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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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Estimasi Risiko Kredit Obligasi Dengan Suku Bunga Stokastik Berdasarkan Probability Of Default Surma, Odilia Gratiaplena; Dharmawan, Komang; Ida Harini, Luh Putu
Jurnal Matematika Vol 13 No 2 (2023)
Publisher : 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.2023.v13.i02.p166

Abstract

Bonds as a fairly safe short-term and long-term investment product certainly still have potential investment risks. One of the risks in bond products is credit risk in the form of default, where the issuer fails to pay obligations to investors. The Merton model is one method that can be applied in estimating credit risk on bonds. The interest rate applied in the Merton model is generally a constant interest rate so that in this study the constant interest rate will be replaced by the stochastic interest rate of the Cross Ingersoll Ross (CIR) model. This study aims to calculate the probability of default by applying the CIR model interest rate in the Merton model of BRI bank based on a bond value of 605 billion and a bond contract period of 7 years. The results of the calculation of the CIR model interest rate of 7.28% by substituting it into the Merton model calculation obtained a probability of default value of 0.0% which indicates that there is no risk of default by BRI bank at maturity
Algoritma Djikstra : Rute Pengungsian Terpendek Daerah Rawan Bencana di Desa Canggu Arimbawa K., Ida Bagus Kade Puja
Jurnal Matematika Vol 14 No 1 (2024)
Publisher : 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.2024.v14.i01.p171

Abstract

Canggu Village, located in North Kuta, Badung Regency, Bali, Indonesia, is a popular tourist area with a population density of 1,305 people per square kilometer. This region offers an attractive combination of natural beauty, rich Balinese culture, and modern lifestyle, yet it also faces high risks of natural disasters such as floods, tsunamis, and coastal erosion due to its coastal location. The coastal geography of Canggu necessitates awareness and preparedness for disasters. This study focuses on formulating and implementing evacuation routes using the Dijkstra algorithm to find the shortest and safest evacuation path from disaster-prone areas to safe zones. The results indicate that the Dijkstra algorithm is effective in establishing evacuation routes from the most vulnerable points, such as Batu Bolong Beach, to safe zones with varying distances, allowing residents to leave high-risk areas quickly and safely. These recommendations are expected to be used by local governments in disaster planning and management.
Aplikasi Rantai Markov pada Perpindahan Konsumen Merek Sabun Mandi Santoso, Louis Vigo; Rajagukguk, Rikardo Jordan; Wilantara, I Gede Ligar Nouvaldi; Putera, Judha Dana; Nurahmadiningsi, Nurahmadiningsi; Dwi Octavanny, Made Ayu
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : 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.2023.v13.i01.p160

Abstract

The purpose of this study is to determine the market share for several future periods of the Lifebuoy, NUVO, Dettol, and other soap brands and the market share when equilibrium conditions are reached by applying the markov chain to the movement of soap consumers. Markov chain is a method for analyzing the properties of a variable in the present based on past properties to interpret the properties of these variables in the future. The results showed that the highest market share was held by Lifebuoy with 37.6% and followed by other brands (25.7%), Dettol (20.2%), and NUVO (16.5%). In subsequent periods the market share of Lifebuoy, NUVO and Dettol has increased while the other brands have decreased. The market share when the equilibrium condition is reached is Lifebuoy (37.8%), other brands (24.2%), Dettol (21.1%), and NUVO (16.9%).
Implementasi Algoritma Dijkstra Menggunakan Adjacency Matrix Ismawati, Iis; Maulani, Alfi
Jurnal Matematika Vol 14 No 1 (2024)
Publisher : 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.2024.v14.i01.p167

Abstract

Abstract: Dijkstra's algorithm is an algorithm that can support finding the fastest route by mapping alternative trajectories in finding travel routes. The aim of this research is to find alternative travel routes by implementing the Dijkstra Algorithm using the Adjacency Matrix to pick up goods from the PT Drop Center Warehouse. Cisoka Express Technology Jet. Survey data in the form of customer names and addresses from two sub-districts was used. The results obtained with the Dijkstra Algorithm using the adjacency matrix obtained 4 routes in searching for the shortest path to pick up goods in Cisoka sub-district with the first route totaling 5 points with a distance of 9.35 km, the second route totaling 5 points with a distance of 9 km, the third route totaling 3 points with a distance of 3.95 km and the fourth route consists of 2 points with a distance of 3.6 km. and for Solear sub-district there are 3 routes, the first route is 7 points 14.9 km away, the second route is 9 points 14.72 km away and the third route is 2 points 5.85 km away. . Keywords: Dijkstra's Algorithm, Matrix, Shortest Path
Nilai Cadangan Premi Pada Asuransi Kesehatan Individu Dengan Menggunakan Metode New Jersey dan Fackler Damayanti, Ni Kadek Vivin; Widana, I Nyoman; Eka Dwipayana, I Made
Jurnal Matematika Vol 13 No 2 (2023)
Publisher : 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.2023.v13.i02.p165

