indonesia membuat khawatir dengan keamanan data pribadinya seperti Kartu Tanda Penduduk (KTP), email, dan lain sebagainya. Adapun salah satu cara untuk mengamankan suatu data berbentuk citra digital adalah dengan mengenkripsikannya. Salah satu algoritma enkripsinya adalah Logistic Map. Logistic map adalah salah satu algoritma chaos yang sering digunakan dalam kriptografi citra karena algoritma ini mampu menghasilkan deretan bilangan acak yang kompleks dengan persamaan polinomial rekursif yang sederhana. Dalam penelitian kali ini penulis mengenkripsikan citra digital KTP dengan ukuran pixel dengan citra RGB. Berdasarkan penjelasan tersebut dapat diambil kesimpulan yaitu proses enkripsi dan dekripsi menggunakan Algoritma Logistic Map dengan menggunakan nilai parameter direntang interval dan nilai awal direntang interval berhasil mengenkripsikan suatu citra digital. Pada penelitian kali ini di lakukan perubahan terhadap nilai awal dan nilai parameter yang berbeda-beda. Hasil yang didapatkan berdasarkan percobaan yang telah dilakukan penulis dengan menggunakan citra digital berukuran pixel adalah dengan nilai dan mengalami penyebaran intensitas warna yang sangat bervariasi dibandingkan dengan histogram yang dihasilkan dengan nilai awal dan nilai parameter lainnya dalam penelitian yang dilakukan. Kata Kunci: Citra Digital, Keamanan Data, Logistic Map
Analisis Besar Iuran Normal Metode Frozen Initial Liability dan Metode Entry Age Normal Menggunakan Tingkat Suku Bunga Cox-Ingersoll-Ross (CIR) Mahrani, Dwi
Indonesian Journal of Applied Mathematics Vol. 3 No. 2 (2023): Indonesian Journal of Applied Mathematics Vol. 3 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.v3i2.1576

Abstract

One form of social security program is a pension funding program. A pension plan is a program designed to provide benefits to employees when they retire. Based on the type of membership, the pension program is divided into 2 types, namely individuals and groups. There are differences in the methods used for the two types of participation, namely the Normal Entry Age (EAN) method for individual pension programs and the Frozen Initial Liability (FIL) method for group pension programs. Each period, both individual and group pension program participants are required to pay normal contributions. Things that influence the amount of normal contributions for each worker are the age at which they enter work, the participant's initial salary, and the participant's chance of survival/death. In addition, the calculation of normal contributions also depends on the interest rate used. In this study, the interest rate used is the interest rate of the Cox-Ingersoll-Ross (CIR) model. The normal contribution amount for EAN is constant for each period, while the normal contribution amount for FIL changes when there are participants who retire in the pension program group. The normal FIL contribution tends to be on average compared to the EAN normal contribution for each participant.
Determining The Selling Price of Thrift Using The Fuzzy Sugeno Method Radhiah, Radhiah; Rusdiana, Siti; Hamdi, Syaiful; Nurmaulidar, Nurmaulidar; Syahrini, Intan; Mahmudi, Mahmudi; Ikhwan, Muhammad
Indonesian Journal of Applied Mathematics Vol. 3 No. 2 (2023): Indonesian Journal of Applied Mathematics Vol. 3 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.v3i2.1598

Abstract

The use of thrift goods in life has the effect of saving and loving the environment. Many of these objects are difficult to degrade in nature and are nevertheless thought to have economic worth, for example used electronic equipment such as laptops. On the other hand, in today's classroom environment, laptops are quite important. Even the most recent computers with good features are fairly costly, thus used laptops are one answer to this. The seller's selling price usually only takes a few elements into account, therefore the price set does not always match the requirements. The aim of this paper is to apply the zero order Sugeno fuzzy approach to determine the selling price of old laptop. The system is built with characteristics such as laptop age, physical condition, RAM, new purchase price, and used selling price. The simulation findings suggest that fuzzy logic employing the zero-order Sugeno approach can be utilized to determine the selling price of old laptop while accounting for the affecting variables.
Pengoptimalan Masalah Nonlinier dalam Meminimumkan Biaya Produksi Menggunakan Separable Programming dan Algoritma Genetika Fazilah, Nanda; Saputra, T Murdani; Syahrini, Intan
Indonesian Journal of Applied Mathematics Vol. 4 No. 1 (2024): Indonesian Journal of Applied Mathematics Vol. 4 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.v4i1.1781

Abstract

This research aims to form a nonlinear model of the objective function in the case of minimizing production costs and the number of products that must be produced by Lanting Bumbu An-Nisa. The application of the separable programming method is carried out by transforming the nonlinear objective function and constraints to produce a linear objective function and constraints which are then solved by applying the genetic algorithm method. The application of this method produces a solution that producers must produce 250 packages of onion flavored lanting, 750 packages of cheese flavored lanting, 500 packages of sweet and spicy lanting and 500 packages of corn flavored lanting with a production cost of IDR 12,706,037.29 . The nonlinear model formed in this problem was also solved directly using the genetic algorithm method which resulted in the solution that the total production of onion flavored lanting was 533 packages, 507 packages of cheese flavored lanting, 505 packages of sweet and spicy lanting and 455 packages of corn flavored lanting at a cost of the production that must be spent is IDR 11,213,943.55. The application of these two methods results in a difference in production costs of IDR 1,492,093.74. Based on these results, it shows that solving the nonlinear model directly using a genetic algorithm results in production costs that are 11.74% lower than the costs solved using separable programming.
Efficiency and Accuracy in Quadratic Curve Fitting: A Comparative Analysis of Optimization Techniques: A Comparative Analysis of Optimization Techniques Alridha, Ahmed Hasan
Indonesian Journal of Applied Mathematics Vol. 3 No. 2 (2023): Indonesian Journal of Applied Mathematics Vol. 3 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.v3i2.1575

Abstract

In this paper, we investigate an optimization methods might be applied for solving curve fitting by making use of a quadratic model. To discover the ideal parameters for the quadratic model, synthetic experimental data is generated, and then two unique optimization approaches, namely differential evolution and the Nelder-Mead algorithm, are applied to the problem in order to find the optimal values for those parameters. The mean squared error as well as the correlation coefficient are both metrics that are incorporated into the objective function. When the results of these algorithms are compared, trade-offs between the rate of convergence and the quality of the fit are revealed. This work sheds light on the necessity of selecting proper optimization algorithms for specific circumstances and provides insights into the balance that must be struck between accurate curve fitting and efficient use of computational resources in the process of curve fitting.

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