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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 157 Documents
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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.
Optimization of Multi-Product Distribution with Modification of The Modified Exponential Approach Method Pajriah, Dwi; Pasaribu, Meliana; Kiftiah, Mariatul
KUBIK Vol 10 No 1 (2025): IN PRESS
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

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

Abstract

In the distribution of several different products, there is a condition where product allocation is not appropriate or there is a multi-product transportation problem. As a result, it is necessary to analyze the appropriate product allocation with minimum shipping costs. In solving this problem, a multi- product transportation problem model and modification of the Modified Exponential Approach method are proposed to obtain an allocation for each product with minimum shipping costs. In the case of the distribution of sweet snack products and spicy/salty snacks at the MSME Giu Store. Delivery is carried out using delivery services (J&T Express, Surya Cargo) and private delivery. Therefore, this problem is a form of transshipment problem. This problem is transformed into a multi-product transportation problem and solved by modifying the Modified Exponential Approach method. The calculation results show that private delivery is inefficient. It is recommended that products be distributed by J&T Express with delivery to the Sambas, Sekadau, and Sintang areas. Surya Cargo delivers to the Sanggau, Mempawah, and Singkawang areas. With this allocation, a minimum distribution cost of Rp 1,378,398 is obtained.
Implementation of BiLSTM to Predict World Crude Oil Prices Sari, Firda Yunita; Ulinnuha, Nurissaidah
KUBIK Vol 10 No 1 (2025): IN PRESS
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

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

Abstract

The main source of energy worldwide is crude oil, which is used by almost all countries as an energy source. Crude oil plays a key role in driving the global economy, especially in the industrial and transportation sectors. Along with technological developments, crude oil price predictions can be made more sophisticated using artificial intelligence-based methods, one of which is the Bidirectional Long Short-Term Memory (BiLSTM) method which is a development of the Long Short-Term Memory (LSTM) method by combining past and future information when processing sequential data, BiLSTM uses forward and backward LSTM simultaneously to increase accuracy. The study used world crude oil price data for 1 year. There are 57 tests with several parameters such as data division, number of neurons, batch size, and activation function. After testing with the BiLSTM method for 57 scenarios, there is the smallest MAPE value of 0.09% at a data division of 90:10, number of neurons 100, batch size of value 4, and ReLu activation function. The resulting prediction model is highly accurate based on the MAPE criterion value.
Penyelesaian Masalah Transportasi Untuk Mencari Solusi Optimal Dengan Pendekatan Minimum Spanning Tree (Mst) Menggunakan Algoritma Kruskal Dan Algoritma Prim Dili, Yusufiani Nurlinawati; Wulan, Elis Ratna; Ilahi, Fadilah
KUBIK Vol 6 No 1 (2021): 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.v6i1.13907

Abstract

Penelitian ini membahas tentang penyelesaian masalah transportasi dengan pendekatan Minimum Spanning Tree (MST) menggunakan algoritma Kruskal dan algoritma Prim untuk mencari solusi optimal. Algoritma Kruskal dan algoritma Prim merupakan algoritma dalam teori graf untuk mencari Minimum Spanning Tree (MST). Langkah algoritma Kruskal yaitu mengurutkan biaya dari yang terkecil hingga terbesar. Selanjutnya, pilih biaya yang paling terkecil. Kemudian, lakukan perhitungan dengan melihat sumber persediaan dan permintaan di setiap tujuan sampai semuanya terpenuhi, sehingga terlihat bentuk Minimum Spanning Tree (MST) dari algoritma Kruskal. Sedangkan langkah algoritma Prim yaitu dengan memilih sembarang titik atau sumber. Selanjutnya, pilih active edge dengan biaya terkecil. Kemudian, lakukan perhitungan dengan melihat sumber persediaan dan permintaan di setiap tujuan sampai semuanya terpenuhi, sehingga terlihat bentuk Minimum Spanning Tree (MST) dari algoritma Prim. Bentuk dari Minimum Spanning Tree (MST) menghasilkan solusi yang optimal. Dari hasil penelitian ini, pendekatan Minimum Spanning Tree (MST) dengan algoritma Prim yang lebih unggul. 
Penerapan Perangkat Lunak RStudio untuk Penaksiran Parameter Model Spatial Autoregressive Salsabil, Tsuroyya; Kusuma, Dianne Amor; Ruchjana, Budi Nurani
KUBIK Vol 8 No 1 (2023): 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.v8i1.30037

Abstract

Research and analysis that are not only based on time (temporal) but also on space (spatial) require tools in the form of software to ensure that the data analysis and processing yield good, fast, and accurate results. One of the software tools that can be used for this purpose is RStudio software. The advantages of RStudio include being open-source software (OSS), which can be used freely without cost, and it has many packages and functions that can facilitate data processing. One of the spatial-based analyses is spatial data analysis. The structure within RStudio allows users to call functions related to spatial data analysis, perform computations with sparse matrices (matrices with many zero values), such as spatial weight matrices, estimation of spatial model parameters, and so on. This research examines the application of RStudio software in estimating the parameters of a first-order Spatial Autoregressive (SAR) model using the Maximum Likelihood Estimation (MLE) method on the data of the designation of Intangible Cultural Heritage (ICH) in Indonesia. Based on the results of applying RStudio software, a first-order SAR model with a Queen contiguity weight matrix for the categories of Traditional Customs, Rituals, and Celebrations (TCRC) and Performing Arts (PA) with the minimum Akaike Information Criterion (AIC) value and maximum pseudo- value was obtained for predicting the designation data of ICH in Indonesia. The application of RStudio software to the first-order SAR model for the designation data of ICH in Indonesia speeds up and simplifies calculations, making it suitable as a recommendation for relevant agencies such as the Department of Culture, Tourism, Youth, and Sports (Disbudparpora). 
Bilangan Rainbow Connection Pada Graf Buku Medika, Gema Hista; Tomi, Zebbil Billian; Wulan, Elis Ratna
KUBIK Vol 9 No 1 (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.v9i1.30406

Abstract

Penelitian ini berfokus pada penentuan bilangan rainbow connection pada graf buku, terutama graf buku dengan bentuk segitiga, segi empat, serta segi lima. Graf buku segitiga, disimbolkan sebagai BT_n, dihasilkan dari penggabungan sisi pada graf lingkaran C_3. Graf buku segi empat, disimbolkan sebagai BE_n, dihasilkan dari penggabungan sisi pada graf lingkaran C_4. Sedangkan graf buku segi lima, disimbolkan sebagai BL_n, dihasilkan dari penggabungan sisi pada graf lingkaran C_5. Bilangan rainbow connection pada sebuah graf terhubung G ditulis rc(G), yang didefinisikan sebagai jumlah warna minimum yang dibutuhkan untuk menjadikan graf G menjadi terhubung secara rainbow. Penelitian ini merupakan penelitian deskriptif kualitatif, melalui teknik studi pustaka dan analisis data non-statistik. Adapun hasil penelitian menyatakan bahwa bilangan rainbow connection pada Graf Buku Segitiga yaitu 1 jika n=1, 2 jika n=2, dan 3 untuk n≥3. Bilangan rainbow connection pada Graf Buku Segi Empat adalah 2 jika n=1, 3 jika n=2, dan 4 untuk n≥3. Sedangkan bilangan rainbow connection pada Graf Buku Segi Lima yaitu 3 jika n=1, 4 jika n=2, dan 6 untuk n≥3.

Page 13 of 16 | Total Record : 157

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