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Journal : E-Jurnal Matematika

DIMENSI METRIK GRAPH LOBSTER Ln (q;r) PANDE GDE DONY GUMILAR; LUH PUTU IDA HARINI; KARTIKA SARI
E-Jurnal Matematika Vol 2 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/MTK.2013.v02.i02.p037

Abstract

The metric dimension of connected graph G is the cardinality of minimum resolving set in graph G. In this research, we study how to find the metric dimension of lobster graph Ln (q;r). Lobster graph Ln (q;r) is a regular lobster graph with vertices backbone on the main path, every backbone vertex is connected to q hand vertices and every hand vertex is connected to r finger vertices, with n, q, r element of N. We obtain the metric dimension of lobster graph L2 (1;1) is 1, the metric dimension of lobster graph L2 (1;1) for n > 2 is 2.
IMPLEMENTASI BACKPROPAGATION NEURAL NETWORK DALAM PRAKIRAAN CUACA DI DAERAH BALI SELATAN I MADE DWI UDAYANA PUTRA; G. K. GANDHIADI; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 5 No 4 (2016)
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.2016.v05.i04.p131

Abstract

Weather information has an important role in human life in various fields, such as agriculture, marine, and aviation. The accurate weather forecasts are needed in order to improve the performance of various fields. In this study, use artificial neural network method with backpropagation learning algorithm to create a model of weather forecasting in the area of ??South Bali. The aim of this study is to determine the effect of the number of neurons in the hidden layer and to determine the level of accuracy of the method of artificial neural network with backpropagation learning algorithm in weather forecast models. Weather forecast models in this study use input of the factors that influence the weather, namely air temperature, dew point, wind speed, visibility, and barometric pressure.The results of testing the network with a different number of neurons in the hidden layer of artificial neural network method with backpropagation learning algorithms show that the increase in the number of neurons in the hidden layer is not directly proportional to the value of the accuracy of the weather forecasts, the increase in the number of neurons in the hidden layer does not necessarily increase or decrease value accuracy of weather forecasts we obtain the best accuracy rate of 51.6129% on a network model with three neurons in the hidden layer.
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.
PENENTUAN HARGA KONTRAK OPSI TIPE EROPA MENGGUNAKAN METODE QUASI MONTE CARLO DENGAN BARISAN KUASI-ACAK HALTON I GUSTI PUTU NGURAH MAHAYOGA; KOMANG DHARMAWAN; LUH PUTU IDA HARINI
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.p078

Abstract

Penelitian ini bertujuan untuk mengetahui keakuratan hasil simulasi harga saham untuk menentukan harga opsi call dari metode Monte Carlo dan metode Quasi Monte Carlo dengan menggunakan program Matlab. Harga standar yang digunakan untuk membandingkan kedua metode tersebut akan dihitung dengan metode Black-Scholes. Nilai error yang dihitung menggunakan metode MAPE (Mean Absolute Percentage Error) digunakan sebagai acuan dalam perbandingan. Selain keakuratan simulasi harga saham, kecepatan eksekusi program Matlab kedua metode juga dihitung untuk efisiensi waktu. Tahap pertama, menentukan variabel-variabel yang digunakan untuk menghitung lintasan harga saham pada waktu ke-t pada saat mensimulasikan harga saham. Tahap kedua, menghitung harga standar menggunakan metode Black-Scholes. Tahap ketiga, mensimulasikan harga saham dengan metode Monte Carlo dan Quasi Monte Carlo. Setelah mensimulasikan harga saham, catat waktu eksekusi program Matlab, lalu dihitung nilai pay-off dari opsi call, kemudian menaksir harga opsi call dengan merata-ratakan seluruh nilai pay-off dari masing-masing iterasi. Tahap terakhir, menghitung error dari kedua metode simulasi dengan metode MAPE lalu membandingkannya. Hasil penelitian ini menunjukkan bahwa metode Quasi Monte Carlo lebih akurat karena menghasilkan nilai error yang lebih kecil, artinya hasil simulasinya mendekati harga standar. Sedangkan untuk waktu eksekusi program, metode Monte Carlo lebih baik di semua iterasi.
ANALISIS FAKTOR PERSEPSI AKADEMISI TERHADAP PENGGUNAAN BUSANA ADAT DI LINGKUNGAN SEKOLAH LUH PUTU IDA HARINI; KARTIKA SARI; MADE SUSILAWATI
E-Jurnal Matematika Vol 10 No 3 (2021)
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.2021.v10.i03.p340

