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Redaksi BAREKENG: Jurnal ilmu matematika dan terapan, Ex. UT Building, 2nd Floor, Mathematic Department, Faculty of Mathematics and Natural Sciences, University of Pattimura Jln. Ir. M. Putuhena, Kampus Unpatti, Poka - Ambon 97233, Provinsi Maluku, Indonesia Website: https://ojs3.unpatti.ac.id/index.php/barekeng/ Contact us : +62 85243358669 (Yopi) e-mail: barekeng.math@yahoo.com
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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
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
Articles 1,248 Documents
EKSPLORASI ETNOMATEMATIKA PADA BATIK GAJAH MADA MOTIF SEKAR JAGAD TULUNGAGUNG Afifah, Dian Septi Nur; Putri, Ika Mariana; Listiawan, Tomi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1245.632 KB) | DOI: 10.30598/barekengvol14iss1pp101-112

Abstract

Ethnomathematics is mathematics that found in the culture. The purpose of this research is to explore mathematical concepts in Gajah Mada Batik’s Motif Sekar Jagad Tulungagung. The research method used is qualitative method with an ethnographic approach. Data collection techniques used library studies, interview, and documentation. Data analysis techniques used data reduction, data presentation, conclusion. Checking the data validity is done by extending the observation, increasing perseverance, using reference material, member check. The result of this research, in Gajah Mada batik’s there are mathematical concepts in the form of two-dimensional figure, transformation geometry, angles, and line. The two-dimensional figure found in this batik is parallelogram, ellipse, rhombus. The transformation geometry that found in this batik is reflection. While the angles and line that found in this batik are obtuse, parallel line, opposite angle, upfront angle, opposite interior angle, opposite outside angle, upfront interior angle, upfront outside angle.
ANALISIS FAKTOR YANG MEMPENGARUHI STATUS PENERIMAAN BERAS KELUARGA MISKIN MENGGUNAKAN REGRESI LOGISTIK BINER DI KECAMATAN LANGSA BARAT Amelia, Amelia; Mulyani, Fitra; Nabilla, Ulya
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 2 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1187.294 KB) | DOI: 10.30598/barekengvol14iss2pp175-186

Abstract

Poverty is an inability to meet basic needs measured by expenditure, including rice consumption. Based on data from the Central Statistics Agency (BPS), as much as 95% of Indonesia's population consumes rice as the main food, with an average rice consumption of 102 kg/person/ year (BPS, 2013). Furthermore, BPS stated that almost 1/4 of them or around 25.95 million people were included in the category of the poor population as of March 2018. So the government made a policy to tackle the problem through the program of giving poor family rice (Raskin), namely subsidized rice assistance to households poor. However, in the implementation of the Raskin program, there was a deviation of around 40% of Indonesia's population with a middle-upper social-economic status receiving Raskin and 12.5% ​​of the population with a socio-economic status upon receiving Raskin. Therefore this study aims to analyze the significant factors that affect the status of rice in poor families using binary logistic regression analysis. The location of the study was conducted in the District of West Langsa because the district was one of the districts receiving the most Raskin in the City of Langsa. The data used in this study are primary data and secondary data. The results showed that the factors influencing the status of Raskin's acceptance were education level, floor type, fuel type, food expenses, and frequency of purchasing new clothes with prediction classification prediction of 72.2%.
ANALISIS SPASIAL SEBARAN PENYAKIT MENULAR KOTA MAKASSAR TAHUN 2018 Sukarna, Sukarna; Awi, Awi; Sutamrin, Sutamrin
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (668.269 KB) | DOI: 10.30598/barekengvol14iss1pp113-122

