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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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Rotasi Varimax dan Median Hirarki Cluster Pada Program Raskin di Kabupaten Lombok Barat Desy Komalasari
Jurnal Matematika Vol 5 No 1 (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.i01.p55

Abstract

The granting rice program for poor households (Raskin) is one of the West Lombok regency government programs for village poverty. The effectiveness of the program relating to 14 criteria for the poor households Raskin recipients (RTS-PM). The 14 criteria have been grouped into several factors using varimax rotation factor analysis, while the RTS-PM have been grouped using hierarchical median cluster analysis. Four factors obtained based on the analysis. First factor was the house existence, the second factor was the financial ability, the third factor was the house existing facilities, and the four factor was the education of the household head and the purchasing power of clothing. The clustering results using hierarchical median cluster analysis formed 3 clusters. The first cluster contains the RTS-PM which have been grouped into first factor; the second cluster contains the RTS-PM which have been grouped into second and third factor; and the third cluster contains the RTS-PM which have been grouped into fourth factor.
CONTROL DIFFUSION PROCESSES WITH LIPSCHITZ CONTINUITY OF DRIFTS Komang Dharmawan
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.p23

Abstract

Control diffusion processes has been found in a wide field of applicationsas in stochastic optimal control and in mathematical finance via the theory ofhedging and nonlinear pricing theory for imperfect markets. In this paper we discussthe control diffusion process with time and space dependent coefficients and localLipschitz continuity of the drift. The results show that the controlled process Xs;;utis independent of control u for a constant.
Model Deret Waktu Produksi Genteng Pejaten dalam Keterbatasan Sumber Daya I Gusti Ayu Made Srinadi; Desak Putu Eka Nilakusmawati
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.p105

Abstract

The sample of this research was taken by purposive sampling technique, the villagers of Pejaten who are tile craftsmen. Data was collected through a questionnaire filled with 105 tile craftsmen. The tile materials of Pejaten Village include clay and rocky soil, clay is currently almost 95% from outside the village of Pejaten. The clay supplier villages include Bantas Village, Selemadeg, Meliling, Jadi, Gadungan, and Pandak. Most of the coconut fiber fuel is mostly imported from Jembrana Regency. Some laborers in tile production are family members of craftsmen and most use wage labor. This condition shows the scarcity of tile production resources in Pejaten Village. This study aims to find out how tile production in Pejaten village is in a condition of limited resources, and how the forecasting model of tile production is based on historical data from January 2013 to December 2017. The results of in-depth interviews with several tile craftsmen state that they will continue to produce tile along the roof tile demand still exists and is able to provide raw materials even though most are imported from outside the Pejaten Village. The amount of tile production shows a seasonal trend, and the time series model that is most suitable for the number of tile production is the SARIMA (1,1,5) (1,1,1) 12 model.
Optimalisasi Harga Penjualan Perumahan dengan Metode Goal Programming (Studi Kasus: Golden Gindi Residence Kota Bima Nusa Tenggara Barat) Lilik Ika Rahmawati; G. K. Gandhiadi; Ni Made Asih
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.p38

Abstract

This research aims to determine the minimum selling price of each type of house using the method of goal programming, so that the developer  get profit  in appropriate with the targets set. Goal Programming method is one of the method of solving linear programming to solve the problems that include multiple targets. The result of the research showed: (1) the minimum salling price type of house 36/150 is Rp. 56.371.450,-; (2) type 45/150 is Rp. 77.261.250,-; (3) type 52/150 is Rp. 84.221.445,56. To calculate monthly installment purchase of a home within 5 years and 10 years using Capital Recovery Factor (CRF) method with annual interest of 11.5%. In order to obtain the amount of monthly loan installments within 5 years with 60 time installments for the type 36/150 is Rp. 930.250 , type 45/150 is Rp. 1.275.000 and type 52/150 is Rp. 1.389.800. By using the same method obtained the amount of monthly installments within 10 years with 120 installments for the type 36/150 is Rp. 549.900, type 45/150 is Rp. 815.300 and type 52/150 is Rp. 888.800 . Optimal selling price obtained was lower than the selling price from the developer, so the developer need to consider again the results obtained for the salling price of homes. The calculation of credit installments depending on the amount of interest and repayment period, so not become burden for the customers.
Estimasi Koefisien Regresi Linear Berganda dengan Metode Goal Programming Baiq Diah Fitasari
Jurnal Matematika Vol 10 No 2 (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.i02.p129

Abstract

The alternative method that can be used to determine the value of a multiple linear regression variable coefficient is goal programming method. The kind of data used in this research is secondary data namely the production of freshwater fish pond system data in the Province of West Nusa Tenggara based on Fisheries Service of West Nusa Tenggara Province year 2018. Software used to assist in reckoning is POM for Windows.Settlement calculation procedure in this research was conducted in two stages, namely the calculation with variable ????????4 and the calculation without variables ????????4. The results obtained with the variable ????????3 namely ????????1 = ????????0 = 64,08 ; ????????2 = ????????1 = 2,67 ; ????????3 = ????????2 = 0,27 ; ????????4 = ????????3 = 0, and the results obtained without variables ????????4 namely ????????1 = ????????0 = 64,08 ; ????????2 = ????????1 = 2,67 ; ????????3 = ????????2 = 0,24. The production of fresh water fish pond system in the Province of West Nusa Tenggara were affected by extensive fish ponds and food availability, while the number of domestic aquaculture freshwater fish do not affect production. Keywords : Multiple Linear Regression, Goal Programming, Production of Fish.
UJI KENORMALAN UNIVARIAT: SUATU KAJIAN PUSTAKA I WAYAN SUMARJAYA
Jurnal Matematika Vol 1 No 1 (2010)
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.2010.v01.i01.p08

