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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA) Al-Jabar : Jurnal Pendidikan Matematika Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Matematika UNAND Islamic Journal of Integrated Science Education Transcendent Journal of Mathematics and Applications
Maulidi, Ikhsan
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Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Medicine & Pharmacology Physics Social Sciences Transportation Other

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Comparative Analysis of Joint Life Endowment Insurance Premium Reserves: Zillmer Method Versus Prospective Method and The Impact of Zillmer Level Hafnani, Hafnani; Maulidi, Ikhsan; Nurmaulidar, Nurmaulidar; Alindo, Sesda; Apriliani, Vina
Transcendent Journal of Mathematics and Applications Vol 4, No 1 (2025)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v4i1.46121

Abstract

The insurance company collects premium reserves obtained from the difference between the value of benefits and the value of premium payments at a time of coverage. One method of premium reserve is prospective reserve, where the calculation is based on the difference between the present value of the benefits to be received and the present value of the net premiums that will come in accordance with a predetermined annuity. This research aims to determine the amount of premium and premium reserves in joint life endowment insurance using the Zillmer method which uses the concept of prospective reserves with gross premiums as the basis for calculations. Then we compare the result with premium reserves using prospective methods, and see the effect of the Zillmer level variable on the amount of premium reserves. The results of this study can be concluded that the value of joint life joint insurance premiums increases according to age when starting insurance and the reserves of joint life insurance premiums always increase every year, until at the end of the insurance coverage premium reserves will reach the same value as the amount of compensation. The value of the premium reserve is influenced by the value of the Zillmer level used; the greater the Zillmer level value, the greater the profit earned by the life insurance company.
COMPARISON OF WEIGHTED MARKOV CHAIN AND FUZZY TIME SERIES-MARKOV CHAIN METHODS IN AIR TEMPERATURE PREDICTION IN BANDA ACEH CITY Rusdiana, Siti; Febriana, Diana; Maulidi, Ikhsan; Apriliani, Vina
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss3pp1301-1312

Abstract

Air temperature prediction is needed for various needs such as helping plan daily activities, agricultural planning, and disaster prevention. In this research, Weighted Markov Chain (WMC) method and Fuzzy Time Series-Markov Chain (FTS-MC) method are applied to predict the weekly air temperature in Banda Aceh city. The purpose of this study is to find out how the results of the application and comparison of the accuracy of the WMC method and the FTS-MC method on weekly air temperature prediction in Banda Aceh City. The prediction result of air temperature in Banda Aceh city using the WMC method for the next three weeks obtained an air temperature of 26,5℃. The prediction results of air temperature in Banda Aceh city using the FTS-MC method for the next three weeks obtained predicted values of 26,66℃ for the 105th week, 26,79℃ for the 106th week, and 26,83℃ for the 107th week. The MAPE accuracy level of the WMC method is 1,5% and the FTS-MC method is 1,7%. This shows that the MAPE of the WMC method is smaller than the FTS-MC method so it can be concluded that air temperature prediction using the WMC method is better than the FTS-MC method.
Formation of Non-Perfect Maze Using Prim’s Algorithm Ihsan, Mahyus; Razi, Fahrul; Maulidi, Ikhsan; Apriliani, Vina; Zahnur, Zahnur
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.12772

Abstract

Maze is a place that has many paths with tortuous paths that are misleading and full of dead ends and can be viewed as a grid graph. A non-perfect maze is a maze that has a cycle. This research produces an algorithm that can form a non-perfect maze with a size of m×n which has two types of bias. The first bias is the composition of the percentage of horizontal and vertical partitions. The second bias is the percentage of the number of cycles. The algorithm created in this study was generated by modifying Prim’s algorithm and the use of Fisher-Yates algorithm which is used in random selection in Prim’s algorithm. The non-perfect maze algorithm begins with the calculation of the parameter values of the two types of bias and continues with forming a perfect maze and ends with forming a non-perfect maze. The algorithm that has been designed can form a non-perfect maze with a complexity of O(|E|^2), where E is the set of edges of an m×n grid graph. Flash-based application development is also carried out in order to implement algorithms to obtain a non-perfect maze. The non-perfect maze is produced in a two-dimensional visual form in the form of an image along with its corresponding grid graph. The application is capable of displaying up to the first 20 solutions of the biased maze. 
The Characteristics of the First Kind of Chebyshev Polynomials and its Relationship to the Ordinary Polynomials Maulidi, Ikhsan; Wibowo, Bonno Andri; Apriliani, Vina; Umam, Rofiqul
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.4647

