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All Journal Imajiner: Jurnal Matematika dan Pendidikan Matematika Rangkiang Mathematics Journal
Mutiya, Fenni Kurnia
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Education Languange, Linguistic, Communication & Media Mathematics Other

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Analisis K-Means Clustering pada Sarana dan Perlengkapan Fasilitas KB di Provinsi Sumatera Barat Tahun 2024 Fadilah, Salwa Hifa; Amalita, Nonong; Mutiya, Fenni Kurnia
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 1 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i1.25725

Abstract

The Family Planning Program (KB) is crucial for improving family welfare and controlling population growth. The program's success is largely determined by the availability of evenly distributed family planning facilities and equipment across all regions. This study aims to categorize districts and cities in West Sumatra Province based on the availability of these facilities and equipment to identify areas requiring priority intervention. K-means clustering was used with 10 types of family planning facilities and equipment as the variables. The results showed that two clusters were optimal, with the lowest DBI = 0,7239. The first cluster consisted of ten districts/cities with relatively low facility availability, and the second cluster included nine districts/cities with more adequate facilities.
Life Insurance Premium Calculation Using Markov Chain for Hypertension Patients in Indonesia Mutiya, Fenni Kurnia; Sepyanda, Marsika
Rangkiang Mathematics Journal Vol. 5 No. 1 (2026): Rangkiang Mathematics Journal
Publisher : Department of Mathematics, Universitas Negeri Padang (UNP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/rmj.v5i1.84

Abstract

Long-term care insurance provides death benefits if the insured dies and benefits for medical care costs during the coverage term. One of the products of this insurance is the Annuity Rider, as the Benefit can be modelled with a multi-state model. This paper discusses the calculation of annual premiums with Annuity riders as a Benefit product using a multi-state model for hypertension patients in Indonesia.  The premium calculation also utilised Markov Chain transition probabilities. The data used in the Report Survey Kesehatan Indonesia in 2023. The case study was conducted on a 40-year-old male in good health, with LTC insurance coverage for 5 years. It was known that the compensation amount for someone who died was IDR 200,000,000, and the interest rate was 7%. By calculating premiums using the multi-state model, the results yielded an annual premium of IDR 6,486,998. The result of this premium calculation is that the older someone is when they take out insurance, the greater the annual net premium they must pay.
Co-Authors Fadilah, Salwa Hifa Nonong Amalita Sepyanda, Marsika