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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 88 Documents
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Kestabilan Titik Ekuilibrium Endemik Pada Model SIS Transmisi Human Papillomavirus (HPV) Dengan Populasi Berbeda Suryadi Harto Pratama; Irma Suryani; Wartono Wartono
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.v6i1.9189

Abstract

Paper ini membahas model matematika tentang kestabilan titik ekuilibrium endemik terhadap Human Papillomavirus (HPV) pada model SIS dengan populasi berbeda. Model SIS Terdiri dari dua kompartemen, yaitu kompartemen rentan (Susceptible) dan kompartemen yang terinfeksi (Infected) dengan populasi yaitu subpopulasi perempuan  dan subpopulasi laki-laki . Titik ekuilibrium endemik pada model SIS ini dapat dilakukan dengan melakukan substitusi atau manipulasi aljabar terhadap asumsi-asumsi pada model SIS Human Papillomavirus (HPV). Selanjutnya, kestabilan endemik dinyatakan stabil asimtotik dapat di uji menggunakan matriks Jacobian dengan syarat  terpenuhi. Kemudian, model SIS Human Papillomavirus (HPV) dianalisis dengan simulasi numerik dengan hasil kestabilan titik ekuilibrium endemik itu stabil asimtotik jika . Dan ini menjelaskan bahwa subpopulasi terinfeksi akan memungkinkan menginfeksi atau menularkan virus kepada subpopulasi  rentan. Artinya virus masih ada dalam populasi.
Penyelesaian Goal Programming menggunakan Metode Simpleks Direvisi dalam Memaksimalkan Keuntungan pada Home Industri Upik Padang Panjang, Sumatera Barat Elfira Safitri; Sri Basriati; Syafrika Yuliarti; Muhammad Soleh; Ade Novia Rahma
KUBIK Vol 6, No 2 (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.v6i2.10908

Abstract

Upik Home Industry is one of the businesses engaged in the chips industry. Problems in Upik Home Industry that are often faced in decision making are problems that contain several goals in it. To overcome these problems, the Goal Programming approach is used. Goal Programming is an extension of linear programming which is used to solve linear equations with more than one objective function. The purpose of this study was to determine the completion of Goal Programming using the revised simplex method in maximizing profits at Upik Home Industry Padang Panjang, West Sumatra. The method used in this study is the revised simplex method. The revised simplex method uses an inverse basis to perform calculations in determining the incoming and outgoing variables. Based on the results of research, the goal is to minimize working times, minimize raw materials for cassava, oil, salt and maximize sales quotas for sanjai balado and is not  achieved. And goals for maximizing profit,  goals for minimizing raw material for garlic and minimizing the sales quota for sanjai original, sanjai kunyit dan tusuk gigi  is achieved. So that the total production for original sanjai ( as much 30,67 kg, sanjai kunyit ( as much 18 kg and tusuk gigi ( as much 18 kg.Keywords: Goal Programming, Home industry, Revised Simplex.
Model Tingkat Kemiskinan di Kabupaten/Kota Provinsi Riau: Menggunakan Regresi Data Panel Rahmadeni Rahmadeni; Nurjannah Nurjannah
KUBIK Vol 6, No 2 (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.v6i2.13598

Abstract

The purpose of this study is to model the poverty rate in the districts/cities of Riau province in 2015-2019. In this study, the panel data regression method was used to model the poverty level in the districts/cities of Riau province. There are three approaches to predict panel data regression, those are the common effect model (CEM), the  fixed effect model (FEM), and the random effect model (REM). The test results show that the problem of poverty levels in the districts/cities of Riau province in 2015-2019 is more accurately modeled with the fixed effect model (FEM) approach. From the FEM model formed, the effect of the poverty rate in the district/city of Riau province is caused by the average length of schooling of 12.136671 and economic growth of 0.304306 with the coefficient of determination (Adjusted R-square) reaching 98.62%. 
Deteksi Peluang Gagal Bayar Calon Debitur Menggunakan Algoritma Particle Swarm Optimization (PSO) untuk Meningkatkan Kinerja Manajemen Risiko pada Koperasi Simpan Pinjam ABC Susan Purnama; Aninditha Putri Kusumawardhani
KUBIK Vol 6, No 2 (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.v6i2.13835