Abstract

In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number. The symmetry and orthogonality of the Chebyshev polynomial has also been demonstrated using the explicit solutions obtained. Furthermore, we have also given how to approx the polynomial function using the Chebyshev polynomials.
Comparasion Model Analysis Time of Earthquake Occurrence in Indonesia based on Hazard Rate with Single Decrement Method Novika, Fanny; Maulidi, Ikhsan; Marsanto, Budi; Amalina, Anvika Nur
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.5535

Abstract

The purpose of this studi is to find an expectations and variability as estimators of the risk of earthquakes occurring in each province in Indonesia. Indonesia is a country that prone to natural disasters, especially earthquakes and tsunamis. The earthquake disaster damage the buildings and casualties. The risk of loss from earthquakes can be transferred using insurance. Insurance companies certainly need an analysis to estimate the probability of an earthquake occurring at a certain location and time. Hazard rate has an important role in the prediction theory of the process of earthquakes. The hazard rate can be known by the single decrement method. After the hazard rate is known, the survival function and the distribution function of the cumulative distribution of earthquake data in Indonesia will be known to look for expectations and variability as estimators of the risk of earthquakes occurring in each province in Indonesia. The data used in this study is earthquake that happen in Indonesia categorized as destructive earthquake minimum 5 magnitude. We used the data to compare a hazard function using linear model, quadratic model, cubic model and exponential. First, we plot and then using each models find the standard error. The best model suggest for Indonesia prediction Time of Earthquake Occurrence using an exponential model.
Optimal Bonus-Malus Premium with the Claim Frequency Distribution is Negative Binomial and the Claim Severity Distribution is Truncated Weibull Maulidi, Ikhsan; MAULIDIA, IZZAH; Radhiah, Radhiah; Apriliani, Vina
Jurnal Matematika UNAND Vol. 15 No. 2 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.2.179-195.2026

Abstract

The optimal bonus-malus system is a system for determining the amount of premium in the next period based on the frequency and severity of claims filed by policyholders in the previous period. In this article, we study the insurance premium formula using the optimal bonus-malus system with the claim frequency has a negative binomial distribution and the claim severity has a truncated Weibull distribution. The method to derive the bonus-malus formula uses a Bayes solution with a quadratic loss function. The formula obtained has been also applied to the data of motor vehicle insurance to calculate the risk premium that must be paid by the policyholder. From the calculation results, the insurance premiums that use the optimal bonus-malus system with a truncated Weibull distribution are more profitable for both the company and the insurer than the Weibull distribution.
Integration of Qur'anic Values in Mathematics Learning: A Bibliometric Analysis Lestari, Fitria; Farid, Fajri; Syazali, Muhamad; Putra, Fredi Ganda; Maulidi, Ikhsan; Apriliani, Vina
Islamic Journal of Integrated Science Education (IJISE) Vol. 4 No. 2 (2025): July
Publisher : Program Studi Tadris IPA, Fakultas Tarbiyah dan Ilmu Keguruan, Universitas Islam Negeri (UIN) Syekh Wasil Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30762/ijise.v4i2.5921

Abstract

The integration of Qur'anic values in learning is an increasingly popular field in Education, therefore this research aims to determine the integration of Qur'anic values in Mathematics Learning This research uses a descriptive qualitative method through literature study research techniques. The data obtained based on 12 journal articles analyzed is based on a critical analysis of the available literature (articles based on scientific novelty content from 2017 to 2024 indexed on Google Scholar) data analysis techniques using VOS viewer software version 1.6.16 for graphical bibliometric mapping. Based on the data obtained Research shows the importance of combining Islamic values with mathematics to build character and advance education. Various models are proposed to integrate mathematical concepts from the Quran, such as numbers, relationships, operations, and measurements, in learning. This integration not only improves students' understanding of mathematics, but also creates a well-rounded educational experience. Therefore, it is highly recommended for teachers to teach mathematics by integrating with the values or verses of the Quran. So that students feel that learning mathematics useful for the development of student competencies.
Co-Authors Alindo, Sesda Amalina, Anvika Nur Budi Azhari Erliana, Windiani Fahrul Razi Fanny Novika Farid, Fajri Febriana, Diana Fitria Lestari Fredi Ganda Putra Hafnani Hafnani M. Duskri Mahmudi Mahmudi Mahyus Ihsan Marsanto, Budi MAULIDIA, IZZAH Muhamad Syazali Nurmaulidar Nurmaulidar Radhiah, Radhiah Rofiqul Umam Safriani, Wirda Said Munzir Saputra, T Murdani Siti Rusdiana Sukamto, Ika Sumiyarsi Syazali, Muhammad Taufiq Iskandar Valentika, Nina Vina Apriliani Wibowo, Bonno Andri Zahara, Annisa Zahnur, Zahnur