Abstract

Almost all statistical procedures, especially statistical inference, assumed that the sample distribution isnormally distributed. This normality assumption must be tested to ensure the correct use of the teststatistic, hence resulting a correct conclusion. This research discusses some univariate normality tests:test based on empirical distribution function, test based on moments, test based on correlation orregression, test based on sample entropy, test based on kernel method, test based on Polyacharacteristics, and test based on nonparametric method. This research also discuss normality test thatcapable of detecting outliers and discuss omnibus test that can give additional information about nonnormality.
Tinjauan Dampak Pariwisata di Kawasan Pesisir Pada Dimensi Sosial Budaya Masyarakat Komang Gde Sukarsa; Trisna Darmayanti; Eka N. Kencana
Jurnal Matematika Vol 8 No 1 (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.i01.p96

Abstract

Tourism is a leading sector in developing process of many countries. For Bali, tourism contributes more than 30 percent on the formation of Bali’s Regional Domestic Product. To assure tourism at this island will run in sustainable manner, three aspects have to be considered. This research is aimed to classify the positive as well as the negative effects of socio-cultural dimension arose from tourists activities at coastal area of Badung regency of Bali. A hundred of local community leaders at North Kuta district were selected and their perception regarding effect of tourism on socio-cultural aspect were collected on June – September 2017 and analysed by using factor analysis. Three groups were identified as the positive effects i.e. (a) women empowerment as the economic agents for the family; (b) the increasing of Balinese values; and (c) the raising of community capacity building in developing culture-creative products. Viewed from the burden of cost, we found the potency of increasing the social as well as family conflicts because of different perspectives in viewing tourism.
Analisis Kestabilan Model Host-Vector Transmisi HIV/AIDS Pada Pengguna Jarum Suntik Jafaruddin (Alm); Rapmaida M. Pangaribuan; . Aryanto; Irena A. Henukh
Jurnal Matematika Vol 7 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/JMAT.2017.v07.i01.p77

Abstract

HIV/AIDS is a very dangerous disease. The transmission of HIV/AIDS can be in three ways and one of them through a syringe. In this paper we describe SIR and SEIR Host-Vector model transmission of HIV/AIDS amongst populations of injecting drug users. From the existing model we obtained disease-free equilibrium point and endemic equilibrium point. Then we study the stability conditions and sensitivity analysis of the . The analysis shows if then the disease-free equilibrium point is stable and if then the endemic equilibrium point will be stable. We also obtained that parameter of probality host-vector infected with HIV/AIDS affects the increase of number infected HIV/AIDS. Keywords: HIV/AIDS, Host-Vector Transmission, The Stability of Equilibrium Point.
SIFAT KOMPAK DALAM RUANG HAUSDORFF LUH PUTU IDA HARINI
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.p07

Abstract

The inspiration of the definition of “compactness” comes from the real number system.Closed and bounded sets in the real line were considered as an excellent model to show ageneralized version of the compactness in a topological space. Since boundedness is an elusiveconcept in general topo-logical space, then the compact properties are analysed to look at someproperties of sets that do not use boundedness. Some of the classical results of this nature areBolzano -Weierstrass theorem, whe-re every infinite subset of [a,b] has accumulation point andHeine-Borel theorem, where every closed and bounded interval [a,b] is compact. Each of theseproperties and some others are used to define a generalized version of compactness. Hausdorffspace has compact properties if every compact subset in Hausdorff space is closed and everyinfinite Hausdorff space has infinite sequence of non empty and disjoint open sets. Because thecompact properties in the Hausdorff space are satisfied many the-orems in real line could beexpanded. Therefore, these theorems ccould be used in Hausdorff space.
Perbandingan Analisis Diskriminan dan Analisis Regresi Logistik Ordinal dalam Prediksi Klasifikasi Kondisi Kesehatan Bank Fajri Zufa; Sigit Nugroho; Mudin Simanihuruk
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.p86

Abstract

The purpose of this research is to compare the accuracy of bank classification prediction based on Capital Adequacy Ratio (CAR), Earning Asset Quality (EAQ), Non Performing Loan (NPL), Return on Assets (ROA), Net Interest Margin (NIM), Short Term Mismatch (STM) and Loan to Deposit Ratio (LDR). Discriminant analysis and ordinal logistic regression analysis are compared in classifying the prediction. The data used are secondary data, namely data classification of bank conditions in Indonesia in 2014 obtained from research institute PT Infovesta Utama. Based on Apparent Error Rate (APER) score obtained, it can be said that discriminant analysis is better in predicting the classification of bank conditions in Indonesia than that of ordinal logistic regression analysis. Discriminant analysis has the average prediction accuracy of 80%, while ordinal logistic regression analysis has the average prediction accuracy of 74,38%.

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