Abstract

Savings and Loan Cooperatives (KSP) are financial institutions that have an important role in economic and trade activities, useful for channeling funds in the form of loans to members who need them for business or business. In this paper, we examine the detection of potential debtors' default opportunities using the Particle Swarm Optimization (PSO) algorithm in a logistic regression model. In the analysis method, there are several steps: (1) standardizing the data on the risk factor data of prospective debtors, (2) determining the assumptions of the logistic regression model, (3) estimating the parameters of the logistic regression model using the Particle Swarm Optimization (PSO) algorithm, and (4 ) to test the significance of each variable. The probability of default is determined using the eligibility parameters of the prospective debtor based on past data variables owned by KSP "ABC" in Bandung, Indonesia. The results show that of the eight factors analyzed, there are six factors that have a significant influence on the risk of default, namely the age of the debtor, the number of family dependents, the amount of savings, the amount of collateral, the amount of credit, the credit period with an accuracy of 99.1%. Based on these six factors, a logistic regression model estimator is obtained that can be used to determine the probability of default from prospective debtors. This probability of default is very useful for KSP "ABC" to make a decision on whether or not to give credit, so that the performance of problem loan risk management can be guaranteed.
Analisis Pengukuran Produk HKZL PT.Gradien Manufaktur Indonesia Menggunakan Multivariat Gage, Repeatability and Reproducibility (GRR) Melalui Analisis Faktor Selvi Marcelina; Asep Solih Awalluddin; Arief Fathcul Huda; Rismawati Ramdani; Esih Sukaesih
KUBIK Vol 6, No 2 (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.v6i2.14555

Abstract

Measurement data is often used in determining the quality of a product. Some of the results in measurement present multivariate properties, meaning that there are many characteristics of quality. Many variables are measured to be used as a reference in improving product quality on the company's predetermined standards. But in reality, there are variations in the size or size of products that do not meet the standard of measurement used by the company. In this case, the correlation structure between quality characteristics is often overlooked. Variables that correlate in a group, but with relatively small correlations between other groups are more suitable tasks for factor analysis. Therefore, to solve The purpose of multivariate GRR through factor analysis is to identify the covariance structure between several quality characteristics in improving product quality using multivariate Gage, Repeatability and Reproducibility (GRR) through factor analysis, and find out if the HKZL product measurement system is in PT. Indonesia's Manufacturing Gradient is accepted or does not use the multivariate Gage, Repeatability and Reproducibility (GRR) method through factor analysis. In practice, the analysis step has been prepared and applied to the measurement of HKZL products in PT. Indonesian Manufacturing Gradient. The results were obtained from the measurement system on HKZL products in PT. The Indonesian Manufacturing Gradient is not accepted, meaning that the resulting product is HKZL has quality beyond the company's standards (quality standards), so it can be concluded that the HKZL product making machine is in poor condition to use.
Pengelompokan Kabupaten/Kota Berdasarkan Produksi Tanaman Pangan Sumatera Utara Tahun 2020 Menggunakan Pengelompokan Hirarki Aglomeratif Afdhah Nur Riadhoh; Galuh Eka Puspita; Inas Rafidah; Edy Widodo
KUBIK Vol 6, No 2 (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.v6i2.16157

Abstract

Food plants are one of the basic needs of humans as a source of energy because they contain carbohydrates and proteins that are important for the human body. North Sumatra is one of the provinces in Indonesia, known for high potential in the agricultural sector, such as food crops. However, each district/city has a very diverse amount of food crop production in North Sumatra, so it is necessary to grouping in districts/cities based on the high and low of food crop production commodities in North Sumatra  with the aim of assisting government in improving and optimizing government programs that engaged in agriculture. The grouping used agglomerative hierarchical cluster analysis methods, namely single linkage, average linkage, complete linkage, ward's, and centroid methods. Based on the highest cophenetic correlation value (close to 1), it was found that average linkage was the best cluster method. The results of this study that North Sumatra Province is divided into 4 clusters, consisting of regencies/cities, which can be seen from each food crop production in the very high category, the production of food crops in the high category, the production of food crops in the low category, and the production of food crops in the very low category.
Analisis Sensitivitas dan Kestabilan Global Model Pengendalian Tuberkulosis dengan Vaksinasi, Latensi dan Perawatan Infeksi Della Isna Amatillah; Fadilah Ilahi; Mia Siti Khumaeroh
KUBIK Vol 6, No 2 (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.v6i2.14938

