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BAREKENG: Jurnal Ilmu Matematika dan Terapan
Published by Universitas Pattimura
ISSN : 19787227     EISSN : 26153017     DOI : https://search.crossref.org/?q=barekeng
Core Subject : Economy, Science, Education, Engineering,
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation
BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure Mathematics (analysis, algebra & number theory), - Applied Mathematics (Fuzzy, Artificial Neural Network, Mathematics Modeling & Simulation, Control & Optimization, Ethno-mathematics, etc.), - Statistics, - Actuarial Science, - Logic, - Geometry & Topology, - Numerical Analysis, - Mathematic Computation and - Mathematics Education. The meaning word of "BAREKENG" is one of the words from Moluccas language which means "Counting" or "Calculating". Counting is one of the main and fundamental activities in the field of Mathematics. Therefore we tried to promote the word "Barekeng" as the name of our scientific journal also to promote the culture of the Maluku Area. BAREKENG: Jurnal ilmu Matematika dan Terapan is published four (4) times a year in March, June, September and December, since 2020 and each issue consists of 15 articles. The first published since 2007 in printed version (p-ISSN: 1978-7227) and then in 2018 BAREKENG journal has published in online version (e-ISSN: 2615-3017) on website: (https://ojs3.unpatti.ac.id/index.php/barekeng/). This journal system is currently using OJS3.1.1.4 from PKP. BAREKENG: Jurnal ilmu Matematika dan Terapan has been nationally accredited at Level 3 (SINTA 3) since December 2018, based on the Direktur Jenderal Penguatan Riset dan Pengembangan, Kementerian Riset, Teknologi, dan Pendidikan Tinggi, Republik Indonesia, with Decree No. : 34 / E / KPT / 2018. In 2019, BAREKENG: Jurnal ilmu Matematika dan Terapan has been re-accredited by Direktur Jenderal Penguatan Riset dan Pengembangan, Kementerian Riset, Teknologi, dan Pendidikan Tinggi, Republik Indonesia and accredited in level 3 (SINTA 3), with Decree No.: 29 / E / KPT / 2019. BAREKENG: Jurnal ilmu Matematika dan Terapan was published by: Mathematics Department Faculty of Mathematics and Natural Sciences University of Pattimura Website: http://matematika.fmipa.unpatti.ac.id
Arjuna Subject : Matematika - Matematika Terapan
Articles 1,248 Documents
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ANALISIS DINAMIK MODEL PENDANGKALAN DANAU LIMBOTO DENGAN PEMBERSIHAN ECENG GONDOK DAN PENGERUKAN ENDAPAN Mahmud, Sri Lestari; Achmad, Novianita
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (994.569 KB) | DOI: 10.30598/barekengvol14iss4pp597-608

Abstract

This article discusses about mathematical model of Limboto lake silting with water hyacinth cleaning solution. Modelling begins with constructing a model based on the factors that affect silting which is then formed into a system of first order differential equations. Furthermore, the model is analyzed by looking for equilibrium and stability. To see the condition of lake silting based on the stability condition, a numerical simulation was performed. The simulation results show that with water hyacinth cleaning, the lake will maintain its existence, which is indicated by an increase the Limboto lake volume, although there is still a decrease in volume due to the presence of sediment and nutrients from the river.
PENGELOMPOKAN DATA PELAYANAN KESEHATAN DI KOTA MAKASSAR MENGGUNAKAN WARD’S METHOD Muthahharah, Isma; Juhari, Agusalim
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (671.213 KB) | DOI: 10.30598/barekengvol14iss4pp627-632

Abstract

In health services, the quality of service places patients as the party who consumes and enjoys health services, including those that most determine the quality of health services. The Makassar city health office noted that the people served in 2018 reached 81.77% compared to 2017 which was only 81.71%. The data released by the health department have not shown specifically which districts had very good, pretty good, and poor health services during the Covid-19 pandemic. Therefore, we need a classification method, namely the ward's method. Health services in this study include hospitals, health centers, home care and telemedicine in 15 sub-district locations. Based on the results of the analysis formed 3 clusters, namely cluster 1 with members of the sub-districts of Biringkanaya, Bontoala, Makassar, Manggala, Tallo, Tamalanrea, and Wajo which have pretty good health services. cluster 2 with sub-district members namely Mamajang, Panakkukang, Rappocini, Ujung Pandang, and Sangkarang Islands which have very good health services, cluster 3 with members of Mariso, Tamalate and Ujung Tanah sub-districts which have poor health services.
OPTIMASI BIAYA DISTRIBUSI BERAS MISKIN (RASKIN) MENGGUNAKAN MASALAH TRANSPORTASI TAK SEIMBANG Ilwaru, Venn Yan Ishak; Lesnussa, Yopi Andry; Tentua, Jesica
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (735.262 KB) | DOI: 10.30598/barekengvol14iss4pp609-618

