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Yopi Andry Lesnussa, S.Si., M.Si
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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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INDONESIA
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
A COMPARISON OF CENTRALITY MEASURES IN SUSTAINABLE DEVELOPMENT GOALS Ariesandy, Sena; Carnia, Ema; Napitupulu, Herlina
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1092.17 KB) | DOI: 10.30598/barekengvol14iss3pp309-320

Abstract

The Millennium Development Goals (MDGs), which began in 2000 with 8 goal points, have not been able to solve the global problems. The MDGs were developed into Sustainable Development Goals (SDGs) in 2015 with 17 targeted goal points achieved in 2030. Until now, methods for determining the priority of SDGs are still attractive to researchers. Centrality measure is one of the tools in determining the priority goal points on a network by using graph theory. There are four measurements of centrality used in this paper, namely degree centrality, betweenness centrality, closeness centrality, and eigenvector centrality. The calculation results obtained from the four measurements are compared dan analyzed, to conclude which goal points are the most prior and the least prior. Furthemore, in this paper we present other example with simple graph to show that each different centrality calculation possibly resulted different priority node, the calculation of this illustration is done using a Python’s library named NetworkX
ANALISIS PERTUMBUHAN DAN PERKEMBANGAN BUAH PALA (Myristica fragrans) MENGGUNAKAN FUNGSI BOLTZMANN Dalengkade, Mario Nikolaus; Karwur, Ferry Fredy
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 (650.197 KB) | DOI: 10.30598/barekengvol14iss4pp619-626

Abstract

Buah yang berasal dari Myristica fragrans merupakan sumber minyak atsiri dengan nilai ekonomi tinggi. Penelitian mengenai buah M. fragrans selama ini hanya memfokuskan pada indentifikasi senyawa bioaktif, penerapannya, dan yield-nya. Tapi penyelidikan mengenai perubahan fisik yakni diameter buah belum adanya pengkajian. Sehingga dalam penelitian ini memfokuskan pada perubahan diameter buah menggunakan fungsi Boltzmann , dan penggunaan fungsi yang dimaksud menunjukan luaran berupa garfik sigmoid semilogaritma. Dari grafik tersebut mencirikan tiga fase perubahan kumulatif diameter. Fase pertama terjadi selama tiga minggu, fase ke dua delapan minggu, dan fase ketiga yakni dua minggu. Disamping itu interpretasi mampu menjelaskan sebab akibat perubahan diameter tersebut.
PENERAPAN MODEL ARIMA UNTUK PERAMALAN JUMLAH KLAIM PROGRAM JAMINAN HARI TUA PADA BPJS KETENAGAKERJAAN KOTA LANGSA Saumi, Fazrina; Amalia, Rizki
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 (825.66 KB) | DOI: 10.30598/barekengvol14iss4pp491-500

Abstract

Social Security (BPJS Ketenagakerjaan) in Langsa is a Public Legal established to organize social security programs for workers. The program is managed by PT. JAMSOSTEK with 4 programs one of which is JHT (Jaminan Hari Tua / Old Age Protection). JHT program is a long-term program that is given periodically at once before participant enter retirment. This research aims to increase the number of claims of BPJS Ketenagakerjaan participants in JHT program with ARIMA model, through the forecast BPJS can increase service with the number of claims from year to year so that the satisfaction level of JHT program participants is guaranteed. Data processing uses MINITAB 18 software with data stationary initial steps, tentavie model identically (p,d,q) model parameter estimation, diagnostic test, and last model used for forecasting. The ARIMA model obtained is ARIMA (4, 1, 2) with a MAPE value of 6.87% which shows excellent forecasting results. The result forecast the number of JHT program claims in BPJS Ketenagakerjaan period August 2019 to December 2019 as may as 444, 403, 419, 336, 404 people, respectively. Based on the results of the forecast, especially that the number of JHT program claims fluctuated, this indicates that BJPS Ketenagakerjaan in Langsa needs to increase the equivalent service for the JHT program.
DETERMINING TRAVEL DELAY OF VEHICLES QUEUE AT A TRAFFIC SIGNAL Cahyono, Setiyo Daru; Tristono, Tomi; Aji, Seno; Utomo, Pradityo
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (750.513 KB) | DOI: 10.30598/barekengvol14iss3pp321-332

