BAREKENG: Jurnal Ilmu Matematika dan Terapan
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
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<![CDATA[A COMPARISON OF CENTRALITY MEASURES IN SUSTAINABLE DEVELOPMENT GOALS ]]>
<![CDATA[Ariesandy, Sena]]>;
<![CDATA[Carnia, Ema]]>;
<![CDATA[Napitupulu, Herlina]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp309-320
<![CDATA[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]]>
<![CDATA[DETERMINING TRAVEL DELAY OF VEHICLES QUEUE AT A TRAFFIC SIGNAL ]]>
<![CDATA[Cahyono, Setiyo Daru]]>;
<![CDATA[Tristono, Tomi]]>;
<![CDATA[Aji, Seno]]>;
<![CDATA[Utomo, Pradityo]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp321-332
<![CDATA[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]]>
<![CDATA[PENTINGNYA UJI ASUMSI KLASIK PADA ANALISIS REGRESI LINIER BERGANDA (STUDI KASUS PENYUSUNAN PERSAMAAN ALLOMETRIK KENARI MUDA [CANARIUM INDICUM L.]) ]]>
<![CDATA[Mardiatmoko, Gun]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp333-342
<![CDATA[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]]>
<![CDATA[REGRESI NONPARAMAETRIK SPLINE PADA DATA LAJU PERTUMBUHAN EKONOMI DI KALIMANTAN ]]>
<![CDATA[Purnaraga, Tirta]]>;
<![CDATA[Sifriyani, Sifriyani]]>;
<![CDATA[Prangga, Surya]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp343-356
<![CDATA[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.]]>
<![CDATA[PENERAPAN MODEL PEMBELAJARAN SNOWBALL THROWING UNTUK MENINGKATKAN KEAKTIFAN MATEMATIS MATERI LINGKARAN PADA SISWA SMP ]]>
<![CDATA[Novitasari, Julia]]>;
<![CDATA[Pujiastuti, Heni]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp357-364
<![CDATA[Student activeness in the class student of VIII H SMPN 1 Ciruas second term 2019/2020 year on mathematics subjects on circle material still in percentage 59,64% of the total 33 students, so that result less than expected value by researcher which is 65%. Based on these problems, it is necessary to make improvements to the learning model. For that researchers conduct research with the purpose to increase student activity in mathematics. Method of research is classroom action research. The object of the research is the application of the snowball throwing model. This research was conducted in two cycles, cycle I consists of one meeting and cycle II consists of two meetings. Stages in this cycle is (1)Planning, (2)Action, (3)Observer, (4)Reflection. The data collection method used were observation, questionnaires and documentation. Based on the results of data analysis by descriptive quantitative obtained, that an increase in student activity with a percentage of activity in cycle I to cycle II. Cycle I from the observations of researchers, it was found that the results of student activeness were equal to 45,88% and from the questionnaire is 59,64%. Then on cycle II reaches a value of 67,09% from the activeness standard set by the researcher which is 65%. So that the percentage in crease can be obtained from the cycle I to cycle II. The conclusion is that by applying the snowball throwing learning model on learning mathematics circle material in class student VIII H SMPN 1 Ciruas an increase in student activity.]]>
<![CDATA[PENGARUH HARI RAYA IDUL FITRI TERHADAP INFLASI DI INDONESIA DENGAN PENDEKATAN ARIMAX (VARIASI KALENDER) ]]>
<![CDATA[Susila, Muktar Redy]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp369-378
<![CDATA[The inflation rate is very important for the government to maintain the stability of the country's economy. If inflation cannot be controlled, the prices of goods and services will rise uncontrollably. Eid al-Fitr causes increase basic needs price. It is assumed that abnormal prices have an effect on inflation. The purpose of this study is to calculate the effect of Eid Al-Fitr to Indonesian monthly inflation. The ARIMAX (Calendar Variation) method is used to determine the effect of Eid Al-Fitr on Indonesian monthly inflation. The data used in this study is the monthly inflation by Badan Pusat Statistik. The characteristics of inflation in July 2008 to June 2019 are unique. The average of inflation is 0,39 and the variance of inflation is 0,26. The ARIMAX model shows that January, May, June, July, August, November, December, and Eid Al-Fitr has a significant effect on Indonesian monthly inflation. The effect of the Eid Al-Fitr was 0,47. The meaning of this number is that when Eid al-Fitr arrives, inflation will increase by 0,47.]]>
<![CDATA[APPLICATION OF DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING HIV MODEL WITH ANTI-VIRAL TREATMENT ]]>
<![CDATA[Bunga, Esther Y.]]>;
<![CDATA[Ndii, Meksianis Z.]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp378-388
