Fraction: Jurnal Teori dan Terapan Matematika https://fraction.ubb.ac.id/index.php/fraction <hr /> <div style="text-align: justify;"> <p><strong>Fraction</strong>: <strong>Jurnal Teori dan Terapan Matematika</strong> [<strong>E-ISSN: <a href="https://issn.brin.go.id/terbit/detail/20220602191653847">2830-2028</a>; P-ISSN: <a href="https://issn.brin.go.id/terbit/detail/20220704551163238">2962-1402</a></strong>] is an open-access and peer-reviewed journal that contains articles related to research results or research studies in the field of <strong>Mathematical Theory and Applications</strong>,<strong> including Analysis</strong>, <strong>Algebra and Number Theory, Control and Optimization, Discrete and Combinatorics Mathematics, Computational Mathematics, Applied Mathematics, and Statistics, Probabilities and Applications</strong>. This journal is published by the <strong>Department of Mathematics, Faculty of Engineering, Universitas Bangka Belitung</strong>.<strong> </strong></p> <p><strong>Fraction</strong>: <strong>Jurnal Teori dan Terapan Matematika </strong>is published 2 (two) times a year in <strong>June</strong> and <strong>December</strong> and is aimed to be a medium for publishing scientific articles for lecturers or researchers. This journal uses Open Journal Systems 3.3.0.10, open-source journal management and publishing software developed, supported, and freely distributed by the Public Knowledge Project under the GNU General Public License.</p> <hr /> <p>We invite you to submit your paper to <strong>Fraction</strong>: <strong>Jurnal Teori dan Terapan Matematika</strong>. Papers submission deadlines:</p> <p><strong>Submission deadline 1<sup>st</sup> edition: June</strong></p> <p><strong>Submission deadline 2<sup>nd</sup> edition: December</strong></p> <p>Submit your manuscripts today (in English and Indonesia) through <strong><a title="our online system" href="https://fraction.ubb.ac.id/index.php/fraction/about/submissions">our online system</a></strong>! The authors should refer to the <a title="Author Guidelines" href="https://fraction.ubb.ac.id/index.php/fraction/authorGuidelines"><strong>Author Guidelines</strong></a> in writing the manuscript. The authors are also encouraged to use citation manager software such as Mendeley or any other software in writing the manuscript. </p> <p>Anonymous referees evaluate submitted papers for contribution, originality, relevance, and presentation. The Editor shall inform you of the review results as soon as possible, approximately in 12 weeks.</p> </div> <hr /> en-US <p>Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a <a title="Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License" href="https://creativecommons.org/licenses/by-nc-sa/4.0/" target="_blank" rel="noopener">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a> that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.</p> fahriaizma@yahoo.com (Izma Fahria) desydalimunthe2@gmail.com (Desy Yuliana Dalimunthe) Tue, 31 Dec 2024 00:00:00 +0000 OJS 3.3.0.11 http://blogs.law.harvard.edu/tech/rss 60 PERBANDINGAN METODE SARIMA DAN EXPONENTIAL SMOOTHING DALAM MEMPREDIKSI CURAH HUJAN DI KABUPATEN BANGKA TENGAH https://fraction.ubb.ac.id/index.php/fraction/article/view/64 <p><em>Indonesia is a country that has a tropical climate because it is located on the equator. The tropical climate has two seasons, namely the dry season and the rainy season. Each region has a different climate intensity. Rainfall is one of the elements of weather and climate that has an influence on tropical areas such as Indonesia. To find out changes in rainfall patterns, predictions of the amount of rainfall are carried out using past data. In this research, rainfall prediction uses two methods, namely the Seasonal Auto Regressive Integrated Moving Average (SARIMA) method and exponential smoothing with rainfall data from 2018-2023. SARIMA is an ARIMA method that was developed to use data patterns that repeat seasonally. in a fixed time such as quarterly, semi-annually and annually. Exponential smoothing is a moving average forecasting technique that weighs past data exponentially so that the most recent data has a weight or greater in the moving average. Based on the results of the research, it was found that the best method between SARIMA and Exponential Smoothing Winters Additive was Exponential Smoothing Winters Additive with an RMSE value of 3.283.