Abstract

Hospital individual healthcare insurance is a type of insurance that offers health benefits to insurance participants to cover the cost of hospitalization and medical treatment if they get sick. Premiums paid by insurance participants will be managed by the insurance company to fund the health costs of the insured. An insurance company's obligation to pay an amount of money that must be set aside by the insurance company at a later date is called a premium reserve. This research was conducted with the aim of finding out how much the premium reserves for individual health insurance are using the New Jersey and Fackler methods with a coverage period of 25 years assisted by the Indonesian Mortality Table IV. Using Fackler method the results of calculating premium of individual health insurance using Fackler method for participants aged 15th, 36th and 40th respectively and , with a compensation amount of . Besides this, the amount of reserves increased from the first year to the 19th year and decreased from the 20th year to the 25th year. In addition, it should be noted that the reserve value at the end of the t-year calculated using the New Jersey method is always smaller than the reserve value calculated using the Fackler method, for Keywords: Individual Health Insurance, Premium Reserve, New Jersey, Fackler
Penerapan Metode K-means Pada Klasterisasi Provinsi di Indonesia Berdasarkan Indikator Indeks Kebahagiaan Damayanthi, Ni Wayan Rita; Suciptawati, Ni Luh Putu; Jayanegara, Ketut; Sukarsa, I Komang Gde; Kencana, Eka N.; Wijayakusuma, I Gusti Ngurah Lanang
Jurnal Matematika Vol 14 No 1 (2024)
Publisher : 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.2024.v14.i01.p172

Abstract

The happiness index is a measure that reflects individual well-being, thus playing an important role in the development of a region. The level of happiness in Indonesia is still significantly lower compared to other ASEAN countries. In relation to efforts to improve the happiness index in Indonesia, this study applies the K-means method to cluster the 34 provinces of Indonesia based on the indicators of the happiness index for the year 2021. The data used is sourced from publications by the Indonesian Central Bureau of Statistics with seven happiness index indicators and employing the Minkowski distance. The clustering results of the 34 provinces using the K-means method obtained four clusters with a cluster accuracy value of 71 percent. Cluster 1 consists of seven provinces with a fairly high average of seven attributes, cluster 2 consists of seven provinces is a cluster with a low average level of internal and external satisfaction, cluster 3 consists of four provinces with a high average of seven attributes, and cluster 4 consists of 16 provinces is a cluster with provinces with a fairly high average level of external satisfaction, but a low level of internal satisfaction.
Analisis Model Struktural Penyusun Kepuasan Pelanggan Grabfood di Kota Sumbawa Besar Hermanto, Koko; Yansyah, Renaldi
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : 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.2023.v13.i01.p161

Abstract

Grab berdiri pada tahun 2012 di Malaysia dan berkembang di berbagai negara Asia Tenggara termasuk di Indonesia, dan pada tahun 2021 masuk ke kabupaten Sumbawa. Salah satu layanan yang diberikan oleh Grab adalah Grabfood dan berdasarkan hasil observasi yang dilakukan kepada pengguna Grabfood di Sumbawa ditemukan beberapa persoalan yaitu masih dirasa kurang puas oleh pengguna diantaranya adalah kualitas pelayanan, harga yang cukup tinggi terutama di Grabfood terdapat selisih harga yang cukup signifikan dengan harga beli secara langsung ditempat, serta promosi Grab di Sumbawa masih kurang. Berdasarkan persoalan tersebut maka perlu dianalisis kepuasan pelangganpengguna Grabfood terhadap kualitas pelayanan, harga dan promosi. Metode yang digunkan dalam penellitian ini adalah Structural Equation Modeling (SEM) dengan pendekatan software Lisrel 8.8. Berdasarkan hasil penelitian kualitas pelayanan memiliki hubungan positif 17% terhadap kepuasan pelanggan Grab, harga memiliki hubungan positif 51% terhadap kepuasan pelanggan Grab, sedangkan promosi memiliki hubungan positif 14% terhadap kepuasan pelanggan Grab. Hasil penelitian diharapkan dapat menjadi acuan dalam pengambilan keputusan bagi pengendara Grab untuk mempertahankan eksistensinya di kota Sumbawa Besar.

Page 19 of 19 | Total Record : 187

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