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Journal : E-Jurnal Matematika

PREDIKSI PENGGUNA BUS TRANS SARBAGITA DENGAN METODE ADAPTIVE NEURO FUZZY INFERENCE SYSTEM SLAMET SAMSUL HIDAYAT; I PUTU EKA NILA KENCANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 2 No 3 (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.i03.p048

Abstract

Trans Sarbagita is a public transportation services people at Denpasar, Badung, Gianyar and Tabanan. Trans Sarbagita is aimed to resolve a problems caused by accretion volume of vehicles in Bali. This study conducted to forecast the number of Trans Sarbagita passengers in 2013 using ANFIS. The ANFIS system composed by five layers where each layers has a different function and its divide in two phases, i.e. forward and backward phases. The ANFIS uses a hybrid learning algorithm which is a combination of Least Squares Estimator (LSE) on forwards phases and Error Backpropagation (EBP) on the backward phases. The results show, ANFIS with six inputs with M.F of  Pi  produces smallest error, compared to seven and eight input and M.F gauss and generalizedbell. Forecast of Trans Sarbagita passenger numbers in 2013 have to fluctuated every day and the average of passenger’s Trans Sarbagita for a day is 1627 passengers with MSE equal to 10210 and MAPE is 4.01%.
ANALISIS PREFERENSI MASYARAKAT TERHADAP KUALITAS PELAYANAN RUMAH SAKIT DINI AMALIA PUTRI; I KOMANG GDE SUKARSA; KETUT JAYANEGARA
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.p256

Abstract

Conjoined analysis is a multivariate technique specifically developed to get people's preferences. The purpose of this study is to determine people's preferences for the quality of hospital services based on attributes to determine the combination of these attributes that are most desired by customers. This study uses primary data taken through surveys using a questionnaire. The survey conducted at Udayana Denpasar Hospital was applied with non-probability sampling techniques, namely accidental sampling with the number of samples needed was 100 respondents. The attributes used in this study were (a) physician services, (b) number of patients, (c) facilities, (d) location of the bathroom, and (e) price. The results showed that the most valued attribute by respondents was Facility. The combination of the level of each attribute that most influences the respondents in determining the room when doing hospitalization at the Level II Hospital of Udayana Denpasar is handled by a Specialist, consisting of 1 patient, bathroom, with facilities consisting of tv, air conditioning, refrigerator, cupboard , buffet, sofa, table, living room and bed for the patient's family, with a price of> 1,000,000.
CADANGAN PREMI ASURANSI JOINT-LIFE DENGAN SUKU BUNGA TETAP DAN BERUBAH SECARA STOKASTIK NI KOMANG SUKANASIH; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 7 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/MTK.2018.v07.i02.p188

Abstract

Joint life is an insurance that covered two or more individuals in one policy. This research aims to determine the value and comparison of fixed deposit rate premium and stochastic rate with Vasicek model. It used prospective calculation method. The mortality table in the research used TMI-2011, for participant were couple age 40 and 35 years old with 10 year premium payment. Under this condition the value of constant rate premium and Vasicek rate premium is and . Besed of this research showed the value of the Vasicek rate premium is smaller than constant rate premium.
POLICY VALUES ASURANSI JOINT LIFE SUAMI ISTRI DENGAN METODE PROSPEKTIF I WAYAN SANDY BAYU NUGRAHA; KETUT JAYANEGARA; I NYOMAN WIDANA
E-Jurnal Matematika Vol 8 No 2 (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.i02.p243

Abstract

Policy values are funds be held by insurance company that will be used for unexpected claims from insurance participants. The purpose of this work is to calculate constant annual premiums with and without pure endowment on joint life couple insurance, then determine and calculate formula policy values with prospective method. The policy values ??in joint life couple insurance, are affected by premium payments. Policy values ??benefit at the end of the 1st year until the end of the 11th year will increase, because the money received by insurance company from premium payments is more than the sum insured to be paid. Policy values ??benefit at the end of the 11th year until the end of the 66th year will decrease because there are no more premium payments.
PENENTUAN CADANGAN PREMI ASURANSI DWIGUNA MENGGUNAKAN METODE ILLINOIS BERDASARKAN HUKUM MORTALITAS WEIBULL AYU EKA FANNY DEVI; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 10 No 4 (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.i04.p347