Abstract

Traditional Balinese clothing is a typical Balinese clothing that is characterized by Balinese customs used as a form of cultural protection that reflects the nature of politeness, shade, peace, and pride for the wearer. The Governor of Bali in the Regulation of the Governor of Bali Number 79 of 2018, concerning the Day for the Use of Balinese Traditional Clothing states that one of the objectives of using Balinese traditional clothing is to maintain and maintain the preservation of Balinese Traditional Clothing in order to strengthen identity, character and character, to recognize the values the aesthetic, ethical, moral, and spiritual values ??contained in Balinese culture and encourage increased use of local Balinese fashion products and industries. The purpose of this study was to determine the factors that influence academic perceptions of the use of traditional clothing in the school environment. This research was conducted in high schools in Denpasar, using the factor analysis method. The sample in this study were 181 respondents. The sampling technique used was purposive sampling. The results showed that the factors that influenced students' perceptions of the use of traditional clothing in the school environment were comfort in traditional clothing, knowledge of the rules of traditional dress, knowledge of traditional clothing, ethics of Balinese traditional dress and tourists and Balinese traditional clothing. These five factors can explain the diversity of students 'perceptions of 58.742 percent, with the dominant factor affecting students' perceptions of the use of traditional clothing in the school environment is comfort in traditional dress.
WAKTU PENYELESAIAN PROYEK KONSTRUKSI MENGGUNAKAN PRECEDENCE DIAGRAM METHOD DAN LINE OF BALANCE I WAYAN YOGA ASTAWA; NI KETUT TARI TASTRAWATI; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 9 No 3 (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/MTK.2020.v09.i03.p298

Abstract

Project is any work that has a beginning and ending, consisting of several jobs/activities that must be carried out in a certain order. Contractors typically use the Gantt Chart Method in scheduling home construction projects so that it is difficult to know the impact caused by the late completion of work on scheduling the entire project. The purpose of this study is to determine the time needed to complete two housing units using the Precedence Diagram Method and the Line of Balance Method. The data used in this research are the dependency relationship between activities, time schedule, cost analysis plan (RAB), and SNI unit price analysis. The analysis process carried out in this study is to calculate the time needed to complete two housing units using two methods, namely the Precedence Diagram Method and the Line of Balance method. The results of this study indicate the time needed to build two housing units using the Precedence Diagram Method 7 days faster than using the Line of Balance Method.
PERHITUNGAN VaR PORTOFOLIO SAHAM MENGGUNAKAN DATA HISTORIS DAN DATA SIMULASI MONTE CARLO WAYAN ARTHINI; KOMANG DHARMAWAN; LUH PUTU IDA HARINI
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.p001

Abstract

Value at Risk (VaR) is the maximum potential loss on a portfolio based on the probability at a certain time.  In this research, portfolio VaR values calculated from historical data and Monte Carlo simulation data. Historical data is processed so as to obtain stock returns, variance, correlation coefficient, and variance-covariance matrix, then the method of Markowitz sought proportion of each stock fund, and portfolio risk and return portfolio. The data was then simulated by Monte Carlo simulation, Exact Monte Carlo Simulation and Expected Monte Carlo Simulation. Exact Monte Carlo simulation have same returns and standard deviation  with historical data, while the Expected Monte Carlo Simulation satistic calculation similar to historical data. The results of this research is the portfolio VaR  with time horizon T=1, T=10, T=22 and the confidence level of 95 %, values obtained VaR between historical data and Monte Carlo simulation data with the method exact and expected. Value of VaR from both Monte Carlo simulation is greater than VaR historical data.
PELABELAN SELIMUT TOTAL SUPER (a,d)-H ANTIMAGIC PADA GRAPH LOBSTER BERATURAN L_n (q,r) TIRA CATUR ROSALIA; LUH PUTU IDA HARINI; KARTIKA SARI
E-Jurnal Matematika Vol 6 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/MTK.2017.v06.i02.p159

Abstract

Graph labelling is a function that maps graph elements to positive integers. A covering of graph is family subgraph from , for with integer k. Graph admits covering if for every subgraph is isomorphic to a graph . A connected graph is an - antimagic if there are positive integers and bijective function such that there are injective function , defined by with . The purpose of this research is to determine a total super antimagic covering on lobster graph . The method of this research is literature study method. It is obtained that there are a total super antimagic covering for on lobster graph with integer and even number .
METODE STATE SPACE DALAM MERAMALKAN JUMLAH PENUMPANG KERETA API DI PULAU JAWA FITRI ANANDA DITA SARASWITA; I WAYAN SUMARJAYA; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 9 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/MTK.2020.v09.i01.p272

