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INDONESIA
E-Jurnal Matematika
Published by Universitas Udayana
ISSN : 23031751     EISSN : -     DOI : -
Core Subject : Education,
Mathematics
E-Jurnal Matematika merupakan salah satu jurnal elektronik yang ada di Universitas Udayana, sebagai media komunikasi antar peminat di bidang ilmu matematika dan terapannya, seperti statistika, matematika finansial, pengajaran matematika dan terapan matematika dibidang ilmu lainnya. Jurnal ini lahir sebagai salah satu bentuk nyata peran serta jurusan Matematika FMIPA UNUD guna mendukung percepatan tercapainya target mutu UNUD, selain itu jurnal ini terbit didorong oleh surat edaran Dirjen DIKTI tentang syarat publikasi karya ilmiah bagi program Sarjana di Jurnal Ilmiah. E-jurnal Matematika juga menerima hasil-hasil penelitian yang tidak secara langsung berkaitan dengan tugas akhir mahasiswa meliputi penelitian atau artikel yang merupakan kajian keilmuan.
Arjuna Subject : -
Articles 9 Documents
 1 
Search results for , issue "Vol 8 No 1 (2019)" : 9 Documents clear
KENDALI MPC BERBASIS FILTER KALMAN UNTUK SISTEM EMPAT TANGKI ZAIFUL ULUM; MOH. AFFAF
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.p234

Abstract

A Four-tank system is a multi-input multi-output (MIMO) system consisting of four interconnected water tanks and two pumps. This paper deals with the control design of the four-tank system using model predictive control (MPC) based filter Kalman. The objective of the control design is to regulate the output of the system towards the desired values. In this work, the optimal control to the system is determined by means MPC controller where both output and input constraints to the system are explicitly considered. The filter Kalman is used to estimate the state of the system. Simulations by using Matlab are performed to verify the performance of the proposed control design. Simulation results show that the proposed control design can regulate the output of the system towards the desired values.
ESTIMASI NILAI CONDITIONAL VALUE AT RISK (CVaR) PORTOFOLIO MENGGUNAKAN METODE EVT-GJR-VINE COPULA NI WAYAN UCHI YUSHI ARI SUDINA; KOMANG DHARMAWAN; I WAYAN SUMARJAYA
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.p230

Abstract

Conditional value at risk (CVaR) is widely used in risk measure that takes into account losses exceeding the value at risk level. The aim of this research is to compare the performance of the EVT-GJR-vine copula method and EVT-GARCH-vine copula method in estimating CVaR of the portfolio using backtesting. Based on the backtesting results, it was found that the EVT-GJR-vine copula method have better performance when compared to the EVT-GARCH-vine copula method in estimating the CVaR value of the portfolio. This can be seen from the statistical values ??, and of EVT-GJR-vine copula method which is generally smaller than the statistical values , and of the EVT-GARCH-vine copula method.
ANALISIS SINTASAN PARAMETRIK PADA PASIEN STROKE DENGAN PENDEKATAN DISTRIBUSI WEIBULL NI MADE SRI WAHYUNI; I WAYAN SUMARJAYA; NI LUH PUTU SUCIPTAWATI
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.p235

Abstract

Parametric survival analysis is one of the survival analysis that has a distribution of survival data that follows a certain distribution. Weibull distribution is a distribution that is often used in parametric survival analysis. The purpose of this study is to determine parametric survival models using the Weibull distribution and to determine the factors that can influence the recovery of stroke patients. This study uses data on stroke patients in the Wangaya hospital, Denpasar in 2017. The best model obtained in this study is a model that consists of two predictor variables, namely the age and the body mass index (BMI).Therefore the factors that can influence the recovery of stroke patients are age and BMI.
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.
ANALISIS STABILITAS HASIL GENOTIPE JAGUNG MENGGUNAKAN METODE FIXED AMMI MODANA LOLITA; I KOMANG GDE SUKARSA; MADE SUSILAWATI
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.p229

