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KUBIK: Jurnal Publikasi Ilmiah Matematika
Published by UIN Sunan Gunung Djati Bandung
ISSN : 23380896     EISSN : 26860341     DOI : 10.15575/kubik
Core Subject : Economy, Science, Education,
Computer Science & IT Economics, Econometrics & Finance Mathematics
Fuzzy Systems and its Applications Geometry Theories and its Applications Graph Theories and its Applications Real Analysis and its Applications Operation Research and its Applications Statistical Theories and its Applications Dinamical Systems and its Applications Mathematics Modeling and its Applications Discrete Mathematics and its Applications Computer Mathematics and its Applications Mathematics Actuaria and its Applications
Arjuna Subject : Matematika - Matematika Terapan
Articles 12 Documents
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Search results for , issue "Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika" : 12 Documents clear
Dynamical Analysis in A Leslie-Gower Model Involving Allee Effect and Non-Linear Harvesting Firdiansyah, Adin Lazuardy
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.38272

Abstract

The fishing industry has fished the Atlantic cod population for a millennium. As fishing became greater, the Atlantic cod population declined. During this crisis, fishing declined drastically, but the species is still struggling to bounce back. This is due to the growing number of sharks and other North Atlantic invertebrates. Based on this phenomenon, a Leslie-Gower model involving additive Allee effects and non-linear harvesting is considered to describe population dynamics. Further research is done on the existence and stability of equilibrium points as well as the positivity, permanence, and boundedness of solutions. It was found that the permanence requirement was used as a condition to ensure the two populations lived together. Numerical simulations are performed in the last section to bolster the analysis's findings.
Perbandingan Metode K-Means dan OPTICS dalam Penggerombolan Kemiskinan Multidimensi di Indonesia Sari, Devi Permata; Rizqi, Tasya Anisah; Fitrianto, Anwar; M.S, Erfiani; Jumansyah, L.M. Risman Dwi
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.39877

Abstract

Kemiskinan multidimensi tetap menjadi tantangan serius di Indonesia meskipun telah mengalami penurunan dalam beberapa tahun terakhir. Penelitian ini bertujuan menganalisis dan membandingkan pola kemiskinan multidimensi di 34 provinsi Indonesia menggunakan metode K-Means dan OPTICS Clustering. Data kemiskinan multidimensi yang digunakan mencakup aspek ekonomi, pendidikan, ketenagakerjaan, dan standar hidup dari Badan Pusat Statistik. Analisis statistik deskriptif mengungkapkan kesenjangan signifikan antar provinsi dalam berbagai dimensi kemiskinan, dengan korelasi tertinggi sebesar 0,4 antara dimensi pendidikan dan status ketenagakerjaan. K-Means Clustering mengidentifikasi 5 cluster provinsi dengan karakteristik beragam, menunjukkan adanya trade-off antara akses fasilitas dan tingkat kemiskinan. Sementara itu, OPTICS Clustering menghasilkan 2 cluster utama, dengan cluster 1 terdiri dari 24 provinsi yang memiliki kondisi cenderung homogen dan cluster 2 terdiri dari 7 provinsi dengan karakteristik yang berbeda secara signifikan. Perbandingan performa menunjukkan OPTICS unggul dengan nilai Silhouette Index dan WCSS yang lebih baik dibandingkan K-Means. Temuan ini memberikan kontribusi penting dalam analisis kemiskinan multidimensi di Indonesia dan dapat dimanfaatkan untuk merancang program pengentasan kemiskinan yang lebih terlokalisasi sesuai karakteristik masing-masing cluster.
Metode Munich Chain Ladder dalam Menghitung Cadangan Klaim Firenz, Berliana Permata; Agustina, Dina
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.33278

