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Mathematics Study Program, Faculty Of Mathematics And Natural Sciences, Udayana University
Agriculture, Biological Sciences & Forestry Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Mechanical Engineering Physics Transportation

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APLIKASI REGRESI DATA PANEL DENGAN PENDEKATAN FIXED EFFECT MODEL (STUDI KASUS: PT PLN GIANYAR) NI PUTU ANIK MAS RATNASARI; I PUTU EKA NILA KENCANA; G.K. GANDHIADI
E-Jurnal Matematika Vol 3 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/MTK.2014.v03.i01.p059

Abstract

Panel data regression has three approaches. One of these approaches is Fixed Effect Model (FEM). FEM is common estimated using Least Square Dummy Variable. The use of dummy variable in FEM is based on assumption that slope coefficients are constant but intercept varies over individuals. One of application of FEM is to find out motivation of employees at PT PLN Gianyar for non-outsourcing and outsourcing employees based on existence, relatedness, and growth. This research yields the following two models:with 67% motivation non-outsourcing employees represented by existenceand73% motivation non-outsourcing employees represented by existence and growth.
SISTEM PAKAR PENDIAGNOSA PENYAKIT MENULAR PADA ANJING KADEK RISNA WITARI; I G.K. GANDHIADI; I PUTU EKA NILA KENCANA
E-Jurnal Matematika Vol 2 No 1 (2013): E-Jurnal Matematika
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2013.v02.i01.p027

Abstract

The closeness of the relationship between dogs and human makes the dog can be trained, played together, lived together with human and are invited to socialize with human and other dogs. But, despite its this relationship, the dogs can also have a contagious disease that may be harmful to human. Diagnostic expert system for infectious disease in dogs for as web-based system with the media android used as a tool for diagnosing infectious diseases in dogs based on physical characteristics or symptoms that can be seen or felt without through examination of the specifics. The diagnostics final results are expected to be a reference for further examination and handling of dogs that contract the disease is detected to prevent the disease for humans. This expert system uses a forward chaining inference method and Certainty Factor to infer.
MEMODELKAN KEMISKINAN PENDUDUK PROVINSI BALI DENGAN REGRESI DATA PANEL KADEK BUDINIRMALA; NI LUH PUTU SUCIPTAWATI; KETUT JAYANEGARA; I PUTU EKA NILA KENCANA
E-Jurnal Matematika Vol 7 No 3 (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/MTK.2018.v07.i03.p206

Abstract

One indicator of the success of development programs undertaken is the declining percentage of the poor, defined as the ratio of the number of people classified as poor to the total population. For Bali province, despite its economic growth is higher than national rate; 6.03 percent and 6.24 percent compared to 4.88 percent and 5.02 percent in 2015 and 2016, respectively; the poor are still observed in this province by 4.15 percent of its 4.2 million population in September 2016. In order to make development programs in Bali more effective to decrease the number of poor people, significant determinants of poor have to be recognised. The purpose of this work is to model and to determine the significant factor(s) that affect the percentage of poor in Bali province by applying panel data analysis. Percentage of poor for period 2007 to 2015 is positioned as the dependent variable while economic growth, unemployment rate, labor force participation rates, total population, and human development index as the independent ones. We found the best model to describe the causal relationship among variables is fixed effect model and two predictors, the economic growth rate and human development index, were significant in affecting the number of poor in Bali province.
KINERJA JACKKNIFE RIDGE REGRESSION DALAM MENGATASI MULTIKOLINEARITAS HANY DEVITA; I KOMANG GDE SUKARSA; I PUTU EKA N. KENCANA
E-Jurnal Matematika Vol 3 No 4 (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/MTK.2014.v03.i04.p077

Abstract

Ordinary least square is a parameter estimations for minimizing residual sum of squares. If the multicollinearity was found in the data, unbias estimator with minimum variance could not be reached. Multicollinearity is a linear correlation between independent variabels in model. Jackknife Ridge Regression(JRR) as an extension of Generalized Ridge Regression (GRR) for solving multicollinearity.  Generalized Ridge Regression is used to overcome the bias of estimators caused of presents multicollinearity by adding different bias parameter for each independent variabel in least square equation after transforming the data into an orthoghonal form. Beside that, JRR can  reduce the bias of the ridge estimator. The result showed that JRR model out performs GRR model.
PENERAPAN METODE GEOGRAPHICALLY WEIGHTED REGRESSION (GWR) PADA KASUS PENYAKIT PNEUMONIA DI PROVINSI JAWA TIMUR MOCH. ANJAS A; I KOMANG GDE SUKARSA; I PUTU EKA NILA KENCANA
E-Jurnal Matematika Vol 8 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/MTK.2019.v08.i01.p231

