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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
Mathematics
Jurnal Matematika (p-ISSN: 1693-1394 |e-ISSN: 2655-0016| DOI: 10.24843/JMAT ) is an open access journal which publishes the scientific works for researchers. The articles of this journal are published every six months, that is on June and December.
Arjuna Subject : -
Articles 187 Documents
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Analisis Model Regresi Data Panel Tidak Lengkap Komponen Galat Dua Arah dengan Penduga Feasible Generalized Least Square (FGLS) Chrisna Anzella Jacob; I Wayan Sumarjaya; Made Susilawati
Jurnal Matematika Vol 4 No 1 (2014)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2014.v04.i01.p42

Abstract

Data panel didefinisikan sebagai kumpulan pengamatan pada data tabulasi silang yaitu setiap objek yang sama diamati dari waktu ke waktu. Data panel yang memiliki jumlah pengamatan waktu berbeda di setiap objek pada data tabulasi silang disebut data panel tidak lengkap. Penelitian ini mencari nilai dugaan terhadap model regresi data panel tidak lengkap yang mengasumsikan pada random effect models dengan komponen galat dua arah.  Pendugaan dilakukan dengan terlebih dahulu mencari taksiran komponen variansi galat dua arah, kemudian melakukan penaksiran koefisien regresi data panel tidak lengkap dengan metode feasible generalized least square (FGLS).  
Dimensi Metrik Pada Graf Starbarbell dan Hasil Operasi Edge Corona Pada Graf Cycle dan Graf Path Putri Dea Sari; Tri Atmojo Kusmayadi
Jurnal Matematika Vol 10 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i01.p121

Abstract

AN APPROXIMATE FORMULA FOR THE STRESS INTENSITY FACTOR FOR THE PRESSURIZED STAR CRACK D. L. CLEMENTS; N. WIDANA
Jurnal Matematika Vol. 1, No. 1 April 2007
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2007.v01.i01.p06

Abstract

An elementary approximate formula for the stress intensity factor for the pressurized starcrack is estab-lished. The formula is sufficiently accurate to be used in practical applications inplace of the more complex formulas derived by Westmann [1] and Williams [2]. © 2003 ElsevierScience Ltd. All rights reserved.
Perhitungan Iuran Normal Program Pensiun dengan Asumsi Suku Bunga Mengikuti Model Vasicek I Nyoman Widana; Ni Made Asih
Jurnal Matematika Vol 7 No 2 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2017.v07.i02.p85

Abstract

Labor has a very important role for national development. One way to optimize their productivity is to guarantee a certainty to earn income after retirement. Therefore the government and the private sector must have a program that can ensure the sustainability of this financial support. One option is a pension plan. The purpose of this study is to calculate the normal cost with the interest rate assumed to follow the Vasicek model and analyze the normal contribution of the pension program participants. Vasicek model is used to match with the actual conditions. The method used in this research is the Projected Unit Credit Method and the Entry Age Normal method. The data source of this research is lecturers of FMIPA Unud. In addition, secondary data is also used in the form of the interest rate of Bank Indonesia for the period of January 2006-December 2015. The results of this study indicate that the older the age of the participants, when starting the pension program, the greater the first year normal cost and the smaller the benefit which he or she will get. Then, normal cost with constant interest rate greater than normal cost with Vasicek interest rate. This occurs because the Vasicek model predicts interest between 4.8879%, up to 6.8384%. While constant interest is only 4.25%. In addition, using normal cost that proportional to salary, it is found that the older the age of the participants the greater the proportion of the salary for normal cost.
The Determinants of Customers’ Loyalities of Smartphone I Putu Eka N. Kencana; Gede Satria Suputra
Jurnal Matematika Vol 5 No 2 (2015)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2015.v05.i02.p59

