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Jose Rizal
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FMIPA Universitas Bengkulu JLWR Supratman Kelurahan Kandang Limun Kecamatan Muara Bangkahulu Kota Bengkulu
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Diophantine Journal of Mathematics and Its Applications
Published by Universitas Bengkulu
ISSN : -     EISSN : 2987906X     DOI : https://doi.org/10.33369/diophantine
Core Subject : Economy, Science, Engineering,
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Industrial & Manufacturing Engineering
The DJMA is published twice a year in June and December. This journal is managed by the Mathematics Department of Bengkulu University. The scope of this journal includes the fields of: 1. Mathematics 2. Applied Mathematics 3. Statistics 4. Applied Statistics 5. Computer Science.
Arjuna Subject : Matematika - Matematika Terapan
Articles 37 Documents
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Perbandingan Arima dan Fuzzy Time Series Markov Chain Untuk Meramalkan Prediksi Hasil Panen Kopi (Studi Kasus Kabupaten Bengkulu Tengah Tahun 2012-2022) Saragih, Emiya Surabina Br; Gumay, Fridz Meryatdas; Fajriyanti, Meisya; Siregar, Samuel Eurico; Agwil, Winalia
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 2 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i2.32049

Abstract

Penelitian ini bertujuan untuk membandingkan metode ARIMA dan Fuzzy Time Series Markov Chain dalam meramalkan prediksi hasil panen kopi pada studi kasus Kabupaten Bengkulu Tengah tahun 2012-2022. Langkah-langkah yang dilakukan dalam penelitian ini meliputi pengumpulan data, analisis data, pemodelan data, uji model, evaluasi model, dan kesimpulan. Model ARIMA digunakan untuk memodelkan komponen linear dari data hasil panen kopi, sedangkan metode Fuzzy Time Series Markov Chain digunakan untuk memodelkan komponen non-linear. Uji model dilakukan dengan membandingkan hasil peramalan dari kedua model dengan data aktual. Evaluasi dilakukan dengan menggunakan metrik evaluasi seperti Mean Absolute Percentage Error (MAPE) dan Root Mean Square Error (RMSE). Berdasarkan hasil penelitian, diperoleh kesimpulan bahwa model ARIMA memberikan hasil peramalan yang lebih baik dibandingkan dengan metode Fuzzy Time Series Markov Chain. Namun, perlu diingat bahwa pemilihan model terbaik tidak hanya ditentukan oleh nilai error dan akurasi saja. Terdapat beberapa faktor lain yang perlu dipertimbangkan, seperti karakteristik data, kompleksitas model, dan interpretasi hasil peramalan.
Perbandingan Metode Arima (Box Jenkins), Multiscale Autoregressive (MAR), dan Singular Spectrum Analysis (SSA) untuk Data Non-Stationer dalam Peramalan Data Nilai Ekspor Provinsi Bengkulu FOB (Free On Board) Pelabuhan Baai Januari 2019 - September 2023 Shidigie, A A; Yurike, L; Puspita, D; Julieta, A; Hidayati, N; Putri, M H C
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 1 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i1.32051

Abstract

This research presents a comparison of the performance of three forecasting methods, namely ARIMA (Box Jenkins), Multiscale Autoregressive (MAR), and Singular Spectrum Analysis (SSA), in dealing with non-stationary export data challenges. The focus of the study is on forecasting the export value of Bengkulu Province FOB (Free on Board) Pelabuhan Baai from January 2019 to September 2023. By using ARIMA as a classical approach, MAR and SSA as representations of multiscale and signal decomposition approaches, this study aims to provide a comprehensive understanding of the effectiveness of each method in dealing with dynamic export data characteristics. Performance evaluation is carried out using criteria such as Mean Absolute Percentage Error (MAPE), with the hope of providing valuable insights for selecting the optimal forecasting method in the context of Bengkulu Province's exports.
Analisis Algoritma Greedy untuk Mewarnai Graf Pernanda Putra, Hazel; Sylviani, Sisilia; Candra Permana, Fahmi
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 1 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i1.32261