Abstract

State space is an approach to model and predict together several time series data that are interconnected, and these variables have dynamic interactions. The purpose of this research is to model the number of train passengers in Java and find out the forecasting results using the state space method. The algorithm used to solve the state space model is the Kalman filter. In this research, a suitable final model is local level model with seasonal and produces MAPE value of 2%, this shows that the state space method is very accurately.
PENYELESAIAN MULTI TRAVELING SALESMAN PROBLEM DENGAN ALGORITMA GENETIKA NI KADEK MAYULIANA; EKA N. KENCANA; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 6 No 1 (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.i01.p141

Abstract

Genetic algorithm is a part of heuristic algorithm which can be applied to solve various computational problems. This work is directed to study the performance of the genetic algorithm (GA) to solve Multi Traveling Salesmen Problem (multi-TSP). GA is simulated to determine the shortest route for 5 to 10 salesmen who travelled 10 to 30 cities. The performance of this algorithm is studied based on the minimum distance and the processing time required for 10 repetitions for each of cities-salesmen combination. The result showed that the minimum distance and the processing time of the GA increase consistently whenever the number of cities to visit increase. In addition, different number of sales who visited certain number of cities proved significantly affect the running time of GA, but did not prove significantly affect the minimum distance.
Co-Authors AA Sudharmawan, AA Ananda*, Gusti Ayu Rica ANGGIE EZRA JULIANDA HUTAPEA COKORDA BAGUS YUDISTIRA DESAK PUTU DEVI DAMIYANTI Desak Putu Eka Nilakusmawati Eka N. Kencana EKA N. KENCANA FEBBY VERENNIKA FITRI ANANDA DITA SARASWITA G. K. GANDHIADI GEDE AGUS HENDRA YOGANGGA Gusti Ayu Rica Ananda* I GEDE ARI SUDANA I GEDE ARYA DUTA PRATAMA I GEDE DICKY ARYA BRAMANTA I GEDE HARDI KARMANA I Gede Santi Astawa I GN Lanang Wijayakususma I GUSTI PUTU NGURAH MAHAYOGA I KADEK MENTIK YUSMANTARA I KADEK SONA DWIGUNA I KETUT RESTU WIRANATA I MADE DWI UDAYANA PUTRA I NYOMAN DICKY WIJAYA I Nyoman Widana I PUTU AGUS DARMAWAN DARMA YADNYA I PUTU ARYA YOGA SUMADI I Putu Eka Nila Kencana I PUTU YUDI PRABHADIKA I Wayan Sumarjaya I WAYAN YOGA ASTAWA IDA AYU EGA RAHAYUNI Ida Ayu Putu Ari Utari ISTIQOMAH ISTIQOMAH Jocelynne, Charlotte KADEK INTAN SARI Kartika Sari Ketut Jayanegara Komang Dharmawan KOMANG WAHYUDI SUARDIKA LIA APRIYANI MADE ADI GUNAWAN MADE ASIH Made Susilawati Mahardika, Putu Harry MOH. HERI SETIAWAN NABILA NUR JANNAH Ngurah Agus Sanjaya ER NI KADEK DESI PUJA ANTARI Ni Kadek Emik Sapitri NI KADEK MAYULIANA Ni Ketut Tari Tastrawati NI KOMANG AYU SEDANA DEWI NI LUH GEDE SHINDYA ARMITA NI LUH PUTU RATNA DEWI Ni Luh Putu Suciptawati PANDE GDE DONY GUMILAR PRADITA Z. TRIWULANDARI Putri Cahyaning Putu Harry Mahardika Putu Harry Mahardika PUTU IKA OKTIYARI LAKSMI PUTU SAVITRI DEVI RISKA YUNITA SANI SAEFULOH SARAH VERONICA HUTABALIAN SAYID QOSIM Surma, Odilia Gratiaplena Susanti Marito Barus TIRA CATUR ROSALIA Tjokorda Bagus Oka TRI YANA BHUANA VALERIA TRISNA YUNITA WAYAN ARTHINI Wijayakusuma, I Gusti Ngurah Lanang Wijayakususma, I GN Lanang