Abstract

Additive Main Effect and Multiplicative Interaction (AMMI) is a method that is used in research to study interaction between genotype and location. The aim of this research is to apply fixed AMMI in examining the production of corn genotype data and to explore yield stability of its based on biplot picture and AMMI Stability Value (ASV). This research uses six corn genotypes, eight trial locations, and three repetitions. The Interaction Principal Component Analysis (IPCA) that are significant to entered in the model based on analysis of variance fixed AMMI are IPCA1, IPCA2, and IPCA3 with total diversity interaction as much as 92,16%. The biplot picture and ASV should the stable genotype in all location are genotype KUI Carotenoid Syn FS. 17-3-2-B-B T01 and genotype CML 305-B-B T01. In addition, corns that are able to adapt only in certain location is: genotype KUI Carotenoid Syn FS. 5-1-5-B-B T01, genotype KUI Carotenoid Syn FS. 25-3-2-B-B T01, genotype KUI Carotenoid Syn FS. 17-3-1-B T01, and genotype CML 130-B-B T01.
PETA KENDALI EWMA RESIDUAL PADA DATA BERAUTOKORELASI NI KADEK YUNI DEWIANTARI; I WAYAN SUMARJAYA; G.K. GANDHIADI
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.p236

Abstract

Control charts with autocorrelation can be overcome by creating control chart with residuals from the best forecasting model. EWMA control chart is a alternative to the Shewhart control chart when detecting small shifts. The purpose of this study is to make the best forecasting model to obtain residual, and see the stability of the rupiah exchange rate against US dollar using EWMA control chart with residual. The best model of the case is ARIMA (1,1,1). The results of the EWMA residual control chart with ? = 0.1 there is a pattern that makes the process unstable.
OPTIMALISASI PRODUKSI MENGGUNAKAN METODE INTEGER PREEMPTIVE GOAL PROGRAMMING (Studi Kasus: UD Citra Ayu Bali) VINSENTIA REVICA BELLA ROSSARY; I WAYAN SUMARJAYA; KARTIKA SARI
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.p232

Abstract

One of the home industry in Bali that produces beauty products is UD Citra Ayu Bali. This company has five types of body scrub scent, where the five types of body scrub has a different number of requests. UD Citra Ayu Bali has been doing production activities only when there is demand, so the production process is still less than optimal because it is still done randomly or unplanned. Therefore, this research is done to make production planning body scrub UD Citra Ayu Bali by determining the prediction of the number of products that must be produced every week so that the production process becomes optimal. By using the integer preemptive goal programming method, the optimal production number of the five types scrubs for 12 consecutive weeks is 212 pieces, 548 pieces, 328 pieces, 474 pieces, 506 pieces, 455 pieces, 103 pieces, 381 pieces, 63 pieces, 547 pieces, 59 pieces, and 454 pieces.
PENERAPAN REGRESI ZERO INFLATED GENERALIZED POISSON (ZIGP) PADA DATA OVERDISPERSION NI WAYAN AMANDA DEWI SULISTYANINGSIH; I KOMANG GDE SUKARSA; NI LUH PUTU SUCIPTAWATI
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.p228

Abstract

Zero Inflated Generalized Poisson (ZIGP) is a regression model used to analyze Poisson distributed discrete data which contains mostly zero and tends to experience overdispersion (varians value greater than the mean value). The purpose of this research is to find out the best model and the factors which influence the maternal mortality in Bali Province in year 2016 by using ZIGP regression model. The data used in this research was data from health profile Bali Province with the object totally 57 district rate data has proportion of zeros value more than 50% on the response variable. The analysis result of ZIGP data on maternal mortality cannot modeled using the ZIGP so ZIGP regression model became ZIP model . The best model which resulted from ZIP regression got one free variable which have significant impact towards the total number of maternal mortality. This significant variabel is the percentage of mother did visiting to K1.
ANALISIS PRODUK ASURANSI UNIT LINK DI INDONESIA I NYOMAN WIDANA; KETUT JAYANEGARA
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.p233

Abstract

This paper presents a unit-linked insurance which is a modern insurance. The policyholders will get benefits of insurances and investment. The aim of this research is to analysis of unit link insurance products in Indonesia. Especially to analysis the mortality cost, premium, return, and profit of the product. The method used is a stochastic profit testing method and the results of the study show that mortality cost offered by the three unit link companies selected as the sample of this study are greater than the insurance costs calculated based on the Indonesian Mortality Table. From comparing different unit linked insurance plans, only one plan is sufficient to fund the guarantee. While others have to do a Top-up premium.

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