Abstract

Asuransi adalah produk keuangan yang memberikan perlindungan terhadap potensi kerugian keuangan dengan cara memindahkan risiko kerugian keuangan dari individu ke perusahaan asuransi. Pada asuransi terdapat istilah cadangan klaim, yaitu dana yang harus disiapkan oleh perusahaan asuransi di masa mendatang untuk menyelesaikan pembayaran klaim yang telah terjadi. Umumnya, dalam menentukan besarnya cadangan klaim, perusahaan asuransi menggunakan metode Chain Ladder. Pada penelitian ini digunakan modifikasi dari metode Chain Ladder, yaitu metode Munich Chain Ladder. Metode ini membantu perusahaan asuransi mengestimasi bagaimana klaim akan berkembang seiring waktu, sehingga mereka dapat menyiapkan cadangan yang tepat. Penelitian ini bertujuan untuk mengetahui tahapan perhitungan cadangan klaim serta mengetahui hasil selisih estimasi cadangan klaim yang dibayarkan dan klaim yang ditanggung pada studi kasus asuransi kendaraan bermotor di perusahaan asuransi X menggunakan metode Chain Ladder dan metode Munich Chain Ladder. Berdasarkan hasil perhitungan menggunakan Chain Ladder diperoleh gap sebesar Rp 26.034.501.350, sedangkan menggunakan Munich Chain Ladder diperoleh gap sebesar Rp 21.567.539.369. Oleh karena itu, metode Munich Chain Ladder terbukti lebih efisien dalam memproyeksikan cadangan klaim, karena memungkinkan perusahaan asuransi untuk mengalokasikan dana cadangan klaim yang lebih kecil, sehingga sisa dana dapat dialokasikan untuk tujuan lain.
ESTIMASI CADANGAN KLAIM MENGGUNAKAN METODE KALMAN FILTER DENGAN STATE SPACE MODEL SCALAR PADA PRODUK ASURANSI UMUM Manurung, Chintya Carissa; Yulita, Tiara; Listiani, Amalia
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Usually, there is a delay in reporting claims from the time of the incident which results in the insurance company having a responsibility or debt. Therefore, insurance companies need to prepare funds to cover these debts, namely with claims reserves. There are two types of claim reserves, namely Incurred But Not Reported (IBNR) and Reported But Not Settled (RBNS). This research focuses on determining the estimation of aggregate claim reserves using the Kalman Filter method with scalar State Space Models (SSMs) which is a model resulting from the development of the Chain Ladder (CL) method. The Kalman Filter method with SSMs is a stochastic method that takes into account the time series model so that it can predict the temporal dynamics of a system more accurately. The results of forecasting claim reserves using the Kalman Filter method with SSMs will be compared with the CL method. Variational Of Coefficient (VOC) is an error predictor to determine the best method. The calculation results using the Kalman Filter method with SSMs produce a smaller VOC value than the CL method, proving that the Kalman Filter method with SSMs is better than CL.
A Semi Analytical Approach to the Solution of Telegraph Equations Kasumo, Christian
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.37695

Abstract

In this paper, we apply the semi analytic iterative method to find approximate solutions of telegraph equations. To determine the accuracy and effectiveness of the method, five numerical examples are given and the results obtained are close to the exact solution. Furthermore, the absolute errors produced by our method are closer to zero than those from the other methods used in the literature. The computational simplicity, efficiency, precision and reliability of the semi analytic iterative method has been verified, making it the method of choice for solving a broad variety of linear and nonlinear partial differential equations.
SEIHR-SEI Mathematical Model of Zika Virus Transmission with Vector Control Shiddiqie, Ichwal Afrizan; Khumaeroh, Mia Siti; Zulkarnaen, Diny; Diana, Arista Fitri
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.30948

Abstract

Zika virus (ZIKV) is transmitted by Aedes Aegypti mosquito, which is recognized as a vector for viruses causing dengue fever and chikungunya. This study uses SEIHR‐SEI mathematical model to analyze the dynamics of Zika virus transmission. In this model, human population (host) is classified into five compartments: Susceptible Humans (Sh), Exposed Humans (Eh), Infected Humans (Ih), Hospitalized Humans (Hh) and Recovered Humans (Rh). Meanwhile, the mosquito population (vector) is divide into three compartments: Susceptible Vectors (Sv), Exposed Vectors (Ev), and Infected Vectors (Iv). Stability analysis is conducted using Routh‐Hurwitz criteria for assessing local stability and Lyapunov function for evaluating global stability. Moreover, Basic Reproduction Number (R0), which represents the average number of new infections produced by one infected individual in a susceptible population, is derived by using the Next Generation Matrix (NGM) method. The result shows that the equilibrium point for disease‐free conditions is globally asymptotic stable when R0 < 1, meanwhile the equilibrium point for endemic conditions is stable when R0 > 1. The simulation result using endemic data and sensitivity analysis of three parameters, including contact rate between susceptible humans and infected humans (c), hospitalization rate of infected individuals (τ ), and mosquito control rate (ω), reveals that c and ω exert a more significant effect on changes in R0 compared to τ . Therefore, minimizing contact with infected individuals or implementing vector control is more effective than isolating or hospitalizing infected patients.
Peramalan Menggunakan Model Holt-Winters Exponential Smoothing Multiplikatif dengan Optimasi Parameter Menggunakan Particle Swarm Optimization (PSO) Martina, Annisa; Dewi, Apianti Setia; Awalluddin, Asep Solih
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.31368