</em></p> Madhania Fitri Amanda, Muhammad Syafar, Jenny Wulandari, Novenda Shavira, Hilda Marsyawa Aulia, Delia Syahfitri, Dessy Yuliana Dalimunthe Copyright (c) 2024 Madhania Fitri Amanda, Muhammad Syafar, Jenny Wulandari, Novenda Shavira, Hilda Marsyawa Aulia, Delia Syahfitri, Dessy Yuliana Dalimunthe https://creativecommons.org/licenses/by-nc-sa/4.0 https://fraction.ubb.ac.id/index.php/fraction/article/view/64 Tue, 31 Dec 2024 00:00:00 +0000 PERBANDINGAN METODE AVERAGE LINKAGE DAN K-MEANS DALAM MENGELOMPOKKAN PERSEBARAN PENYAKIT MULUT DAN KUKU DI INDONESIA https://fraction.ubb.ac.id/index.php/fraction/article/view/63 <p><em>The purpose of this study was to analyze the spread of Foot and Mouth Disease (FMD in Indonesia by using two different methods: average linkage and k-means. </em><em>In addition,</em><em> this study also aimed to determine the most effective method of classifying the distribution of FMD in Indonesia between the two methods used. The results of cluster validation showed that the optimal number of clusters formed in the average linkage method was 4, while in the k-means method, there were 3 clusters. The grouping with the average linkage method was better than the results of classifying with the k-means method, as the standard deviation ratio in the average linkage method was smaller at 0,035, compared to 0,258 in the k-means method. Therefore, it was concluded that the average linkage method was better than the k-means method in classifying the distribution of FMD in Indonesia.</em></p> Angelina, Lisa Harsyiah, Nur Asmita Purnamasari Copyright (c) 2024 Angelina, Lisa Harsyiah, Nur Asmita Purnamasari https://creativecommons.org/licenses/by-nc-sa/4.0 https://fraction.ubb.ac.id/index.php/fraction/article/view/63 Tue, 31 Dec 2024 00:00:00 +0000 PENGARUH KEIKUTSERTAAN ORGANISASI KEMAHASISWAAN TERHADAP INDEKS PRESTASI KUMULATIF MAHASISWA JURUSAN MATEMATIKA UNIVERSITAS BANGKA BELITUNG MENGGUNAKAN UJI WILCOXON https://fraction.ubb.ac.id/index.php/fraction/article/view/66 <p><span style="vertical-align: inherit;"><span style="vertical-align: inherit;">Di Indonesia perguruan tinggi bersaing dengan tantangan yang berat yaitu mencetak generasi yang dapat siap terjun secara langsung serta mampu bersaing dipasar bebas. Mahasiswa sejati harus mempunyai pengalaman berorganisasi untuk mengembangkan keterampilan dan kepemimpinan yang dimilikinya. Selain itu, keberhasilan seorang siswa di sekolah dapat dilihat melalui hasil akademik yang ditunjukkan pada Indeks Prestasi Kumulatif (IPK). Namun, jika ingin terjun ke dunia kemahasiswaan organisasi, siswa harus mampu membagi serta mengatur waktu antara kelas dan organisasi agar tidak berdampak negatif terhadap keberhasilan studinya. Penelitian ini memiliki tujuan untuk mengetahui pengaruh atau keikutsertaan organisasi kemahasiswaan terhadap nilai indeks prestasi kumulatif mahasiswa jurusan matematika di Universitas Bangka Belitung. Dalam penelitian ini menggunakan metode uji wilcoxon. Berdasarkan hasil pengujian hipotesis diperoleh bahwa nilai Zhitung (-14,62) lebih kecil dari Ztabel (0,4750) maka Ho di-tolak. Sedangkan pengujian menggunakan Software R-Studio diperoleh sebesar 0,00248 karena diketahui nilai P-value (Asymp. Sig (2-tailed)) kurang dari 0,05 maka dapat disimpulkan H0 ditolak dan H1 diterima, sehingga dapat dikatakan bahwa terdapat pengaruh keikutsertaan organisasi kemahsiswaan terhadap IPK secara signifikan-ikan.