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E-Jurnal Matematika
Published by Universitas Udayana
ISSN : 23031751     EISSN : -     DOI : -
Core Subject : Education,
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 317 Documents
PENENTUAN NILAI PREMI ASURANSI PERTANIAN BERBASIS INDEKS CURAH HUJAN PADA KOMODITAS KEDELAI YANG DISIMULASI MENGGUNAKAN DISTRIBUSI WEIBULL DEWI, NI PUTU AYUNDA SURYA; DHARMAWAN, KOMANG; SARI, KARTIKA
E-Jurnal Matematika Vol 9 No 4 (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.i04.p306

Abstract

Agricultural insurance protects farmers who experience crop failure. This study aims to calculate the value of agricultural insurance premium by applying simulated rainfall index-based using stochastic weather generator on soybean commodities in Negara sub-district. This study are used rainfall data to determine the probability of the transition, then perform rainfall simulations using the Stochastic Weather Generator method to obtain trigger values and continued with the calculation of agricultural insurance premiums. Results of this study provide the value that higher trigger is taken, the greater the insurance premium that must be paid. The value of insurance premiums to be paid is 4,18% - 5,66% of insurance costs Rp2.605.000,00.
PENYELESAIAN MULTI TRAVELING SALESMAN PROBLEM DENGAN ALGORITMA GENETIKA MAYULIANA, NI KADEK; KENCANA, EKA N.; HARINI, LUH PUTU IDA
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.
KAUSALITAS KONTRIBUSI INDUSTRI PARIWISATA DAN JUMLAH KUNJUNGAN WISATAWAN TERHADAP PERTUMBUHAN EKONOMI YUDISTIRA, COKORDA BAGUS; SUMARJAYA, I WAYAN; HARINI, LUH PUTU IDA
E-Jurnal Matematika Vol 7 No 4 (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.i04.p222

Abstract

Bali is known as one of the most popular tourism destination in the world. The number of tourist visit to Bali increases every year. In 2010, there roughly 7 millions tourist visits to Bali and reach up to 14 million people by the end of 2017. This increased in number may affect the growth of tourism industries and economic growth in Bali Province. This study aims to analyze the patterns of causal relationship between tourism industry receipts, tourist visits, and economic growth in Bali based on time series data using vector autoregressive (VAR) model. The results conclude the following: (i) foreign tourist visits is significantly affect economic growth. In addition, economic growth, domestic tourist visits, and foreign tourist visits are significantly impact to tourism industry receipts, (ii) economic growth would affect the tourism industry receipts in the next four consecutive months, (iii) the forecasting result of economic growth with VAR model is highly accurated with MAPE 2%.
APLIKASI REGRESI DATA PANEL DENGAN PENDEKATAN FIXED EFFECT MODEL (STUDI KASUS: PT PLN GIANYAR) RATNASARI, NI PUTU ANIK MAS; KENCANA, I PUTU EKA NILA; GANDHIADI, G.K.
E-Jurnal Matematika Vol 3 No 1 (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.i01.p059

Abstract

Panel data regression has three approaches. One of these approaches is Fixed Effect Model (FEM). FEM is common estimated using Least Square Dummy Variable. The use of dummy variable in FEM is based on assumption that slope coefficients are constant but intercept varies over individuals. One of application of FEM is to find out motivation of employees at PT PLN Gianyar for non-outsourcing and outsourcing employees based on existence, relatedness, and growth. This research yields the following two models:with 67% motivation non-outsourcing employees represented by existenceand73% motivation non-outsourcing employees represented by existence and growth.
MODEL DINAMIKA PENYEBARAN PENYAKIT CAMPAK DENGAN PENGARUH VAKSINASI DAN PENERAPANNYA DI PROVINSI NUSA TENGGARA BARAT ,, MUTMAINNAH; AWALUSHAUMI, LAILIA; AINI, QURRATUL
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.p242

Abstract

Measles is an acute disease highly contagious, caused the measles. This disease is transmitted through droplet or direct contact to the patient. Besides causing various complications, this disease can also cause death. The purpose of this research was we formulated a model the dynamics of the spread of diseases by the influence of a measles vaccination, that are used to know the influence of vaccination to the spread of diseases measles in the province of NTB. The dynamics model of the spread of diseases by the influence of a measles vaccination, Based on a implementation model in NTB Province we get bigger the scope of vaccination done in the NTB so the less individuals are susceptible when stability and measles disease faster disappearance.
PERBANDINGAN HASIL PERHITUNGAN PREMI ASURANSI JIWA ENDOWMENT SUKU BUNGA VASICEK DENGAN DAN TANPA SIMULASI MONTE CARLO SARI, DESI KURNIA; WIDANA, I NYOMAN; SARI, KARTIKA
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.p150