Abstract

Peramalan merupakan suatu metode yang digunakan untuk memprediksi kejadian di masa yang akan datang berdasarkan pada sekumpulan data historis. Adanya pola trend dan musiman multiplikatif pada suatu data memerlukan metode peramalan yang sesuai agar peramalan yang dilakukan dapat memberikan hasil yang baik. Model Holt-Winters Exponential Smoothing Multiplikatif merupakan salah satu yang dapat mengatasi data dengan pola tersebut. Pada Holt-Winters Exponential Smoothing Multiplikatif terdapat nilai parameter pemulusan yang biasanya diperoleh dengan menggunakan trial and error. Namun, metode trial and error dirasa kurang efektif karena akan ada banyak kombinasi parameter pemulusan yang mungkin memberikan hasil peramalan optimal. Oleh karena itu, metode Particle Swarm Optimization digunakan untuk mengoptimasi parameter pemulusan Holt-Winters Exponential Smoothing Multiplikatif dengan nilai MAPE sebagai nilai akurasi peramalan. Dari hasil simulasi yang dilakukan diperoleh bahwa metode Particle Swarm Optimization memiliki kinerja yang baik dalam memperoleh nilai parameter pemulusan Holt-Winters Exponential Smoothing Multiplikatif dalam meramalkan data jumlah kunjungan wisatawan mancanegara ke Indonesia.
Penerapan Dragonfly Optimization Algorithm (DOA) untuk Menyelesaikan Fixed Charge Transportation Problem (FCTP) Paojiyah, Ai Nuri Siti; Az'zahra, Aliffia Putri; Aulia, Viananda Farisqa; Wulan, Elis Ratna
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.35962

Abstract

Transportasi berperan penting dalam kegiatan sehari-hari terutama di dunia industri modern untuk pendistribusian barang atau jasa. Faktor yang mempengaruhi transportasi adalah biaya transportasi, salah satunya biaya tetap. Artikel ini menyelesaikan masalah transportasi biaya tetap atau Fixed Charge Transportation Problem (FCTP) dengan mengimplementasikan Dragonfly Optimization Algorithm (DOA) atau algoritma capung. Metode algoritma capung terinspirasi oleh kecerdasan atau perilaku hidup capung dalam mengetahui jalur optimal untuk mencapai tujuan yang diinginkan. Tujuan dari artikel ini adalah untuk menganalisis tahapan-tahapan pengerjaan algoritma capung berdasarkan masalah transportasi biaya tetap agar dapat meminimalkan biaya transportasi dalam pendistribusian barang. Penelitian dengan menggunakan systematic literature review menghasilkan langkah-langkah algoritma capung untuk FCTP adalah inisialisasi, evaluasi kebugaran populasi awal, menentukan jumlah iterasi maksimum, distribusi solusi ke lingkungan sekitar, menentukan sumber makanan dan musuhnya, solusi terbaik di setiap lingkungan, menjalankan operasi algoritma capung, ulangi hingga jumlah iterasi maksimum terpenuhi, dan kembali ke rencana transportasi optimal.
Investigating Employment Delays: A Multiple Classification Analysis of Job Search Duration among Graduates in Islamic Community Development Afifah, Puspa Nur; Rahmadhani, Nadya; Rifqi, Syehabu
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.36256

Abstract

Indonesia is facing big challenges: an overabundance of graduates and limited job prospects. In February 2022, the central statistics agency provided a clear picture, more than 13 million people have a bachelor's degree in Indonesia and the number of unemployed is 8.4 million people. Banten Province is ranked first in the unemployment rate in Indonesia, namely 8.53%. The aim of this research is to determine the factors that influence the length of job search for graduates of the Islamic Community Development Program at UIN Sultan Maulana Hasanuddin Banten. The analytical method used is Multiple Classification Analysis (MCA), this research investigates the influence of variables, such as gender, length of study, GPA, organizational experience, academic achievement, work experience, employment sector, and foreign language proficiency. The research results show that there is a significant relationship between length of study, GPA, work experience, and length of job search. The ANOVA test shows that these three variables have a low significance level (
On the Forgotten Index and Jacobson Graphs Associated with Integer Rings Modulo n Jauhari, Mohammad Nafie; Jannah, Shahnaz Latifatul; Turmudi, Turmudi; Nisfulaila, Intan
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.39585

Abstract

This paper investigates the connections between the Jacobson graph and the algebraic properties of rings through the analysis of the Jacobson graph of the ring \mathbb{Z}_{3p}, where p is a prime number greater than 3. The Jacobson graph of a commutative ring R is constructed by taking the elements of R, excluding its Jacobson Radical, as vertices, and connecting two distinct vertices if 1 minus their product is not a unit in R. The F-Index is utilized to capture and represent the structural properties of the ring through its associated graph. A detailed examination of the Jacobson Radical, maximal ideals, and vertex degrees in \mathbb{Z}_{3p} leads to the calculation of the F-Index, providing insights into the graph’s connectivity and underlying algebraic structure. This study contributes to the intersection of algebra and graph theory, offering a foundation for further research into more complex algebraic structures.

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