</span></span></p> Desti Aulia Pratiwi, Sarina, Khilma Luthfiyaturrohmah, Sulastri, Agnes Pramita Copyright (c) 2024 Desti Aulia Pratiwi, Sarina, Khilma Luthfiyaturrohmah, Sulastri, Agnes Pramita https://creativecommons.org/licenses/by-nc-sa/4.0 https://fraction.ubb.ac.id/index.php/fraction/article/view/66 Tue, 31 Dec 2024 00:00:00 +0000 (PRIM ALGORITHM IN DETERMINING THE SHORTEST PATH AND FASTEST PATH IN THE DISTRIBUTION OF INDOGROSIR GOODS IN PEKANBARU) https://fraction.ubb.ac.id/index.php/fraction/article/view/65 <p>Penelitian ini bertujuan untuk mencari lintasan terpendek dan lintasan tercepat dalam pendistribusian barang dari Indogrosir ke beberapa Indomaret yang ada di Pekanbaru dengan mengunakan algoritma prim. Penelitian ini merupakan data sekunder yang diperoleh dari aplikasi <em>google maps</em>. Data yang di dapat dari google maps digunakan untuk membuat graf berbobot terhubung. Dengan menggunakan algoritma prim, dilakukan optimalisasi lintasan sehingga diperoleh <em>minimum spanning tree</em>. Berdasarkan <em>minimum spanning tree </em>inilah diperoleh lintasan terpendek dan lintasan tercepat pendistribusian barang dari Indogrosir ke beberapa Indomaret adalah selama 1 jam 52 menit dan 45,8 km. hasil ini lebih cepat disbanding data <em>google maps</em>.</p> zefizarita, Depriwana Rahmi, Suci Yunita, Annisa Kurniati Copyright (c) 2024 zefizarita, Depriwana Rahmi, Suci Yunita, Annisa Kurniati https://creativecommons.org/licenses/by-nc-sa/4.0 https://fraction.ubb.ac.id/index.php/fraction/article/view/65 Tue, 31 Dec 2024 00:00:00 +0000 METODE ARIMA DAN TREND MOMENT DALAM MEMPREDIKSI HARGA BERAS KUALITAS SUPER 2 DAN BAWAH 2 DI KOTA PANGKALPINANG https://fraction.ubb.ac.id/index.php/fraction/article/view/62 <p><strong>ABSTRAK </strong></p> <p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Beras merupakan kebutuhan pokok bagi masyarakat luas, sehingga diperlukan pemantauan harga hasil panen yang dilakukan oleh para petani daerah. Pemantauan ini dilakukan secara langsung dan akan dilaporkan ke pemerintah pusat. Penelitian ini dilakukan untuk melihat perbandingan dua metode untuk memprediksi harga beras kualitas super 2 dan bawah 2 di kota Pangkalpinang yang mana dalam beberapa tahun terakhir ini kota ini mengalami kecenderungan harga yang meningkat. Kedua metode yang akan digunakan di penelitian ini adalah metode ARIMA dan <em>Trend Moment</em>. Data yang digunakan merupakan data sekunder dari Pusat Informasi Harga Pangan Strategis Nasional (PIHPS) kota Pangkalpinang dari Januari 2019 hingga Febuari 2024. Selanjutnya data akan dianalisis dengan metode ARIMA dan <em>Trend Moment</em>. Hasil prediksi terbaik adalah metode ARIMA, dengan nilai terendah dan tertinggi dari beras kualitas bawah 2 berturut-turut terdapat dibulan Maret sebesar Rp16.687,37 dan dibulan Agustus sebesar Rp19.049,52. Nilai terendah dan tertinggi dari beras kualitas super 2 secara berturut-turut terdapat dibulan Maret Rp17.127,97 dan dibulan Agustus sebesar Rp19.117,25.</p> <p><strong>Kata kunci : </strong><em>Harga beras, ARIMA, Trend Moment</em></p> <p><strong><em>ABSTRACT</em></strong></p> <p><em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Rice is a basic need for the wider community, so it’s necessary to monitor the price of the harvest by regional farmers. This monitoring is carried out directly and will be reported to the central government. This research was conducted to see a comparison of two methods for predicting super 2 and lower 2 quality rice price in Pangkalpinang city, in recent years this city has experienced an increasing price trend. Methods that will used in this research are ARIMA and Trend Moment methods. The data used is secondary data from the National Strategic Food Price Information Center (PIHPS) Pangkalpinang city from January 2019 to February 2024. Next, the data will be analyzed using ARIMA and Trend Moment methods. The best prediction results are using ARIMA method, with the lowest and highest values ​​for below 2 quality respectively in March amounting to IDR 16,687.37 and in August amounting to IDR 19,049.52. The lowest and highest values ​​for super 2 quality respectively IDR 17,127.97 in March and IDR 19,117.25 in August.</em></p> <p><em>&nbsp;</em><em>Keywords: Rice price, ARIMA, Trend Moment</em></p> Yoel Setiawan Jaya, Deli Tarius Tarius, Febita Audieni, Lara Pramudita, Sri Wahyuni, Depita Fitriyanti, Desy Yuliana Dalimunthe Copyright (c) 2024 Yoel Setiawan Jaya, Deli Tarius Tarius, Febita Audieni, Lara Pramudita, Sri Wahyuni, Depita Fitriyanti, Desy Yuliana Dalimunthe https://creativecommons.org/licenses/by-nc-sa/4.0 https://fraction.ubb.ac.id/index.php/fraction/article/view/62 Tue, 31 Dec 2024 00:00:00 +0000