Abstract

Vasicek is one of the stochastic interest rate model that can capture interest rates movement. The aim of this research was to get the comparison of the level premium for an endowment life insurance under stochastic interest rate without and by using Monte Carlo simulation. The result show that the level premium without Monte Carlo simulation is not much different from the result of the level premium by using Monte Carlo simulation. However, the premium calculation  by using Monte Carlo simulation can also be searched the range of losses and gains of the insurance company at certain confidence interval. In this case using a confidence interval of 95%.
ANALISIS PRODUK ASURANSI UNIT LINK DI INDONESIA WIDANA, I NYOMAN; JAYANEGARA, KETUT
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.
MODEL REGRESI TOBIT KONSUMSI SUSU CAIR PABRIK (Studi Kasus Rumah Tangga di Provinsi Bali) JERYANA, I PUTU; KENCANA, I PUTU EKA NILA; GANDHIADI, G. K.
E-Jurnal Matematika Vol 3 No 2 (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.i02.p068

Abstract

Regression analysis is used to study the relationship between dependent (response) variable with one or more independent (causal) variables. While response data were censored, then Tobit regression model could be applied.  According to Greene (2003), censored data were data with incomplete observation or the dependent variable has a value of zero, while for the other observations have particular value.  This research aimed to model dairy milk’s consumption from households at Bali Province.  By using data from Survey SosialEkonomiNasional (SUSENAS) or Social Economy’s National Survey (SENS) for year 2012, 615 households were selected as sampling unit using simple random sampling technique, and found 123 households who consumed dairy milk.  The independent variables in our model were last education level completed by head of household’s (X1), head of household’s work (X2), age of head of household’s (X3),  amount of expenditure for food consumption’s (X4), number of household members (X5), and household income (X6), the response variable was budget for buying dairy milk (Y).  From six independent variables, is found only last education level by head household and amount of expenditure for food consumption had siginficant effect on Y’s.  The final Tobit regression model were obtained using AIC (Akaike Information Criterion) method is Y = -3314724 + 565429,7 X1 + 0,014278 X4 with pseudo R2 as much as 16.79 per cent.
RUSSELL’S APPROXIMATION METHOD DAN IMPROVED VOGEL’S APPROXIMATION METHOD DALAM PENYELESAIAN MASALAH TRANSPORTASI DEWI, NI PUTU INTAN PUSPA; TASTRAWATI, NI KETUT TARI; SARI, KARTIKA
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.p251

Abstract

Distribution activities in company which related in distribution sometimes have a problems, one of the problems is transportation problem. To solve that problem can be used a transportation model to obtain the distribution route so the cost that come out is more minimum. The aim of this research is to compare the initial solution of RAM and IVAM and to know the distribution route in distribution of bottled water in the CV. Prasarana Fortuna Prima so obtained the minimum distribution costs after optimality test using MODI. The results showed that RAM gave a lower initial solution than IVAM and the initial solution of RAM was optimum after optimality test using MODI with a distribution routes is from depo Klungkung to Toko Bintang, Toko Subur, Toko Cahaya Melati, Toko Mawar Sari, and Coco Mart Ubud, from depo Kapal to CV. Sumber Jaya, Toko Sol Mandala, and Toko Kayana, from depo Mahendradatta to Toko Sinar Wangi and Toko Aris.
MODEL PERSAMAAN STRUKTURAL UNTUK MENGETAHUI PERSEPSI KONSUMEN TERHADAP BUAH IMPOR PRADANA, I KADEK TEGUH; TASTRAWATI, NI KETUT TARI; KENCANA, I PUTU EKA NILA
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.p292

Abstract

This research is aimed to determine the factors that significantly influence consumer perception in buying imported fruits using structural equation modeling (SEM) analysis. The study use 164 data obtained from questionnaire, which respondents were aged 18 years old or above, from Gianyar Regency, had bought and had felt imported fruits. The study use 4 latent variables (perception, product, personal, culture) with 19 measured variables. The results showed that consumer knowledge about imported fruits (product) and culture about the use of imported fruits in traditional ceremonies (culture) were significantly influence consumer perception about consumption of imported fruit (perception).

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