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Journal of Mathematics: Theory and Applications
Published by Universitas Sulawesi Barat
ISSN : 26859653     EISSN : 27222705     DOI : https://doi.org/10.31605/jomta
Core Subject : Education,
Mathematics
JOMTA Journal of Mathematics Theory and applications is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in the research. JOMTA Journal of Mathematics Theory and applications disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications. The scope of the articles published in this journal deal with a broad range of mathematics topics, : Numerical Analysis Modeling and Simulation Logic Geometry and Topology Discrete Mathematics and Combinatorics Control and Optimization Applied Mathematics Analysis Algebra and Number Theory Computational Mathematics Statistics and Probability
Arjuna Subject : Matematika - Matematika Terapan
Articles 7 Documents
 1 
Search results for , issue "Volume 5, Nomor 1, 2023" : 7 Documents clear
Memprediksikan Indeks Pembangunan Manusia di Wilayah Indonesia Bagian Timur Menggunakan Random Forest Classification Arwini Arisandi; Syandriana Syarifuddin
Journal of Mathematics: Theory and Applications Volume 5, Nomor 1, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i1.2402

Abstract

Abstrak. Indeks Pembangunan Manusia (IPM) merupakan salah satu indikator yang penting dalam melihat sisi lain dari pembangunan. Setiap indikator komponen penghitungan IPM dapat dimanfaatkan untuk mengukur keberhasilan pembangunan kualitas hidup manusia seperti Umur Harapan Hidup (UHH), Harapan Lama Sekolah (HLS), Pengeluaran per Kapita Disesuaikan (PKD), dan Lama Sekolah (LS). Penelitian ini bertujuan untuk mengetahui sebaran IPM di Kawasan Timur Indonesia, kemudian melakukan pemodelan data IPM dengan menggunakan regresi logistik, decision tree, dan random forest untuk mendapatkan model terbaik dalam memprediksi IPM serta mengetahui faktor-faktor yang memiliki pengaruh terhadap perubahan nilai IPM. Hasilnya menunjukkan bahwa daerah dengan kategori IPM rendah dan IPM sedang memiliki persentase sebesar 69% yang lebih tinggi dibandingkan dengan daerah dengan kategori IPM tinggi dan IPM sangat tinggi sebesar 31% untuk kawasan Timur Indonesia. Model terbaik untuk pemodelan data IPM pada Kawasan Timur Indonesia adalah model random forest dengan nilai kebaikan model sebesar 94.03% dan nilai balanced accuracy sebesar 93.33%. Hasil prediksi diperoleh sebanyak 2 kabupaten/kota atau 4.08% yang diprediksi tidak tepat. Variabel Umur Harapan Hidup memiliki pengaruh atau kontribusi yang signifikan dalam perubahan nilai IPM kabupaten/kota di Kawasan Timur Indonesia. Kata kunci: IPM, Kawasan Timur Indonesia, Random forest
Parameter Estimation of The Blumberg Model Using Simulated Annealing Algorithm: Case Study of Broiler Body Weight Wahyudin Nur; Darmawati
Journal of Mathematics: Theory and Applications Volume 5, Nomor 1, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i1.1762

Abstract

The Blumberg model is one of the logistic models. The advantage of the Blumberg model is the flexibility of the inflection point. The Blumberg model is believed to be suitable for modeling the growth of living organs. In this article, we estimate the parameters of the Blumberg model using simulated annealing algorithm. The simulated annealing algorithm is a heuristic optimization method based on the metal annealing process. The data used is Broiler daily weight data. The model obtained fits the daily weight data of Broiler. Our results show that the closer the cooling schedule factor to 1, the smaller the error. In addition, we must carefully select the initial temperature. The selection of the initial temperature that is not suitable drives the error to enlarge.
Bisection Method and Falsi Regulation Method to Determine The Roots of Polynomial Equations Melki Imamastri Puling Tang
Journal of Mathematics: Theory and Applications Volume 5, Nomor 1, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i1.2029

Abstract

Some simple polynomial equations can be solved by the remainder theorem, so there is no need for numerical methods to solve them, because the roots of equations are very easy to do using analytical methods, while there are some polynomial equations that are difficult and complex to find roots using analytical methods. In this literature review, researchers will use the bisection method and the false rule to find the roots of polynomial equations. Based on the steps or sequence of calculation of the polynomial roots of , using the bisection method, the author states that from the first step to the eleventh step, if the calculation continues then in the second step f(a)*f(c)>0 or away from zero as shown in table 1 above. The author states that if the twelfth step continues, then f(a)*f(c) will approach zero and it can be seen that there are looping process approaches resulting from f(a)*f(c). This research study concludes that the roots of the polynomial of , using the bisection method are 1.36474675. Based on the steps or sequence of calculating the roots of the polynomial of on, using the false position method (false rule), the author states that from the first step to the 366th step it turns out that f(c)=0.003195 when c=1,365423447. Thus the polynomial roots of using the false position method (regulation false) are 1.365423447. Keywords: Roots of polynomial equations.
Analisis Regresi Logistik Biner dalam Penentuan Faktor-Faktor yang Mempengaruhi Ketepatan Waktu Lulus Mahasiswa UIN Alauddin Makassar Sri Dewi Anugrawati; Nurhikma; Iyut Wahyu Saputri; Khalilah Nurfadilah
Journal of Mathematics: Theory and Applications Volume 5, Nomor 1, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i1.2401

