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INDONESIA
Jurnal Matematika UNAND
Published by Universitas Andalas
ISSN : 2303291X     EISSN : 27219410     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
Fokus dan Lingkup dari Jurnal Matematika FMIPA Unand meliputi topik-topik dalam Matematika sebagai berikut : Analisis dan Geometri Aljabar Matematika Terapan Matematika Kombinatorika Statistika dan Teori Peluang.
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Articles 8 Documents
 1 
Search results for , issue "Vol 14, No 1 (2025)" : 8 Documents clear
COMPARISON OF WEIGHT MATRIX IN HOTSPOT MODELING IN WEST KALIMANTAN USING THE GSTAR METHOD Pratiwi, Hesty; Imro'ah, Nurfitri; Huda, Nur'ainul Miftahul; Ayyash, Muhammad Yahya
Jurnal Matematika UNAND Vol 14, No 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.31-45.2025

Abstract

This research aims to investigate the usefulness of the Generalized Space- Time Autoregressive (GSTAR) approach in predicting the number of fire hotspots in West Kalimantan Province. Specifically, the study compares the performance of the Queen contiguity method and the uniform weight matrix. Fires in the forests and on the land in West Kalimantan are severe problems that cause harm to the environment and other adverse effects. Data on fire hotspots were collected from four different regencies in West Kalimantan between January 2018 and March 2023 to provide the information used in this study. Compared to the uniform weight matrix, the study results reveal that the Queen contiguity weight matrix produces more accurate results. This is evidenced by the fact that the Root Mean Squared Error (RMSE) and Mean Absolute Deviation (MAD) values are lower in the Queen contiguity weight matrix. Based on these findings, more effective techniques for preventing forest and land fires are anticipated to be considered for planning purposes.
STABILITY ANALYSIS OF DRUG ABUSE TRANSMISSION DYNAMICS Zakiyyah, Abqorry; Bahri, Susila
Jurnal Matematika UNAND Vol 14, No 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.103-116.2025

Abstract

This research introduced a nonlinear deterministic model known as SLARS (Susceptible, Light Users, Addicted, and Reformed Users) along with a stability analysis to investigate the dynamics of drug abuse transmission. The basic reproduction number (R0) was calculated using the next-generation matrix method. Following this, the study examined the local stability of both the drug abuse-free and endemic equilibrium points. The findings indicated that when R0 is below 1, the drug abuse-free equilibrium point is locally stable. In contrast, when R0 is greater than 1, the endemic equilibrium point shows local stability. Additionally, simulation results supported the analytical conclusions of the study.
RAINFALL MODELLING IN EAST JAVA USING A MODIFIED ORNSTEIN-UHLENBECK MODEL Setyorini, Elisabeth Yeyen; Putri, Endah R. M.
Jurnal Matematika UNAND Vol 14, No 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.46-61.2025

Abstract

One of the current global issues is climate change and weather variability. This phenomenon has real impacts on various regions, including East Java Province. East Java is experiencing increased rainfall intensity as one of the effects of climate change. High and continuous rainfall intensity can trigger disasters such as flooding, which has the potential to cause significant financial losses for the community. Therefore, effective risk management becomes crucial. One possible solution to address these risks is through the use of financial derivatives. The initial step in risk management involves modeling the behavior of rainfall. It is assumed that the rainfall pattern follows a mean-reverting process, specifically the Ornstein-Uhlenbeck process. The existing Ornstein-Uhlenbeck model is then modified to ensure that the resulting model accurately reflects the rainfall conditions in East Java. To validate the modified model, simulations of the Ornstein-Uhlenbeck process were conducted using estimated parameter values. The Ornstein-Uhlenbeck simulation achieved a minimum MSE score that approaches zero. This MSE score indicate that the proposed modified Ornstein-Uhlenbeck model is accurate in representing the rainfall patterns in East Java.
SIMPLEX TRANSPORTATION METHOD FOR DETERMINING TRANSSHIPMENT OF CLOTHING RAW MATERIALS Hasbiyati, Ihda; Wahyuni, Syahputri; Agustiarini, Efni; Amini, Mufti Syifa; Ahriyati, Ahriyati
Jurnal Matematika UNAND Vol 14, No 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.62-84.2025

Abstract

Tujuan dari penulisan ini adalah untuk memberikan gambaran bagaimana penyelesaian masalah transshipment pengiriman bahan baku pakaian dengan metode pengangkutan simplex. Untuk menentukan solusi optimal permasalahan transshipment dengan memperhatikan koefisien biaya pengangkutan. Proses awal penyelesaian masalah ini dengan mengilustrasikan cara mengubah bilangan fuzzy menjadi bilangan tegas menggunakan fungsi rangking yang kuat, kemudian untuk mencari basis awal menggunakan metode aproksimasi Vogel, kemudian menggunakan metode transportasi simpleks untuk menguji basis awal, sehingga optimal hasil diperoleh. Sehingga dapat diambil kesimpulan bahwa satuan pengiriman barang dari satu sumber ke sumber lain dengan menggunakan metode transportasi simpleks merupakan solusi optimal untuk mencari nilai minimum dari masalah transshipment.
LOSS ELIMINATION RATIO OF TOTAL MOTOR VEHICLE INSURANCE LOSSES USING ORDINARY DEDUCTIBLE Setiawaty, Berlian; Maharani, Mutiara; Ruhiyat, Ruhiyat; Erliana, Windiani
Jurnal Matematika UNAND Vol 14, No 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.1-13.2025