Abstract

Endowment insurance provides protection benefit and saving benefits. In the endowment insurance the insured party (insurance participant) must be paid the premiums. In addition to premiums, there is also policy value, which is sum of money that must be collected by the company in preparation for claim payment. The purpose of this study was to determine calculation of policy value in endowment insurance using Illinois method based on Weibull Mortality Law. In this study used secondary data from United States Life Table in the form of mortality probability data. Calculation value using Weibull mortality law, then the policy value calculated by Illinois method. The result of this study is policy value using Illinois Method based on Weibull Mortality Law is bigger than policy value using Illinois method without Weibull mortality law in the first year until year 20th. After year 20th, the policy value using Illinois method based on Weibull mortality law is smaller than policy value using Illinois method without Weibull mortality law, while at the end of the insurance year which is year 30th, the policy value with or without Weibull mortality law generates the same value.
ASURANSI JIWA ENDOWMENT DENGAN PENGEMBALIAN PREMI MENGGUNAKAN SIMULASI MONTE CARLO MADE EDI HENDRAWAN; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 8 No 2 (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.i02.p240

Abstract

Premium refunds are a sum of the money returned to the insured. The purpose of this study was to compare the premium of endowment life insurance with premium refund on constant interest rates numerical calculations and using Monte Carlo simulations. Gompertz distribution was used to obtain the mortality rates. The results showed that the premiums generated by Monte Carlo simulations for insurance participants issued under 45 years will be more expensive than the ones which were generated by numerical calculations. However, the premiums generated by Monte Carlo simulations for insurance participants issued above 45 years will be cheaper than the ones which were generated by numerical calculations.
KARAKTERISTIK SEKTOR PERTANIAN DI PROVINSI BALI MENURUT SUBSEKTOR PENYUSUN PUTU OKA SURYA ARSANA; MADE SUSILAWATI; KETUT JAYANEGARA
E-Jurnal Matematika Vol 2 No 4 (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.i04.p054

Abstract

Bali instead of famous for tourism also popular at agriculture. One of them is subak. It is a culture heritage in the world. To cope with this problem the development in agriculture should be increased. The goal for this research are to know the identifiier factors of agriculture devolopment in Bali, the most dominat factors, and the variable which represent the development of agriculture in Bali. The method of analysis used for this research is factors analysis. Factor analysis is used to reduce the data or summary, for variable which is being changed to a new variable called factor and still load many information contained in a real variable. The method used in the factor analysis is principal component analysis method. Many  factors are determined by eigen values. The  factor rotation which used is varimax rotation. Based on the research results, got seven factors with the diversities which can be explained are 76.417%. Factors dryland farming as the most dominant factor identifier with the total value of the largest eigenvalues ??is 4.564 or 25.356% with variables representing these factors are widely planted potatoes and pulses.
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.
PERAMALAN JUMLAH WISATAWAN AUSTRALIA YANG BERKUNJUNG KE BALI MENGGUNAKAN MULTIVARIAT FUZZY TIME SERIES I MADE CANDRA SATRIA; I KOMANG GDE SUKARSA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 4 No 3 (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/MTK.2015.v04.i03.p094

Abstract

The aim of this paper is to forecast the numbers of Australian tourist to Bali using multivariate fuzzy time series method (MFTS). MFTS method is development from fuzzy time series (FTS). The defferent betwen FTS and MFTS method is showed by factor in used. In FTS method using one factor, but in MFTS method using more than one factor. In this peper there was three factor used in this research, it was number of Australian tourist, Indonesian Inflation, and change rate of AUD to IDR. At the beginning, the speed of each factor was calculated. For each factor given weight, 0,999 for numbers of Australian tourist, -0,90 for Indonesian inflation, and 0,21 for change rate of AUD to IDR. The result showed that Australian tourist at July 2014 would visit Bali as much 91.056 tourist, with average error rate 6.87%.
ANALISIS SISTEM ANTREAN PADA LOKET PENDAFTARAN POLIKLINIK SPESIALIS DI RS BALIMED KADEK DITA SUGIARI; I WAYAN SUMARJAYA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 10 No 2 (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.i02.p323

Abstract

Hospital is one of the service facilities that is not free from queue problem. One example of this hospital is Balimed Hospital. At certain times, especially in the morning, there is a lineup of patients at the Balimed Hospital’s Specialist Polyclinic. In order to maximize service, it is necessary to analyze the queuing system by applying the queuing theory. This study focuses on queues at the Balimed Hospital’s Specialist Polyclinic in Internal Disease. After conducting the research, it was found that the model used at the Specialist Polyclinic in Internal Disease is . With this model, the queuing system at Balimed Hospital's Specialist Polyclinic in Internal Disease is in steady state condition because ???? < 1. The measures of performance for queuing system at Balimed Hospital’s Specialist Polyclinic in Internal Disease is the average number of patients in queue is 0,1 patient or it can be said that there is almost no patient in queue because the value of is close to 0, the average number of patients in system is 1 patient, the average waiting time for patients in queue is 1 minute, and the average time spent by patients start from queuing until being served is 2,5 minutes. The queuing system has been effective, it can be seen from the short waiting time for patients.