Abstract

Geographically weighted regression (GWR) analysis is an analysis to resolve the problem with data contains effect of spatial heterogeneity. One of the problems which considers spatial heterogeneity is pneumonia. Pneumonia is spread of disease as cause of infants’ and toddlers’ death. One of the provinces with the largest of pneumonia is East Java. The purpose of this research is modeling of pneumonia in East Java using GWR method. The results of this research showed factors dominant and significantly of pneumonia in East Java, those factors are households of PHBS and present of measles immunization.
KOMPARASI KINERJA FUZZY TIME SERIES DENGAN MODEL RANTAI MARKOV DALAM MERAMALKAN PRODUK DOMESTIK REGIONAL BRUTO BALI I MADE ARYA ANTARA; I PUTU EKA N. KENCANA; I KOMANG GDE SUKARSA
E-Jurnal Matematika Vol 3 No 3 (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/MTK.2014.v03.i03.p073

Abstract

This paper aimed to elaborates and compares the performance of Fuzzy Time Series (FTS) model with Markov Chain (MC) model in forecasting the Gross Regional Domestic Product (GDRP) of Bali Province.  Both methods were considered as forecasting methods in soft modeling domain.  The data used was quarterly data of Bali’s GDRP for year 1992 through 2013 from Indonesian Bureau of Statistic at Denpasar Office.  Inspite of using the original data, rate of change from two consecutive quarters was used to model. From the in-sample forecasting conducted, we got the Average Forecas­ting Error Rate (AFER) for FTS dan MC models as much as 0,78 percent and 2,74 percent, respec­tively.  Based-on these findings, FTS outperformed MC in in-sample forecasting for GDRP of Bali’s data.
MENYELESAIKAN VEHICLE ROUTING PROBLEM MENGGUNAKAN ALGORITMA FUZZY EVOLUSI I PUTU ARYA YOGA SUMADI; I PUTU EKA NILA KENCANA; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 7 No 3 (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/MTK.2018.v07.i03.p211

Abstract

The purpose of this research is to know the performance of Fuzzy Evolutionary Algorithm in solving one type of Vehicle Routing Problem that is Capacitated Vehicle Routing Problem (CVRP). There are 8 different CVRP data to be solved. The performance of the algorithm can be determined by comparing the value obtained by AFE with the optimal value of the data. The result of this research is fuzzy evolution algorithm yields the best average relative error from all data for distance that is equal to 69,5855% and for minimum vehicle equal to 26%.
MODEL TINGKAT KEMISKINAN DI KABUPATEN BANGLI DENGAN PENDEKATAN PARTIAL LEAST SQUARE NI WAYAN EKA SURYA ARTINI; I PUTU EKA NILA KENCANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 6 No 3 (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/MTK.2017.v06.i03.p165

Abstract

The purpose of this research is to determine the dominant factors that influence the increment of poverty in 6 villages in Bangli regency which categorized as disadvantaged village in Bali province, namely, Binyan Village, Ulian Village, Langgahan Village, Abuan Village, Mengani Village, and Tembuku Village. The total respondents in this research are 84 poor families which determined through the stratified proportional random sampling method. The research regarding the poverty in disadvantaged village involves 5 latent variables, namely, poverty rate, inability to meet basic needs, the shortage of human resource competencies, inability to meet support needs, and the shortage of access to infrastructure which are each 5 of the latent variable have the reflective indicator. This research is using the variant-based (PLS-SEM) Structural Equation Modeling (SEM) method and calculated through smart PLS software. Based on the output of structural poverty rate equation model resulting from the analysis, it can be concluded that the increment of inability to meet basic needs, the shortage of human resource competencies, and the shortage of access to infrastructure have a significant effect towards the increment of poverty rate in a disadvantage village, meanwhile inability to meet support needs rate has no effect towards poverty rate in the disadvantaged village of Bangli Regency.
APPLICATION OF MAMDANI FUZZY METHOD TO DETERMINE ROUND BREAD PRODUCTION AT PT VANESSA BAKERY A. A. I. DWI FIBRIAYORA; G.K. GANDHIADI; NI KETUT TARI TASTRAWATI; I PUTU EKA NILA KENCANA
E-Jurnal Matematika Vol 8 No 3 (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/MTK.2019.v08.i03.p254