Abstract

Graph coloring is one of the problems in graph theory. In graph theory, a greedy algorithm is a common algorithms in solving a problem. Greedy algorithms can be used for graph coloring; however, not all of the graph coloring problems that this algorithm uses can optimum outcomes globally. The selection of node sequencing used during the search also affects the success of the greedy algorithm in dealing with graph coloring cases. However, the use of greedy algorithms still helps reduce the number of colors used in non-directed graph coloring.
Implementasi Model Goal Programming untuk Menganalisis Kinerja Keuangan Perusahaan Marsyanda, Meifa Putri; Novianingsih, Khusnul; Kustiawan, Cece
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 1 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i1.33146

Abstract

Company financial reports can be used to analyze a company's financial performance. This research discusses financial performance analysis to determine the company's financial weaknesses and strengths. Using the analysis results, the company can be determined financial policies for the next period, so the company can achieve the optimal financial performance. The financial performing model can be modelled as a multi-objective problem. The model is solved by converting the multi-objective model into a goal programming model. Then, it is solved using the Modified Simplex Method. We implemented the model to analyze the financial report of a big company. The results show that the company has a good financial performance.
Analisa Kestabilan Bebas Penyakit Model SITRS pada Penyebaran Diare Widayati, Ratna; Hamim Muntoha, Renal; Ma'rifah, Umi; Yulianti, Nita
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 1 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i1.33908

Abstract

This study discusses the spread of diarrhea accompanied by complications resulting in death among sufferers. It is assumed that people with diarrhea can transmit the disease to susceptible individuals. Additionally, deaths occurred due to diarrhea when treatment was not administered. Individuals who have contracted diarrhea may acquire temporary immunity and then become susceptible again. The model used is SITRS. Based on the model, disease-free equilibrium points and endemic equilibrium points are obtained. The analysis was conducted around the disease-free equilibrium point, and it was concluded that the disease-free equilibrium point is locally asymptotically stable if R0<1. Furthermore, based on the simulation results, it is shown that the model's solution tends towards a disease-free equilibrium point if R0<1. . This implies that diarrhea will disappear from the population at some point if the infection level R0<1. is met.
Klasifikasi Produktivitas Buah Nanas Menggunakan Algoritma Classification and Regression Tree (CART) Aprihartha, Moch. Anjas; Putrawan, Zulhandi; Zulhan , Dicky; Ahardika Nurfaizal, Fatma
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 1 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i1.34193

Abstract

Indonesia is one of the countries that has a variety of fruits cultivated. One of them is the pineapple fruit. Various pineapple-based products such as pineapple juice, canned foods, pineapple jam, etc. The high demand for pineapples presents an opportunity for companies to increase pineapple product processing. The increase in pineapple productivity is influenced by several factors, one of which is the extent of land and the type of pineapple produced. To improve pineapple productivity, it can be done by classifying the types of pineapples based on productive and non-productive categories. The purpose of this classification is to enable farmers or plantation managers to allocate resources more efficiently by providing more intensive care for productive category pineapples. The classification method that can be used to classify productive and non-productive pineapples is the Classification and Regression Tree (CART) algorithm. The CART method is a method that produces decision tree models that are used to solve classification and regression problems. This research uses the CART method to classify pineapple productivity. The research results obtained accuracies, sensitivities, specificities, and precisions of 97.06%; 92.31%; 100%; 100% respectively. Meanwhile, the AUC obtained is 0.962 which indicates that the model is very good at predicting pineapple productivity correctly.
Pemodelan Berat Badan Lahir Rendah (BBLR) di Kabupaten Buton Tengah Menggunakan Regresi Logistik Makkulau; Baharuddin; Ampa, A T; Ihwal, M; Ningtyas, R A; Salam, A; Afiani, N
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 1 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i1.35873

