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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 17 Documents
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Search results for , issue "Vol 7 No 2 (2018)" : 17 Documents clear
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.
THE EXISTENCE AND UNIQUENESS OF COMPLETION OF COMPLEX VALUED METRIC SPACES DAHLIATUL HASANAH; IMAM SUPENO
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.p202

Abstract

Completion of a metric space has been investigated and proved its existence and uniqueness. While a complex valued metric space is considered as a generalization of a metric space, we study the completion properties of complex valued metric spaces. Using redefined definitions of isometry and denseness in complex valued metric spaces which correspond to the definitions in metric spaces, we prove the existence and uniqueness of completion of a complex valued metric space.
PENENTUAN CADANGAN PREMI DENGAN PERHITUNGAN PROSPEKTIF UNTUK ASURANSI PENDIDIKAN ANGGIE EZRA JULIANDA HUTAPEA; I NYOMAN WIDANA; LUH PUTU IDA HARINI
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.p193

Abstract

The purpose of this research is to get formula to calculate premium reserve value with prospective calculation for education insurance. This study examines the value of premium reserves for people aged 40 years with a coverage period of 17 years. In determining the value of premium reserve using the prospective calculation. It will be started by completing the value of the Indonesian Mortality Table 2011 using the interest rate of 6.5%, calculating the cash value of the benefit, the annuity value, the net annual premium value, and the net monthly premium value. The results of this study indicate that the value of premium reserves with a prospective calculation for benefits paid at the end of the year and the premium reserve value for benefits paid at the time the insured dies, its value with the value of the cash price set by the insurer at the end of year- 17 on the insurance contract.
METODE VECTOR AUTOREGRESSIVE (VAR) DALAM PERAMALAN JUMLAH WISATAWAN MANCANEGARA KE BALI TJOK GDE SAHITYAHUTTI RANANGGA; I WAYAN SUMARJAYA; I GUSTI AYU MADE SRINADI
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.p198

Abstract

The purposes of this research were to model and to forecast the number of foreign tourists (Australia, China, and Japan) arrival to Bali using vector autoregressive (VAR) method. The estimated of VAR model obtained to forecast the number of foreign tourists to Bali is the sixth order VAR (VAR(6)).We used multivariate least square method to estimate the VAR(6)’s parameters.The mean absolute percentage error (MAPE) in this model were as follows 6.8% in predicting the number of Australian tourists, 15.9% in predicting the number of Chinese tourists, and 9% in predicting the number of Japanese tourists. The prediction of Australian, Chinese, and Japanese tourists arrival to Bali for July 2017 to December 2017 tended to experience up and downs that were not too high compared to the previous months.
SIMULASI PERGERAKAN RUNTUHAN LONGSOR MENGGUNAKAN MODEL SAVAGE-HUTTER DENGAN FINITE VOLUME METHOD ALIFANDA PINKAN LUDICA; P. H. GUNAWAN; ANIQ A. ROHMAWATI
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.p189

Abstract

The avalanche is simulated using the Savage-Hutter model with Finite Volume Method (FVM) as a numerical solution in one dimension. The scheme used in FVM is collocated-grid. The aim of this research is to observe the avalanche based on different sediment types on the incline bed with the same initial sediment height. These simulations produce the value of velocity and height avalanche. For each type of sediment has a difference in velocity and height of avalanche affected by the internal angle of friction and the bed friction angle. Sediments with the highest bed friction angle have highest speed. The average velocity of each sediment are Quartz with u = 10.627, Yellow Sand with u = 7.437, and Rice with u = 2.1178 at time t = 1.
PERBANDINGAN PROFIT TESTING MODEL DETERMINISTIK DAN STOKASTIK PADA ASURANSI UNIT LINK VALERIA TRISNA YUNITA; I NYOMAN WIDANA; LUH PUTU IDA HARINI
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.p203