Abstract

Rice is the staple food for the majority of Indonesian population. As the population increases, the need for rice also increases. Rice distribution is very important in terms of budget and time efficiency. The purpose of this research was to minimize the distribution costs of poor rice (RASKIN) by using the ASM (Abdul, Shaleh, Maliki) modification method, so that the distribution costs obtained were optimal. This research was conducted at Perum BULOG Ambon Sub Divre Maluku. Based on the research results, it shows that by using the ASM modification method the distribution costs incurred by Perum BULOG Ambon Sub Divre Maluku is Rp. 1,091,121,022.
PENGENALAN EKSPRESI RAUT WAJAH BERBASIS JARINGAN SARAF TIRUAN BACKPROPAGATION DENGAN METODE PRINCIPAL COMPONENT ANALYSIS Harizahayu, Harizahayu
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (483.628 KB) | DOI: 10.30598/barekengvol15iss1pp037-046

Abstract

The development of artificial neural networks is related to statistical and biometric analysis which is one of the applications that can require artificial neural network models. Recognition of facial patterns is an important part of identifying a person. The face can be divided into areas such as the nose, eyes and mouth. Face pattern recognition is a research area that can be applied to the principal component analysis (PCA) method. The training process carried out by the eigenface calculation uses PCA and the results of this study show that facial pattern recognition based on the proportion of memorization and generalization for the use of the method without PCA is better than facial pattern recognition using PCA. Pattern recognition without using the PCA method, the level of memorization and generalization reaches 100% at the 40th iteration and 0.0099 error with a learning rate and momentum of 0.8, while facial pattern recognition using the PCA method, the memorization and generalization level reaches 100% in the iteration. to -1000 and error 0.00103 with learning rate and momentum 0.9.
SIFAT-SIFAT DAN KEJADIAN KHUSUS DISTRIBUSI GAMMA Warella, Royke Yohanes; Wattimanela, Henry Junus; Ilwaru, Venn Yan Ishak
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (559.319 KB) | DOI: 10.30598/barekengvol15iss1pp047-058

Abstract

The gamma distribution is one of special continuous random variable distribution with scale parameter and shape parameter where is positive real numbers. On some conditions the gamma distribution astablishes other continuous distributions which are then called special cases of the gamma distribution. Therefore, this study was conducted to determine the properties of gamma distribution and the characteristics of the special cases of gamma distribution by analyzed the theories from literatures. The properties of gamma distribution include expectation value, variance, moment generating function, characteristic function, and estimation of gamma distribution parameters with the moment method to earn the special cases of the gamma distribution are Erlang, exponential, chi-square, and beta distributions.
COMBINATION OF INTEGRATION ANALYTIC HIERARCHY PROCESS AND GOAL PROGRAMMING FOR MULTI-OBJECTIVE OPTIMIZATION PROMOTION PROGRAM TELECOMMUNICATION SERVICES INDUSTRY Fhilya, Charlitta; Lesnussa, Yopi Andry; Ilwaru, Venn Yan Ishak
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (501.223 KB) | DOI: 10.30598/barekengvol15iss1pp059-068

Abstract

In the globalization era, almost everyone uses the telecommunications in everyday life. The dependence on telecommunication service provider forces the service provider industry to expand the network and offer affordable promotions for all levels of the community. Based on that, “PT. Telkom Indonesia Tbk” as one of the Indonesian companies in the telecommunication sector, must have a strategy of promotion in selling Indihome internet products.This research using the Analytic Hierarchy Process to determine weights from many promotion criteria and various alternatives, and then, using Goal Programming to find the minimum cost promotion by choosing alternatives based on the criteria. The result of this research is obtaining eight effective of nine existing promotional program.
PENDUGAAN PROPORSI RUMAH TANGGA MISKIN TINGKAT DESA DI PROVINSI BALI DENGAN METODE EMPIRICAL BEST LINEAR UNBIASED PREDICTION DAN BAYESIAN Sukarsa, I Komang Gde; Gandhiadi, I. G. K
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 2 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (437.711 KB) | DOI: 10.30598/barekengvol15iss2pp215-222