Abstract

Mathematical modelling assumes that the vehicle’s volume has a uniform pattern. Due to traffic lights settings, the number of vehicles queue grows linearly. The reality, the stochastic arrivals of the vehicles could be (1) in the randomized arrivals, (2) in the form of groups/ platoon, or (3) in the mixed arrivals. It is observed that the arrival of the vehicles in the queue tends to have a normal pattern. The objective of this research is to study the implications of the arrival categories to the travel delay. For simulation, it uses the numerical method referring to the real state. The result indicates, determining travel delay become precise for all vehicles. It is due to the travel delay formula is represented as a discrete function. The arrival time, departure time, and stop time for each vehicle at the signalized intersection are recorded in the device
TITIK TETAP INVERS TRANSFORMASI BILINEAR DAN TRANSFORMASI BILINEAR KONJUGAT Ansar, Ahmad
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 (545.017 KB) | DOI: 10.30598/barekengvol14iss4pp501-510

Abstract

Bilinear transformation is one of the basic transformations studied in complex function analysis and it has many applications in various fields. This article discusses about the fixed point of bilinear transformation and its properties. The results obtained are used to investigating the fixed point invers bilinear transformation. This article also explains the fixed point of the conjugate bilinear transformation.
IDENTIFIKASI MODEL SELF-EXCITING THRESHOLD AUTOREGRESSIVE DENGAN SWITCHING TWO REGIME (KASUS PADA DATA EKSPOR AGRIKULTUR DI INDONESIA) Riyansyah, Husnun Nur Ghiffari Putri; Saputro, Dewi Retno Sari; Winarno, Bowo
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 (724.939 KB) | DOI: 10.30598/barekengvol14iss4pp511-522

Abstract

A time series model that explain the structural changes associated with data in a certain time period is the Threshold Autoregressive (TAR) model. The basic of the TAR model there are some different usage regimes in autoregressive analysis. One model based on TAR is a self-exciting threshold autoregressive (SETAR) model with the same delay parameters for each regimen. The SETAR model has a linear nature in each regime but being nonlinear if the models of each regime are combined. In addition, this model can improve jump data that cannot be captured by linear time series models. This means that the SETAR model has high-level parameters through an appropriate switching regime that is applied to agricultural export data in Indonesia. The purpose of this reseach is to test the estimated SETAR parameter model and apply it to Indonesian agricultural export data. There are three methods that can be done for estimating of parameter of SETAR model, namely the conditional quadratic sequential method, ordinary least square (OLS) and nonlinear least square (NLS). In this research, the two stage parameter estimation method is used with OLS and the second stage parameter estimation is used to optimisze the parameter values ​​that are not significant in the model. In its application, the SETAR model (2,1,1) was obtained to model agricultural export data in Indonesia and the MAPE value was 25%.
SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD Fikri, Faiqul; Djauhari, Eddy; Rusyaman, Endang
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 (751.455 KB) | DOI: 10.30598/barekengvol14iss4pp523-534

Abstract

Non-linear differential equations with fractional derivative order are mathematical models that are widely used in modeling physical phenomena, one of the applications of these models is non-linear fractional wave equations. Many methods for solving non-linear fractional partial differential equations, one of which is the New Version of Optimal Homotopy Asymptotic Method which is developed by Liaqat Ali in 2016. The author will use this method to solve non-linear fractional wave equations predetermined, so that the convergence of function of the approximation solution non-linear fractional wave equation can be observed and it can be observed that the function of approximation solution of non-linear fractional wave equation solution using the New Version of Optimal Homotopy Asymptotic Method is simple and has a value error using Mean Absolute Percentage Error which is categorized very well
PENTINGNYA UJI ASUMSI KLASIK PADA ANALISIS REGRESI LINIER BERGANDA (STUDI KASUS PENYUSUNAN PERSAMAAN ALLOMETRIK KENARI MUDA [CANARIUM INDICUM L.]) Mardiatmoko, Gun
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
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Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (848.389 KB) | DOI: 10.30598/barekengvol14iss3pp333-342