Abstract

Low Birth Weight (LBW) is a baby's weight at birth less than 2,500 grams. The birth of LBW babies is a major contributor to both short and long term neonatal morbidity and death. The number of LBW in Central Buton Regency reported in 2021 is getting worse than in 2020. Therefore, Logistic Regression Analysis in needed to identify and model the factors that influence LBW cases in Central Buton district. The data used in this study is secondary data on the population of birth weight in infants during the period January – June 2022. Data was obtained from the Medical Record of Puskesmas in Central Buton district, Mawasangka district area and Gu district area. The number of samples in the study was 327 infants. The model produced in this study is ĝ(x) = -37535 + 2,3562X1 + 1,2097X2 + 1,4590X4. From this model, it is known that the factors that significantly affect LBW in Buton Tengah Regency are gestational age (X1), Hb levels (X2) and pregnancy complications (X4) with an accuracy value of 90,51%.
Model Regresi Data Panel pada Faktor-Faktor yang Mempengaruhi Jumlah Kriminalitas Pencurian di Pulau Sumatera Putri, Wine Zea; Irmeilyana, Irmeilyana; Cahyono, Endro Setyo Cahyono
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 2 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i2.37326

Abstract

Sumatra island is the island with the highest theft rate in Indonesia. This study aims to determine the factors that have a significant effect on number of theft crime on the Sumatra Island from 2016 to 2021 by using panel data regression. This research uses panel data regression method which is a combination of cross section and time series data. The data used is secondary data obtained from Central Bureau of Statistics. Research variables include population density (X1), average years of schooling (X2), case completion rate (X3), and number of drug abuse (X4). The best model estimation was carried out for three models, including Common Effect Model (CEM), Fixed Effect Model (FEM), and Random Effect Model (REM). The selection of the best model of three models was carried out through the Chow test, Hausman test, and Lagrange Multiplier test. The best model result is individual effect FEM, with R2 = 94.8%. After partial test, the variables that have significant effect on number of theft crime in Sumatera Island are X2, X3, X4. The MAPE value of the best model is 23.15% which shows a feasible category.
The Relation Between Bézout Domain, Elementary Divisor Domain, and Adequate Domain Rohi, Erlangga Adinugroho; Rosyada, Syahida Amalia; Wahyuni, Sri
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 2 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i2.37436

Abstract

The aim of this paper is to investigate the relationship between Bézout domain, elementary divisor domain, and adequate domain. A Bézout domain is an integral domain D which every finitely generated ideal of D is principal. An integral domain D is called an elementary divisor domain if every matrix over D is equivalent to Smith normal form matrix. An adequate domain D is a Bézout domain and RP(a,b) exists for all a,b∈D with a≠0. Here the notion RP(a,b) defined as the relatively prime part of a with respect to b. It is found that every elementary divisor domain is a Bézout domain, but the converse is not true in general. It is shown the sufficient conditions for the Bézout domain being an elementary divisor domain. We also find out that every adequate domain is an elementary divisor domain. Furthermore, every one-dimensional Bézout domain is an adequate domain.
Hubungan antara Matriks Sirkuit dan Matriks Insidensi dari Suatu Graf Vianney Any Herawati, Maria
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 2 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i2.37478

Abstract

Meskipun penyajian graf dengan gambar yang terdiri dari titik dan busur memberikan cara yang sangat jelas secara visual, akan tetapi ada represantasi lain yang lebih baik untuk pemrosesan graf secara komputer yaitu menggunakan matriks. Selain memudahkan dalam manipulasi aljabar, aljabar matriks dapat dengan mudah diterapkan untuk mempelajari sifat-sifat struktural graf dari sudut pandang aljabar. di antaranya dalam aplikasi teori graf untuk analisis jaringan listrik dan riset operasi. Ada macam-macam representasi matriks dari suatu graf yaitu matriks adjasensi, matriks insidence, matriks sirkuit,, matriks cut-set, dan matriks path. Tulisan ini akan membahas tentang  sifat-sifat matriks sirkuit, matriks insidensi dan sifat yang menghubungkan antara matriks sirkuit dan matriks insidensi graf.

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