Abstract

Profit testing is a method to find out the potential loss or gain of unit link life insurance product. Unit-link life insurance is a combination of life insurance and investment. The aim of this research was to determine the potential benefits or losses of unit-linked life insurance products using a deterministic model and stochastic model. The calculation result using these model for a policy issued to a life aged 35, 45, and 55 and the benefit is paid till age 99 showed that the profit which insurer can claim only for insurance issued to a life age 25 years old.
PERAMALAN PERSEDIAAN INFUS MENGGUNAKAN METODE AUTOREGRESSIVE INTEGRATED MOVING AVERAGE (ARIMA) PADA RUMAH SAKIT UMUM PUSAT SANGLAH I PUTU YUDI PRABHADIKA; NI KETUT TARI TASTRAWATI; LUH PUTU IDA HARINI
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.p194

Abstract

Infusion supplies are an important thing that must be considered by the hospital in meeting the needs of patients. This study aims to predict the need for infusion of 0.9% 500 ml of NaCl and 5% 500 ml glucose infusion at Sanglah General Hospital (RSUP) Sanglah so that the hospital can estimate the many infusions needed for the next six months. The forecasting method used in this research is the autoregressive integrated moving average (ARIMA) time series method. The results of this study indicate the need for infusion at Sanglah Hospital as many as 154,831 units for infusion of 0.9% NaCl 500 ml and 8,249 units for 5% 500 ml Glucose infusion.
PENGELOMPOKAN SAYURAN BERDASARKAN KEMIRIPAN KANDUNGAN GIZI AYU SANDRA TIARA DEWI; NI LUH PUTU SUCIPTAWATI; I GUSTI AYU MADE SRINADI
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.p199

Abstract

One of the either of health maintain is trough the food consumption pattern that fulfill nutrient content. Vegetables are needed to body as source of vitamin, mineral and fiber in gaining healthy food pattern as a recommended guidance of nutrient balancing for optimal health. This research is aimed to determine several type of vegetables that have similarity of nutrient content and types of nutrient content which characterized of each vegetables grup. The method is biplot analysis. Biplot analysis can show the type of vegetables and type of nutrient content simultaneously in a two-dimensional plot. From this plot, the information about vegetables that have similarity of nutrient content and type of nutrient content which characterized of each vegetables group. This research used 37 type of vegetable as an observation object and type of nutrient content observed is 13. The result of this analysis is obtained 7 vegetables group with different characteristic changes.
KONVERGENSI NUMERIK FLUKS RUSANOV DAN HLLE PADA METODE BEDA VOLUM UNTUK MENGHAMPIRI PERSAMAAN AIR DANGKAL EKO MEIDIANTO N. R.; P. H. GUNAWAN; A. ATIQI ROHMAWATI
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.p190

Abstract

This one-dimensional simulation is performed to find the convergence of different fluxes on the water wave using shallow water equation. There are two cases where the topography is flat and not flat. The water level and grid of each simulation are made differently for each case, so that the water waves that occur can be analyzed. Many methods can be used to approximate the shallow water equation, one of the most used is the finite volume method. The finite volume method offers several numerical solutions for approximate shallow water equation, including Rusanov and HLLE. The derivation result of the numerical solution is used to approximate the shallow water equation. Differences in numerical and topographic solutions produce different waves. On flat topography, the rusanov flux has an average error of 0.06403 and HLLE flux with an average error of 0.06163. While the topography is not flat, the rusanov flux has a 1.63250 error and the HLLE flux has an error of 1.56960.
PERHITUNGAN AKTUARIA MANFAAT PENSIUN-NORMAL SUKU BUNGA VASICEK MENGGUNAKAN METODE ENTRY AGE NORMAL WIMAS ASTARI YUDA; I NYOMAN WIDANA; I WAYAN SUMARJAYA
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.p195

Abstract

Vasicek is one of the stochastic interest rate models that can figure out fluctuating interest rate movements. This study aims to determine the actuarial calculation of normal contributions and actuarial liability with Vasicek interest rates using entry age normal (EAN) method. Based on the calculation of normal contribution and actuarial liability with Vasicek interest rate using this method for normal retirement age of 56 years obtained a smaller value than using constant interest rate.

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