Abstract

This research aimed to study the effect of brand image, users’ expectation, and users’ satisfaction  as the determinants for users’ loyalties of Samsung Smartphone by applying Partial Least Square–Structural Equation Modeling (PLS-SEM) method. Data gathered from 100 Samsung smartphone users at Denpasar, Indonesia were collected using questionnaires with 5 Likert’s scales during February–May 2015.  The results showed users’ loyalties was significantly affected by image of Samsung and users’ expectation.  The path coefficients for these causal relationships were 0.533 and -0.230 respectively, demonstrated images’ effect very dominant in forming users’ loyalties.  In addition, products’ image significantly affect users’ satisfaction, but user’s satisfaction did not significantly affect users’ loyalties. The final model had Goodness-of-Fit (GoF) index as much as 0.495 shows the model was sufficient to use for elaborating the relationship between contracts.
Boosting Neural Network dan Boosting Cart Pada Klasifikasi Diabetes Militus Tipe II Jerhi Wahyu Fernanda; Bambang W. Otok
Jurnal Matematika Vol 2 No 2 (2012)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2012.v02.i02.p27

Abstract

Diabetes Militus Tipe II merupakan salah satu penyakit yang paling banyak diderita masyarakat Indonesia. Untuk mengantisipasi terkena penyakit DM tipe II, diperlukan suatu tindakan untuk mengurangi resiko terkena penyakit ini dengan mengetahui faktor-faktor resiko yang menyebabkan DM tipe II. Beberapa faktor-faktor resiko yang dapat menyebabkan penyakit ini adalah Riwayat Keturunan, Umur, Jenis Kelamin, Obesitas, Pola Makan, Aktifitas Olahraga. Penelitian tentang klasifikasi DM tipe II telah banyak dilakukan dengan menggunakan metode-metode klasifikasi. Seperti Artificial Neural Network(ANN), CART, dan lain-lain. Tingkat akurasi dari suatu metode klasifikasi seperti ANN, CART dapat ditingkatkan untuk memberikan hasil klasifikasi yang lebih baik dengan menggunakan metodeboosting. Boostingadalah metodeensemble yang digunakan untuk meningkatkan akurasi dari suatu metode klasifikasi. Salah satu variasi boosting adalah adaboost. Beberapa penelitian juga telah menunjukkan bahwa adaboost mampu meningkatkan akurasi dari suatu metode klasifikasi. Penelitian ini dilakukan untuk mengkaji implementasi boosting pada metode Feedforwarf Neural Network (FFNN) dan CART. Hasil klasifikasi memperlihatkan bahwa tingkat akurasi dari FFNN dan CART setelah dilakukan boosting mengalami kenaikan dibandingkan sebelum dilakukan proses boosting. Berdasarkan nilai AUC didapatkan metode boosting CART pada iterasi 50, 100, 200, dan 500 memiliki tingkat akurasi yang paling tinggi dengan tingkat akurasi sebesar 98.75% dibandingakan dengan FFNN dan boosting FFNN.
Estimasi Dampak Jangka Panjang Kebijakan Penurunan Emisi Terhadap Pertumbuhan Ekonomi Kalimantan Timur Nurul Ilma Hidayanty; Riki Herliansyah; Muhammad Azka
Jurnal Matematika Vol 9 No 1 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2019.v09.i01.p109

Abstract

Deforestation and forest degradation issue due to economic activity is a major problem in East Borneo. The results of data analysis from Environmental Agency stated East Borneo produced the biggest ammount of CO2 emissions after the Central Borneo and Riau. These emissions mostly come from land-based business sector, industry and transportation. In other side, these sectors are the highest contributor to the total number of Gross Domestic Regional Product (GDRP). The aim of this research is to identify the effect of the goverment policy to decrease CO2 emissions towards economic growth. The data in this research were analyzed using Principal Component Analysis (PCA) and Path Analysis (PA). The results showed that the decrease in the amount of CO2 emissions resulting in decrease in the amount of GDRP. Keywords: CO2 Emissions, Gross Domestic Regional Product (GDRP), Principal Component Analysis, Path Analysis.
Model Regresi Zero Inflated Poisson Pada Data Overdispersion Wirajaya Kusuma; Desy Komalasari; Mustika Hadijati
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2013.v03.i02.p37