Abstract

This research is an application/applied research, namely by taking or collecting data and analyzing it using a binary logistic regression model to determine the factors that influence the accuracy of graduating students at UIN Alauddin Makassar. The type of data used in this research is secondary data. These data originally from undergraduate students data 0f 8 faculties obtained from the PUSTIPAD Information System of UIN Alauddin Makassar Rector Class of 2016. Undergraduate/D-IV program students are declared to graduate on time if they complete their studies at tertiary institutions for less than or equal to 8 semesters or you could say 4 years, with a minimum number of credits of 144 credits. To determine the binary logistic regression model, parameter significance tests were carried out simultaneously using the G test and partially using the Wald test. Then test the fit of the model by measuring the chi-square value and the Hosmer and Lowshow test at a significant level of 5%. The results showed that there were three factors that influenced the timeliness of graduation accuracy, namely gender (X1), IPK (X3) and educational background (X4)
Perencanaan Produksi Makanan Laut dengan Pertimbangan Permintaan dan Kapasitas Hirman Rachman; Herman Mawengkang
Journal of Mathematics: Theory and Applications Volume 5, Nomor 1, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i1.2309

Abstract

The sea holds many resources that are very important for life, and one of them is the potential of fisheries, which is a basic human need. Indonesia, as a maritime country whose waters cover 2/3 of its territory, most of its people who live in coastal areas have utilized this condition by conducting fisheries management activities. However, the process still needs technical support to optimize the results. This research will review the production planning process of processed marine products under demand uncertainty. This research will construct a model to minimize production costs by considering demand uncertainty. The model will be computed using Mixed Integer Linear Program (MILP) method to provide the decision of processed products produced and the amount of production.
Penerapan Model ARIMA terhadap Kebutuhan Jumlah Vaksin Booster COVID-19 di Provinsi Sulawesi Selatan Rahmat Syam; Wahidah Sanusi; Muhammad Abdy; Muhammad Farhan
Journal of Mathematics: Theory and Applications Volume 5, Nomor 1, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i1.2751

Abstract

Penyebaran COVID-19 di Indonesia pada tahun 2019 sangat tinggi, salah satu wilayah dengan angka terinfeksi tertinggi ialah di Provinsi Sulawesi Selatan. Sikap yang diambil pemerintah dalam menanganinya yaitu dengan memberikan vaksin ke seluruh wilayah Indonesia. Vaksin yang diberikan terdiri atas dua yaitu vaksin primer dan vaksin Booster. Pemberian vaksin Booster COVID-19 membuat masyarakat berpikir apakah memang dibutuhkan?. Oleh karena itu dibutuhkan suatu model peramalan untuk meramalkan kebutuhan jumlah vaksin Booster COVID-19 di Provinsi Sulawesi Selatan. Penelitian ini bertujuan untuk mengetahui bentuk pemodelan data jumlah vaksin Booster COVID-19 di Provinsi Sulawesi Selatan menggunakan model ARIMA, diawali dengan pengecekan kestasioneran data, identifikasi model dugaan, estimasi dan uji parameter, uji asumsi residual, pemilihan model terbaik, peramalan, dan uji ketepatan peramalan. Hasil penelitian ini menunjukkan bahwa model terbaik pada peramalan kebutuhan jumlah vaksin Booster COVID-19 di Provinsi Sulawesi Selatan adalah model ARIMA (1,1,0) dengan nilai ketepatan peramalan menggunakan MAPE sebesar 1.38%.
Analisis Hubungan antara Nilai Mata Kuliah Metode Statistika dan Mata Kuliah Teori Peluang pada Mahasiswa Statistika dengan Korelasi Somers' D Reski Wahyu Yanti; Retno Mayapada; Andi Sri Rahayu Kasma; Syandriana Syarifuddin; Andi Seppewali
Journal of Mathematics: Theory and Applications Volume 5, Nomor 1, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i1.2782

Abstract

The subjects studied at university are often interrelated and form an intact of complete knowledge. This study aims to analyze the asymmetrical relationship between Statistical Methods scores and Probability Theory scores in Statistics students through Somers' d correlation analysis. Based on the analysis performed, it was found that there was a strong correlation (0.612 and 0.716) between the scores obtained by students in the Statistical Methods and Probability Theory. The analysis also shows that the scores of the Statistical Method that students obtained has a significant influence on students' Probability Theory scores. So it can be concluded, that the higher the student's Statistical Method score obtained in the early semester, the higher the chance for students to get high Probability Theory scores in the following semester.

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