Abstract

Population density correlates spatially with various aspects of community life, such as the number of people with infectious and non-infectious diseases, seasonal (endemic) or non-seasonal (epidemic), mild or severe, and regular or rare. This research focuses on 8 infectious diseases, namely measles, diphtheria, diarrhea, typhoid, malaria, helminthiasis, TB, and DHF. Data on infectious diseases in 2018 were obtained from the Makassar City Health Service Office, which was sourced from 46 puskesmas throughout Makassar City. The results of this study are (1) The limited data, thus, this study focuses on only 8 diseases; (2) Based on the results of the analysis of univariate cluster Moran index, there are (a) the two highest warnings of disease distribution attributed to the districts, namely diarrhea (in Sangkarrang, Ujungtanah, and Mariso) and helminthiasis (in Singkarang); (b) patterns of spread of infectious diseases (this article shows only one thematic map of disease) and spread from nothing significant to very significant; (c) the spread of infectious diseases appears uneven in each district and tends to occur in certain districts, such as (i) Measles have 3 districts (Biringkanaya, Tamalanrea, and Bontoala), (ii) Diphtheria there are 2 districts (Tamalanrea and Biringkanaya), ( iii) Diarrhea only in Panakkukang District, (iv) Malaria only in Ujungtanah, (v) Worms in 4 districts (Manggala, Rappocini, Makassar, and Ujungpandang), (vi) DHF only in Panakkukang District, (vii) Typhoid and TB are not significant.
OPTIMASI BIAYA OPERASIONAL PADA KRL COMMUTER LINE DENGAN PEMBERANGKATAN KERETA Luciana, Shelen; Aman, Amril; Bakhtiar, Toni
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (863.533 KB) | DOI: 10.30598/barekengvol14iss1pp123-134

Abstract

Optimal trainset dispatching can reduce passenger build-up and optimize operational costs. This research aimed to create a model of trainset dispatching for each time slot with minimum operational costs so that passenger demand can be met. The parameters in this research are the number of passengers getting-on and getting-off, the availability of each type of train series, train capacity, operational costs, and time limits for using the training series during operational hours. The model was formed into integer linear programming and resolved with Lingo 11.0 software. This model is applied in one direction from Bogor station to the Jakarta Kota commuter line. Trainset dispatching is done by selecting the 8 SF, 10 SF, and 12 SF trainset types with minimum operational costs at each time slot. The optimum results obtained during operational hours need to dispatch 56 trainset trips. Due to the limitations of the study the optimum operational cost of trainset dispatched is obtained 302C.
PERAMALAN TRANSAKSI PEMBAYARAN NON-TUNAI MENGGUNAKAN ARIMAX-ANN DENGAN KONFIGURASI KALENDER Putera, Muhammad Luthfi Setiarno
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (918.678 KB) | DOI: 10.30598/barekengvol14iss1pp135-146

Abstract

Huge internet usage boosts transactions using non-cash payment. In Indonesia, lots of activities and transactions are influenced by calendar movement, particularly that of the Islamic calendar. This work is to obtain the model and to forecast total non-cash payment with calendar configuration as an exogenous variable. The methods being compared are ARIMA, ARIMAX, and hybrid ARIMAX-ANN. The best model to forecast a total of non-cash payment is ARIMAX-ANN due to the least RMSE, Rp 20,9 trillion. The specification of the best model is ARIMAX (2,1,1) combined with ANN whose input is selected through stepwise regression. Besides satisfying residual assumption, ARIMAX-ANN is quite well in capturing the dynamics and trend of non-cash payment, particularly that in Ied-Fitr month and end of the year.
MODEL DESENTRALISASI DUAL CHANNEL CLOSED-LOOP SUPPLY CHAIN DENGAN PROSES DAUR ULANG PIHAK KETIGA DAN WAKTU TUNGGU PENGIRIMAN Setiyowati, Ririn; Sutanto, Sutanto; Winaro, Bowo
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 2 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (643.979 KB) | DOI: 10.30598/barekengvol14iss2pp187-194

Abstract

Dual channel closed loop supply chain (DC-CLSC) is a mathematical model that describes a set of supply chain activities that use two sales channel and used products that have been used by consumers back to manufacturer. In this research, the DC-CLSC model was developed with third-party recycling process and delivery lead time. The model obtained is used to determine the optimal decision variables consisting of wholesale prices, price in the online channel, price from retailers, rewards given to third parties, and the recovery rate. Based on the results of optimal solution and numerical simulation he model obtained is used to determine the optimal decision variables consisting of wholesale prices, prices in the online channel, prices from retailers, rewards given to third parties, and the recovery rate.
MODEL SPACE TIME AUTOREGRESSIVE INTEGRATED (STARI) UNTUK DATA DEBIT AIR SUNGAI CITARUM DI PROVINSI JAWA BARAT Alawiyah, Mutik; Kusuma, Dianne Amor; Ruchjana, Budi Nurani
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (911.908 KB) | DOI: 10.30598/barekengvol14iss1pp147-158