Abstract

Overdispersion is a phenomenon of the data variance greater than the average. One of the causes of overdispersion is too many zero value (excess zero) on the response variable. Zero inflated Poisson regression model (ZIP) is one of the method that can be used to overcome problems due to excess zeros. The purpose of this research is to estimate the regression parameters model Zero -inflated Poisson (ZIP) and applying to the data of unsuccessful students in national examinations in senior high school and vocational school in the city of Mataram. Parameter estimation Zero inflated Poisson regression model using the maximum likelihood and maximization expectation algorithm with Newton Rhapson approach. Zero inflated Poisson regression model obtained on the data is: dan With  is school accreditation; and  is the proportion of teachers who are already certified
APLIKASI METODE KHUN-TUCKER DALAM PENJUALAN OLI MOBIL (Studi Kasus : PT. Anugrah Mitra Dewata) Ni Made Asih; I Nyoman Widana
Jurnal Matematika Vol 2 No 1 (2012)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2012.v02.i01.p18

Abstract

Aplikasikan Metode Khun-Tucker dalam kasus penjualan oli mobil padaPT. Anugrah Mitra Dewata merupakan salah satu kasus optimasi bersyarat, untukmengetahui oli apa yang harus diproduksi oleh perusahaan, agar mencapai keuntunganmaksimal dan nilai-nilai ekstrim yang akan diperoleh, yang nantinya berperandalam menentukan tingkat keuntungan yang diperoleh perusahaan. Metode Khun-Tucker ini dapat dipergunakan untuk mencari solusi optimal dari suatu fungsi tanpamemandang sifat apakah linier atau nonlinier. Dalam proses pengerjaannya MetodeKhun-Tucker secara esensial melibatkan langkah-langkah yang sama seperti halnyaMerode Lagrange, yaitu: Membentuk Lagrangian untuk dapat menghitungtitik-titik kritisnya, mencari semua solusi (x; ), dan menghitung nilai f(x). Dalamproses pencarian semua solusi x dan nya dibantu dengan menggunakan programMATLAB. Hasil penelitian menunjukkan pada caturwulan I dengan memproduksioli SMO HP sebanyak 587 liter diperoleh keuntungan maksimal perusahaansebesar Rp 19.837.000 . Untuk caturwulan II dengan memproduksi oli SMO HPPLUS sebanyak 776 liter diperoleh keuntungan maksimal perusahaan sebesar Rp20.112.000. Untuk caturwulan III dengan memproduksi oli SMO HP sebanyak 470liter diperoleh keuntungan maksimal perusahaan sebesar Rp 20.029.000.
Mapping of Regencies/City in Bali Province Based on Education Indicators I.K.G. Sukarsa; G.K. Gandhiadi
Jurnal Matematika Vol 8 No 2 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2018.v08.i02.p100

Abstract

Education Development is one of the important elements of Human Resource Development (HR). In order for education development to be carried out properly, one of the important things is to know how to map the development of education in an area (for example the regencies in this study) based on predetermined education indicators. Based on the map, it can be seen that the education indicator is dominant in an area. With this information, the direction of education development in each region can be designed according to regional conditions by increasing indicators that are relatively lacking and maintaining a good indicator. This study aims to produce information in the form of education development maps in regencies/city in Bali Province based on education indicators so that they can be used as a reference for education development policies in each regencies. The resulting map will provide information on the condition of education indicators in a regencies. To get an overview of the map, Biplot Analysis is carried out on education indicator data. This analysis will provide a graph of the position of objects (regencies / city) and the relationships between variables (education indicators) simultaneously. The results of the analysis in graphical form with biplot shows that Gianyar Regency and Tabanan Regency are regencies that generally have close characteristics. This means that based on education indicators, the two regencies have similar indicators. The same thing is also seen in Karangasem and Bangli . While 5 (five) other regencies / city appear to have different indicator characteristics, the position of each regencies or city is far apart.

Page 8 of 19 | Total Record : 187

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