Abstract

Penelitian ini membahas total kerugian dari asuransi kendaraan bermotor jika diterapkan ordinary deductible. Data yang digunakan dalam penelitian ini adalah data Motorcycle Insurance dari package insuranceData R. Pemodelan total kerugian dilakukan dengan memodelkan banyak klaim menggunakan sebaran binomial negatif dan besar klaim menggunakan sebaran beta-prime. Sebaran total kerugian merupakan sebaran compound dengan sebaran primernya binomial negatif dan sebaran sekundernya beta-prime. Sebaran compound ini sulit diperoleh bentuk analitiknya sehingga digunakan simulasi Monte Carlo. Dengan simulasi Monte Carlo dapat dihitung nilai harapan kerugian agregat tanpa ordinary deductible maupun dengan ordinary deductible, sehingga diperoleh loss elimination ratio dari penggunaan ordinary deductible. Dari perhitungan yang dilakukan dapat disimpulkan semakin besar nilai ordinary deductible, semakin meningkat pula loss elimination ratio-nya.
LOCATING CHROMATIC NUMBER OF ONE-HEART GRAPH Hamdi, Muhammad; Welyyanti, Des; Sandy, Ikhlas Pratama
Jurnal Matematika UNAND Vol 14, No 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.85-92.2025

Abstract

Bilangan kromatik lokasi merupakan konsep dari dimensi partisi graf dengan pewarnaan titik graf. Bilangan kromatik lokasi dari G, dinotasikan dengan χL(G) adalah jumlah warna minimum yang dipakai untuk pewarnaan lokasi. Dalam Artikel ini dijelaskan cara menentukan bilangan kromatik lokasi graf sehati. Metode yang dipakai agar diperolehnya bilangan kromatik lokasi graf sehati adalah dengan memperoleh nilai eksaknya. Hasil yang didapatkan dari bilangan kromatik lokasi graf sehati adalah χL(Hr_n)=4 untuk n=2 dan χL(Hr_n)=5 untuk n≥3.
A Deterministic Mathematical Model of Meningitis Transmission Dynamics with Vaccination and Screening Amar, Muh Ikhsan; Nisardi, Muhammad Rifki; Nurahmad, Muhammad Fadhil
Jurnal Matematika UNAND Vol 14, No 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.14-30.2025

Abstract

This study aims to examine the mathematical model of meningitis transmission as a deterministic model. The model includes five compartments: susceptible (S), carrier (C), infected (I), treatment (T), and recovered (R). We also consider vaccination and screening as interventions in disease transmission. In this work, we obtained two equilibrium points: disease-free equilibrium point and endemic equilibrium point. The next generation matrix is employed to compute the basic reproduction numbers ($R_0$). We also analyzed the sensitivity of parameters concerning $R_0$. If $R_0 < 1$, then the disease-free equilibrium point exists and is locally stable, whereas the endemic equilibrium point exists when $R_0 > 1$ and is locally stable if the Routh-Hurwitz criterion is satisfied. We use the Runge-Kutta 4th order method to confirm the stability properties of the equilibrium points and also show that vaccination and screening affect the transmission dynamics of Meningitis
CLUSTERING ANALYSIS OF PROVINCIAL IN INDONESIA BASED ON THE 2023 HUMAN DEVELOPMENT INDEX INDICATORS USING THE K-MEDOIDS ALGORITHM Sabrina, Syafa Marwa; Setiawan, Tabah Heri
Jurnal Matematika UNAND Vol 14, No 1 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.1.93-102.2025

Abstract

Indonesia memiliki visi Indonesia Emas pada tahun 2045, namun pencapaian Indeks Pembangunan Manusia (IPM) dalam 20 tahun terakhir menunjukkan tantangan untuk mewujudkan visi tersebut. Penelitian ini menggunakan algoritma k-medoids untuk melakukan clustering provinsi di Indonesia berdasarkan indikator IPM tahun 2023. K-medoids dipilih karena keunggulannya dalam menangani outlier. Berdasarkan hasil perbandingan dengan metode k-means dan fuzzy c-means, metode k-medoids juga terbukti merupakan metode terbaik karena cluster yang terbentuk pada k-medoids terpisah dengan baik dan memiliki struktur yang kuat. Hasil penelitian menghasilkan tiga cluster: C1 memiliki anggota provinsi dengan IPM sangat tinggi, C2 memiliki anggota provinsi dengan IPM tinggi, sementara C3 memiliki anggota provinsi dengan IPM sedang. Analisis ini diharapkan menjadi bahan evaluasi dan referensi bagi pengembangan metode clustering.

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