Abstract

Kebijakan pengentasan kemiskinan pada pemerintahan presiden Ir. H. Joko Widodo dilakukan melalui empat strategi kunci yang salah satunya adalah pemberdayaan kelompok masyarakat miskin. Ketersediaan informasi mengenai kemiskinan sangatlah minim padahal untuk menerapkan strategi kebijakan tersebut seharusnya dimulai pada kelompok masyarakat terkecil yakni masyarakat desa. Guna memperoleh informasi kemiskinan pada tingkat desa, penelitian ini menerapkan metode pendugaan area kecil sebagai akibat kurang efektifnya pendugaan langsung pada area kecil. Metode pendugaan area kecil yang umum digunakan yakni metode empirical best linear unbiased prediction (EBLUP), empirical Bayes (EB), dan metode hierarchical Bayes (HB). Hasil yang diperoleh pada pendugaan area kecil pada tingkat desa di Provinsi Bali menujukkan bahwa dugaan proporsi rumah tangga miskin di tingkat desa di Provinsi Bali berada di antara 0,00423 dan 0,03910 serta nilai mean square error yang berada di antara 0,0013 dan 0,1291 diperoleh melalui metode hierarchical Bayes, kemudian untuk metode empirical Bayes diperoleh dugaan proporsi rumah tangga miskin di antara 0,00423 dan 0,03909 serta nilai mean square error di antara 0,0011 dan 0,1288 dan metode empirical best linear unbiased prediction diperoleh dugaan proporsi rumah tangga miskin berada di antara 0,00425 dan 0,03910 serta nilai mean square error di antara 0,00010 dan 0,1291. Secara umum nilai mean square error berada di kisaran yang sama. Sehingga ketiga metode pendugaan tidak dapat disimpulkan yang lebih baik satu dengan yang lainnya.
PEMODELAN DINAMIKA VIRUS RUBELLA DENGAN RISIKO SINDROM RUBELLA BAWAAN Abadi, Abadi; Artiono, Rudianto; Prawoto, Budi Priyo
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (473.89 KB) | DOI: 10.30598/barekengvol15iss1pp069-076

Abstract

Rubella is a common cause of childhood rash and fever. It is typically a mild infection but it can be serious condition in pregnant women, as it may cause Congenital Rubella Syndrome (CRS) in the fetus. The study aimed to model and analyze it in order to get picture about the dynamics of the rubella virus transmission. The paper discussed two models of rubella transmission involving child-bearing age women and newly born infants of infected mothers. The models are SEIR-IR without seasonality and SEIR-IR with seasonality. The results from the first model showed that a pitchfork bifurcation occurred in the dynamics of the solution of the system with constant infection rate and the increase of the infection rate value do not make impact to the incidence of rubella among infants. The second model involving seasonality gave interesting dynamics where big seasonality may lead to a more complex dynamics of the solution.
FUNGSI ELEMEN KELAS STUMMEL MODULUS TERBATAS TETAPI BUKAN ELEMEN DARI KELAS STUMMEL Tumalun, Nicky Kurnia
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (369.717 KB) | DOI: 10.30598/barekengvol15iss1pp077-084

Abstract

In the paper [1], it was given a function which belongs to the bounded Stummel modulus classes but not in Stummel classes. The given proof of this function properties in that paper was not obvious and very concise. By using the countable linearity property of integral, polar coordinate of integration, other properties of Lebesgue measure and integration, and some observation on the geometric property of the open ball in Euclidean spaces, we prove in detail the properties of this function.
METODE ALTERNATIF DALAM MENENTUKAN SOLUSI PARTIKULAR PERSAMAAN EULER-CAUCHY Kiftiah, Mariatul; Yudhi, Yudhi; Yanitami, Alvi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (361.684 KB) | DOI: 10.30598/barekengvol15iss1pp085-094

Abstract

Euler-Cauchy equation is the typical example of a linear ordinary differential equation with variable coefficients. In this paper, we apply the alternative method to determine the particular solution of Euler-Cauchy nonhomogenous with polynomial and natural logarithm form. An explicit formula of the particular solution is derived from the use of an upper triangular Toeplitz matrix. The study showed that this method could be finding the particular solution for the Euler-Cauchy equation

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