Abstract

Mamdani Fuzzy is a method that interprets input values and makes conclusions based on IF-THEN rules and producing the output. In this research Mamdani fuzzy method is applied to determine the amount of round bread production at PT Vanessa Bakery. The step involve: determining the fuzzy system, the membership functions, as well as the fuzzy rules. The defuzzification process is applied to determine the amount of total production and to calculate the MAPE value of the Mamdani fuzzy method. The calculated MAPE as much as 5.94%, indicates this method has an excellent forecasting ability because the value is less than 10%. Thus, the Mamdani fuzzy method can be used at PT Vanessa Bakery.
KAJIAN DERET FIBONACCI DAN GOLDEN RATIO PADA LAGU BUNGAN SANDAT GEDE AGUS HENDRA YOGANGGA; LUH PUTU IDA HARINI; I PUTU EKA NILA KENCANA
E-Jurnal Matematika Volume 1, No 1, Tahun 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/MTK.2012.v01.i01.p019

Abstract

This study aims to analyze mathematically Bungan Sandat songs and arrange the elements in terms of the Fibonacci sequence and Golden Ratio. Then the ratio of the beauty of the song before and after arrangements were analyzed using the Wilcoxon test with 16 respondents from the student audience ISI Denpasar. Adjustment arrangements were made ??and given the title Bungan Sandat Fibo because it has proved to be a perfect Fibonacci sequence and Golden Ratio. Bungan Sandat Fibo song has the Fibonacci sequence contain up to 100% and the Golden Ratio is more perfect than the song before experienced arranger. In addition, based on the value of statistical tests, proven track Bungan Sandat Fibo more beautiful than Bungan Sandat song.
Co-Authors A. A. I. DWI FIBRIAYORA ADI PUTRAYASA AGUS EKA ARIESTA ALEXANDER HIRO WIBISONO ANAK AGUNG ISTRI AYU PRATAMI Anak Agung Putu Agung Suryawan Wiranatha Desak Putu Eka Nilakusmawati DESAK PUTU PRAMI MEITRIANI Diana Diana DOMINGGAS TEO G. K. Gandhiadi GEDE AGUS HENDRA YOGANGGA Gede Satria Suputra GUSTI AYU MADE ARNA PUTRI HANY DEVITA I GEDE HARDI KARMANA I GEDE SEKA SUYOGA I Gusti Ayu Made Srinadi I Gusti Ayu Oka Suryawardani I GUSTI NGURAH ARYA WANAYASA I Gusti Ngurah Lanang Wijayakusuma I KADEK TEGUH PRADANA I Ketut Satriawan I KOMANG GDE SUKARSA I KOMANG GEDE ANTARA I MADE ANOM ARIAWAN I MADE ARYA ANTARA I MADE DANNY DANANJAYA I Made Ramia Adnyana I Nyoman Widana I PUTU AGUS WIDHIANTARA I PUTU ARYA YOGA SUMADI I PUTU JERYANA I Putu Utama I Putu Winada Gautama I PUTU YUDANTA EKA PUTRA I Wayan Rediyasa I Wayan Sumarjaya I Wayan Tika IDA AYU PRASETYA UTHAMI Ida Bagus Gde Pujaastawa IDA BAGUS KADE PUJA ARIMBAWA K. IMAMUDDIN KAMIL Isabel Divya Georgiana Walewangko JUEN LING KADEK BUDINIRMALA KADEK DWI FARMANI KADEK RISNA WITARI Ketut Jayanegara Komang Dharmawan LUH PUTU IDA HARINI MADE ARISTIAWAN JIWA ATMAJA MADE PUTRI ARIASIH MADE SANJIWANI Made Susilawati Mahardika, Putu Harry MELINDA HERMANTO MOCH. ANJAS A MUHAMAD RIFAI MULIA YASMAN NGURAH GDE PRABA MARTHA Ni Kadek Emik Sapitri NI KADEK PUSPITAYANTI NI KADEK SETIAWATI Ni Ketut Tari Tastrawati NI LUH ARDILA KUSUMAYANTI Ni Luh Putu Ayu Fitriani Ni Luh Putu Suciptawati Ni Made Asih Ni Made Santiningsih NI MADE SUMA FRIDAYANI NI PUTU ANIK MAS RATNASARI NI WAYAN ARNI YANITA NI WAYAN EKA SURYA ARTINI NI WAYAN NINING ISMIRANTI NOVA SARI BARUS PUTU EKA SWASTINI Putu Harry Mahardika Putu Harry Mahardika PUTU NOPITA PURNAMA NINGSIH RAHMAD RAHMAD WIDODO Ratna Sari Widiastuti REYNALDO PANJI WICAKSONO SLAMET SAMSUL HIDAYAT SRI DIANTINI Tjokorda Bagus Oka TRISNA RAMADHAN VANIA RISKASARI YR VICTOR MALLANG