Abstract

Generally, in the preparation of multiple linear regression or allometric equations, the T and F tests were carried out directly, while various tests are not performed. Therefore, this study aims to provide examples of establishing a good and complete regression equation by presenting a case study of preparing young canary allometric equations. Furthermore, Canary (Canarium Indicum L) was selected because it provides environmental services, especially in handling climate change, which has not been much studied. This article also attempts to establish the allometric equations of young canaries to be used in dealing with climate change. The results obtained by the allometric equation Y = -941,765 + 399,903 X1 + 3,429 X2, showed that it was good because it has undergone several tests, but cannot be operationalized due to the low determinant value of RSquare: 0.318. In order for allometric equations to work and function properly, it is necessary to perform various tests first and once the regression equation is obtained, it should be supported by a high RSquare value
REGRESI NONPARAMAETRIK SPLINE PADA DATA LAJU PERTUMBUHAN EKONOMI DI KALIMANTAN Purnaraga, Tirta; Sifriyani, Sifriyani; Prangga, Surya
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
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Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1252.884 KB) | DOI: 10.30598/barekengvol14iss3pp343-356

Abstract

Economic Growth Rate (EGR) is an important indicator for measuring the success of an economy's development. The welfare and progress of an economy is determined by the amount of growth shown by changes in the quantity of goods and services produced nationally. High economic growth is a goal that is expected to be achieved in a developing country. Many factors affect EGR in Kalimantan, so it is necessary to do modeling to find out the factors that significantly affect EGR. This study uses 6 factors that are suspected to influence EGR, namely the labor force participation rate, the number of large and medium industries, the average length of schooling, regional income and expenditure budgets, general allocation funds and rice productivity. The data is 2017 data obtained from the Central Bureau of Statistics in 5 provinces in Kalimantan. The method used to model the LPE is spline nonparametric regression and the optimal knot point is 3 knot points based on the smallest Generalized Cross Validation (GCV) value of 1.208. The research results, the best model is obtained with a R2 value of 82.15 percent and a Mean Square Error (MSE) of 0.805. The results of the study provide information that the factors that influence the LPE are the level of labor force participation, the number of large and medium industries, the average length of schooling, regional income and expenditure budgets, general allocation funds and rice productivity.
APLIKASI MODEL RANTAI MARKOV UNTUK MENGANALISIS TINGKAT KENYAMANAN DI KOTA MAJENE BERDASARKAN TEMPERATURE HUMIDITY INDEX (THI) Abdy, Muhammad; Sanusi, Wahidah; Rahmawati, Rahmawati
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
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Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (533.888 KB) | DOI: 10.30598/barekengvol15iss1pp009-014

Abstract

This study applied the Markov chain model on the daily temperature and relative humidity data that was collected from the Meteorology and Geophysics Agency station in Majene district for the period 1983 to 2011. This study aims to analyze the comfortable level category in the Majene city based on the Temperature Humidity Index by calculating the probability of steady-state, the mean residence time and the mean first passage time. Categorizing the level of comfortable which is based on the Temperature Humidity Index consists of three categories, namely the comfortable, quite comfortable and uncomfortable. The trend of comfortable levels in the Majene city from 1983 to 2011 was fluctuated in the categories of quite comfortable and uncomfortable. Uncomfortable category occurs in October and November each year. The steady-state probability values indicates that the quite comfortable category has the highest chance of appearance, which is around 70%, and the comfortable category has the smallest chance of appearance, which is only about 5%. Meanwhile, the mean residence time and the mean first passage time indicate that the quite comfortable category have the longest duration of occurrence, which is around 5 days, and has the shortest duration to recur after occurring in the previous event, which is around 1.43 days.

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