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All Journal Kinetik: Game Technology, Information System, Computer Network, Computing, Electronics, and Control Indonesian Actuarial Journal
Mustafa Mamat
Faculty of Informatic and Computing, Universiti Zaenal Abidin, Kuala Terengganu, MALAYSIA
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Energy Engineering Mathematics Physics

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The Implementation of Ibn al-Haytham’s Method for Determining Qibla Direction Using Raspberry Pi Sanjaya, W. S. Mada; Roziqin, Akhmad; Anggraeni, Dyah; Mamat, Mustafa
Kinetik: Game Technology, Information System, Computer Network, Computing, Electronics, and Control Vol. 7, No. 1, February 2022
Publisher : Universitas Muhammadiyah Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22219/kinetik.v7i1.1342

Abstract

Ibn al-Haytham or better known as Alhazen (965-1040 AD) was a great Muslim scientist who mastered many disciplines. One of his works entitled "Qawl fi Samt al-Qibla bi al-Hisab" describes a mathematical method for determining the direction of Qibla. In this paper, Ibn al-Haytham's algorithm is modified, thus the algorithm can determine the Qibla direction on the entire surface of the globe. Then, Ibn al-Haytham's mathematical method is compared with modern spherical trigonometry methods and our previous research using al-Biruni’s method. The computational results show that all methods have the same accuracy, and show that ibn al-Haytham's method is still relevant now. Therefore, the modified ibn al-Haytham method algorithm was implemented to develop a Qibla direction device and interface based on Raspberry Pi 4, GPS module, digital compass, and Processing 3 software. The implementation results show that the device can display the Qibla direction interface according to numerical calculations with high accuracy, real-time, and dynamic interface.
Modelling The Probability of Insurance Company’s Bankruptcy Using Integro-Differential Equation and Its Simulation Maulida, Ghafira Nur; Prabowo, Agung; Supriyanto, Supriyanto; Mamat, Mustafa; Sukono, Sukono
Indonesian Actuarial Journal Vol. 1 No. 1 (2025): Indonesian Actuarial Journal
Publisher : Persatuan Aktuaris Indonesia

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Abstract

Ruin is one of the risks that insurance companies may face. Therefore, modeling the probability of ruin is a crucial aspect of risk management. This study aims to model and analyze the probability of ruin in insurance companies using integro-differential equations, assuming that the claim size follows a mixtures of two exponential distributions. The research methods are literature study and numerical simulation with phyton. Numerical calculations were performed using Python programming, and the results are presented in tables and graphs to facilitate analysis. The model is applied to three different cases. The findings indicate that the probability of ruin is inversely proportional to the initial capital and premium loading, while it is directly proportional to the expected value of claims. In other words, the probability of ruin decreases significantly as the initial capital and premium loading increase, whereas it increases as the expected value of claims rises. Therefore, the greater the surplus of an insurance company, the lower the probability of ruin.
Co-Authors Agung Prabowo Anggraeni, Dyah Mada Sanjaya WS Maulida, Ghafira Nur Roziqin, Akhmad Sukono . Supriyanto Supriyanto