Abstract

Tuberculosis is an infectious disease caused by the bacterium Mycobacterium tuberculosis which attacks the lungs. Tuberculosis or TB is one of the diseases with the highest mortality rate in the world. In this article, we will examine the sensitivity and global stability analysis of the tuberculosis control model with vaccination, latency and infection treatment. In this model, the population is divided into 5 compartments, namely the immunized population (M), susceptible population (S), infected population with latent TB (L), infected population with active TB (I) and the recovered population (R).  The equilibrium point, local and global stability, basic reproduction number R0 is analyzed along with sensitivity analysis to see the effect of parameter values on the basic reproduction number R0. From the analysis and simulation result, it is found that there are two parameters that have the most influence on the spread of tuberculosis, namely the recovery rate of latent TB and the infection rate of active TB. If the recovery rate of latent TB is higher than the infection rate of active TB infection, then the disease will gradually disappear from the population, whereas if the recovery rate of latent TB is lower than the infection rate of active TB, the disease will spread within the population.
Distribution Based Fuzzy Time Series Markov Chain Models for forecasting Inflation in Bandung Salsabila Ayu Pratiwi; Dewi Rachmatin; Rini Marwati
KUBIK Vol 7, No 1 (2022): 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.v7i1.18156

Abstract

This study discusses the application of the Fuzzy Time Series Markov Chain method which was developed by determining the length of the interval using the distribution method. In the fuzzy forecasting method, the determination of the length of the interval is an important thing that will affect the accuracy of the forecasting results. The development of this forecasting model aims to get better forecasting accuracy results. In this study, general inflation data for the city of Bandung is used for the period January 2016 – June 2021. The data is divided into two groups, namely in sample data and out sample data with a ratio of 90: 10. In the data processing process, the Python programming language is used. Based on the accuracy test using the MAPE method, it can be concluded that this method provides better forecasting results with a MAPE value of 1.16%.
The Optimization Problem of Batik Cloth Production with Fuzzy Multi-Objective Linear Programming and Application of Branch and Bound Method Fevi Hanesti; Wardi Syafmen; Syamsyida Rozi
KUBIK Vol 7, No 1 (2022): 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.v7i1.18432

Abstract

This study discussed fuzzy multi-objective linear programming (FMOLP) and its application. This research was conducted in Rumah Batik Mentari Jambi, which produces five batik motifs typical of the Jambi. In this research, the tolerance for additional raw material capacity is included in the model. This research aims to find out the number of tolerances needed, the maximum number of batik needed to be produced, and the minimum production time so that the producer can earn the maximum profit. The decision variables in FMOLP are the number of pieces of batik measuring in 2m2, which means the decision variables must be an integer. Therefore, after obtaining the optimal solution from FMOLP, then proceed with the branch and bound method to obtain the integer solution. The result of this research is that the addition of raw materials needed to earn optimal solutions is as much as 50% of the tolerance assumed in the model. Thus, owner can earn the optimal profit of Rp. 5,675,800.00/week by producing as many as 67 pieces of batik with the design of angso duo, 18 pieces with the design of gentala, and 50 pieces with the design of batang hari, and the minimum production time is 270 hours/week.
Algoritma Super Enkripsi (Affine Cipher dan Cipher Transposisi Grup Simetri) untuk Mengamankan Pesan Teks Ilfi Nur Diana
KUBIK Vol 7, No 1 (2022): 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.v7i1.17419

Abstract

Kriptografi adalah ilmu yang mempelajari teknik-teknik matematika yang berhubungan dengan aspek keamanan informasi. Metode kriptografi yang digunakan untuk mengamankan pesan diantaranya adalah affine cipher dan cipher transposisi grup simetri. Affine cipher merupakan salah satu algoritma kriptografi klasik yang menggunakan metode substitusi. Modifikasi Affine Cipher membagi teks terlebih dahulu menjadi kelompok yang terdiri dari  karakter lalu kemudian menggunakan Affine Cipher. Cipher transposisi grup simetri merupakan salah satu algoritma kriptografi klasik yang menggunakan metode transposisi. Cipher transposisi grup simetri menggunakan grup simetri- sebagai kunci rahasia. Semakin besar nilai  akan semakin banyak pula kemungkinan kunci dari cipher transposisi grup simetri.  Metode substitusi dan transposisi memiliki tingkat keamanan yang cenderung lebih rendah. Untuk meningkatkan keamanan penyandian pesan maka dilakukan penggabungan algoritma cipher substitusi dan cipher transposisi yang disebut super enkripsi. Pada penelitian ini dilakukan penggabungan algoritma affine cipher dan cipher transposisi grup simetri, serta modifikasi affine cipher dan cipher transposisi grup simetri.

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