<![CDATA[Mathematical models have been widely used to understand complex phenomena. Generally, the model is in the form of system of differential equations. However, when the model becomes complex, analytical solutions are not easily used and hence a numerical approach has been used. A number of numerical schemes such as Euler, Runge-Kutta, and Finite Difference Scheme are generally used. There are also alternative numerical methods that can be used to solve system of differential equations such as the nonstandard finite difference scheme (NSFDS), the Adomian decomposition method (ADM), Variation iteration method (VIM), and the differential transformation method (DTM). In this paper, we apply the differential transformation method (DTM) to solve system of differential equations. The DTM is semi-analytical numerical technique to solve the system of differential equations and provides an iterative procedure to obtain the power series of the solution in terms of initial value parameters. In this paper, we present a mathematical model of HIV with antiviral treatment and construct a numerical scheme based on the differential transformation method (DTM) for solving the model. The results are compared to that of Runge-Kutta method. We find a good agreement of the DTM and the Runge-Kutta method for smaller time step but it fails in the large time step]]>
<![CDATA[PEMODELAN ARUS LALU LINTAS DAN WAKTU TUNGGU TOTAL OPTIMAL DI PERSIMPANGAN JL. JEMUR ANDAYANI AHMAD YANI SEBAGAI UPAYA MENGURAI KEMACETAN ]]>
<![CDATA[Farida, Yuniar]]>;
<![CDATA[Fanani, Aris]]>;
<![CDATA[Purwanti, Ida]]>;
<![CDATA[Wulandari, Luluk]]>;
<![CDATA[Zaen, Nanida Jenahara]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp389-398
<![CDATA[One crossroad of ​​Surabaya whose high level of congestion is the crossing of Jemur Andayani – Ahmad Yani Street. It needs to Improve traffic management, geometric, and signal time to obtain optimal traffic performance. The purpose of this study is to make a model of traffic flow and determine the optimal total waiting time at the crossing of Jemur Andayani – Ahmad Yani using Compatible Graph. Compatible graphs are two sets where vertices indicate objects to be arranged and edges indicate compatible pairs of objects. Compatible traffic flow is two traffic flows which if both of them run simultaneously can run safely and not collide. The results of the optimal waiting time calculation using a compatible graph assuming the left turn following the lamp is 75 seconds. While the optimal total waiting time by assuming the left turn not following the lights is 60 seconds. The optimal total waiting time is smaller than the actual total waiting time currently applied at Frontage Ahmad Yani street, which is 170 seconds by assuming turn left following the lights.]]>
<![CDATA[PERAMALAN SUHU UDARA DAN DAMPAKNYA TERHADAP KONSUMSI ENERGI LISTRIK DI KALIMANTAN TIMUR ]]>
<![CDATA[Susanti, Lisa]]>;
<![CDATA[Hasanah, Primadina]]>;
<![CDATA[Winarni, Winarni]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp399-412
<![CDATA[The increase in air temperature due to climate change and global warming has become a major concern for policy makers, one of which is the government of East Kalimantan. Electric energy consumption has a close relationship with economic development in East Kalimantan. So it is necessary to forecast the temperature of air in order to predict the consumption of electrical energy in the future. The purpose of this study was to determine the forecasting of air temperatures in East Kalimantan, namely the cities of Balikpapan, Samarinda and Berau and to determine the relationship between air temperature and electricity consumption in East Kalimantan. In this study, the method used is the ARIMA (Autoregressive Integrated Moving Average) and multiple linear regression methods. The results of the analysis using the ARIMA method obtained the best models for the cities of Balikpapan, Samarinda and Berau respectively, namely ARIMA(1,1,1), ARIMA(1,1,1) and ARIMA(3,1,0). Based on the results of multiple linear regression obtained R-square value of 39%, which mean that the influence of air temperature on the consumption of electrical energy is 39%. From the results of the t test and F test, it is known that air temperature has a significant effect on the increase in electricity consumption in East Kalimantan]]>
<![CDATA[PENERAPAN MODEL INTEGER LINEAR PROGRAMMING DALAM OPTIMASI PENJADWALAN PERKULIAHAN SECARA OTOMATIS ]]>
<![CDATA[Wungguli, Djihad]]>;
<![CDATA[Nurwan, Nurwan]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan ]]>
Publisher : <![CDATA[MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA ]]>
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DOI: 10.30598/barekengvol14iss3pp413-424
<![CDATA[Lectures scheduling is a difficult administrative task for universities. This happens because in lectures scheduling must combine the number of courses, approve the room, day and period, as well as teaching lecturers. The purpose of this article is to create an optimization model for courses scheduling using integer linear programming to minimize the level of dissatisfaction between lecturers and students. This model is applied to making a schedule in the Mathematics Study Program at Gorontalo State University. In this research, data and information collected about the scheduling of lectures as a basis for making models. There are 55 study groups scheduled in 4 rooms, 5 days and 12 time periods. Furthermore, the scheduling optimization model is made in the form of integer linear programming and is solved by LINGO 18.0 software. The result obtained from this study is a lecture schedule that is free of conflict. Lectures scheduling produced meets the requirements and requests for lecturers and students in the Mathematics Study Program. In addition, the resulting model can help the time needed to do the scheduling.]]>