Abstract

Rainfall in West Java during the rainy season is quite high. This causes the area around the watershed to experience flooding. However, in the dry season the Citarum watershed experiences drought. Changes in the Citarum river water discharge from time to time is not only influenced by time but also influenced by the location around it. To forecast the Citarum river water discharge data, the Space Time Autoregressive Integrated (STARI) model can be used. In this study, the STARI model was applied to the Citarum river water discharge data at all four observation sites. Based on the stationary data, it showed that the data is not stationary, so the differencing process must first be done 1 time. The identification of the order of the AR model was one because the PACF plot was truncated in lag 1. The spatial lag used in this study was the spatial lag of order 2, so the Citarum river water discharge could be predicted with the STARI model. Estimation of STARI) model parameters with a uniform weight matrix was ​estimated by the MLE method with the help of R and S-Plus 8.0 softwares. STARI model with MAPE less than 10% was used for predicting Citarum river water discharge data for the four observation locations, thus the STARI model can be recommended to predict Citarum river water discharge data.
CLOSED-LOOP SUPPLY CHAIN WITH DELIVERY LEAD TIME ON DIRECT AND INDIRECT CHANNEL Sulastri, Endang; Setiyowati, Ririn; Siswanto, Siswanto
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 2 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (808.877 KB) | DOI: 10.30598/barekengvol14iss2pp195-204

Abstract

The responsbility of protecting the environment rest with all parties, including manufacturers. Therefore, manufacturers reprocess their used products. Mathematically, it can be explained by closed-loop supply chain (CLSC) model. CLSC is a system that is carried out recycling or remanufacturing. In this study, closed-loop supply chain involves manufacturer and two retailers. Manufacturers sell their product directly to consumers and indirectly through retailers. The purpose of this study is to construct an optimal profit function of each actor. With centralized system, the model is a function of price without constraints by notice delivery lead time. The result shows that delivery lead have an impact to profit each actor. The longer delivery lead time decreases the profit.
FUNGSI GREEN UNTUK PERSAMAAN DIFUSI-ADVEKSI DENGAN SYARAT BATAS DIRICHLET Josua, Josua; Noviani, Evi; Fran, Fransiskus
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 2 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (976.698 KB) | DOI: 10.30598/barekengvol14iss2pp205-216

Abstract

Diffusion-advection is the process of transportation of matter from one part of a system to another as a result of random molecular motions involving fluid transport processes in the form of mean flow or currents which are driven by gravity or pressure forces and in the form of horizontal motions. Mathematically, diffusion-advection equation can be written as where is concentration of material in the fluid, stands for the advection velocity, and for diffusion coefficient. In this paper, a solution is sought by using the Green’s function concept. The general solution for Green’s function that can be solved in two parts, namely, the principal solution and the regular solution. The principal solution is obtained by applying the Fourier transform to the variable which is denoted by and then calculate the inverse of its transform. A regular solution is obtained based on an inspection approach that is designed on a negative heat source.
ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI Pertiwi, Julia Indah; Putri, Arrival Rince; Efendi, Efendi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 2 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (940.805 KB) | DOI: 10.30598/barekengvol14iss2pp217-226

Abstract

Vaccination is one of the methods to control and prevent the spread of infectious diseases. SIR model (susceptible, infected, recovered) without and with vaccination were developed. The behavior of the solutions of the two models is analyzed through stability analysis around the equilibrium points. The stability is also associated with a threshold number indicating the population is free or infected. Analytical results are confirmed with numerical results that are presented on the graphic solution and phase portrait. The results of numerical simulations conclude that vaccination is more effective for inhibiting the transmission of the disease than without vaccination

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