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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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Inverse Matrix RSLPFLcircfr (0,1/b,0) of Order 3×3 to the Power of Positive Integer Using Adjoin Method Rahma, Ade Novia; Wulanda, Velyn; Rahmawati, Rahmawati; Marzuki, Corry Corazon
KUBIK Vol 8, No 2 (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.v8i2.25517

Abstract

The matrix RSLPFLcircfr  is a particular form of the circular matrix RSLPFLcircfr . This study aims to determine the general form of the inverse matrix RSLPFLcircfr  to the power of positive integers. This research begins by determining the general form of the power of the matrix RSLPFLcircfr  which is then proven by using mathematical induction. Next, predicting the determinant of the power of the matrix RSLPFLcircfr which is then continued by proving the form generalization of the determinant of the power of the matrix RSLPFLcircfr by direct proof using cofactor expansion. Furthermore, by determining the cofactor matrix of the power of the matrix RSLPFLcircfr  we will obtain the inverse of the matrix to the power of the matrix RSLPFLcircfr  using the adjoin method.
Vertex Labeled Energy of Edge-Removed Complete Graphs Nursyahida, Salwa; Rana, Salsabiil; Sukaesih, Esih
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.v8i1.30073

Abstract

Suppose Γ is vertex labeled graph by its degree. The (i,j)-th entry of vertex labeled matrix of Γ is label sum of different vertices v_i  and v_j  if there are paths between them, and 0 otherwise. Vertex labeled energy of Γ is absolute sum of its vertex labeled matrix eigenvalues. In this paper, we provide value of vertex labeled energy of edge-removed complete graph.
Penentuan Solusi Optimal Pemrograman Kuadratik Menggunakan Metode Beale (Studi Kasus: Produksi Padi Kalimantan Barat) Robiah, Rina; Kiftiah, Mariatul; Pasaribu, Meliana
KUBIK Vol 8, No 2 (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.v8i2.29213

Abstract

Rice production in an area is influenced by the area of rice harvesting land. BPS data shows that in 2019-2021 there was a decrease in rice production in West Kalimantan due to a decrease in rice harvest areas. Therefore, optimal utilization of harvested area is needed to obtain maximum average rice production. One method to determine the optimal solution of a quadratic programming problem is the Beale method. In this research, the problem of rice production is formulated into a mathematical model. Furthermore, a quadratic objective function is formed which is a concave function by solving linear equations through a matrix approach. The selected function is solved using the Beale method. The Beale method begins by expressing the base variable into a non-base variable in each iteration process. The optimal solution of the Beale method is obtained when the evaluation value of all partial derivatives of the objective function is less than equal to zero. Based on the research results, the rice harvest area of Mempawah, Sintang, Kapuas Hulu, and Kubu Raya districts were 17,799.53424 ha, 16,364.0143 ha, 6,105.685658 ha, and 32,959.2823 ha, respectively, so that the average maximum rice production was 127.6827216 kw/ha.
Optimasi Biaya Pemupukan Tanaman Padi pada Kelompok Tani Rambahan Sakato, Desa Nyiur Melambai Pelangai menggunakan Metode Kuhn Tucker Safitri, Elfira; Basriati, Sri; Soleh, Mohammad; Yulanda, Rahmi
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.v8i1.18261

Abstract

The Rambahan Sakato Farmer Group, Nyiur Melambai Pelangai Village, West Sumatra is a farmer groups that produces various types of food, one of which is rice plants. One of the factors that support plants to grow optimally is the availabity of nutrients in sufficient quantities in the soil. There are four types of fertilizers used in the fertilization of rice plants, namely SP-36 fertilizer, Urea fertilizer, Phonska fertilizer and KCL fertilizer. This study aims to optimal solution in determining in amount of fertilizer in rice plants with the minimum cost using the Kuhn Tucker Method. The method used in this research is the Kuhn Tucker method. The solution to the Kuhn-Tucker method is the same as the Lagrange method, namely calculating the value (x, λ, S) and calculating the value of f (x). The process of finding values (x, λ, S) uses matrix multiplication. Based on the research results, it was found that the Rambahan Sakato farmer group needed to provide 1 sack of SP-36 fertilizer, 3 sacks of urea fertilizer, 16 sacks of Phonska fertilizer and did not need to provide KCL fertilizer at a minimum cost of Rp. 2,710,000.
Pelabelan Fibonacci Prima Ke-k Pada Graf H dan Graf Ulat H_n Sari, Nyemas Yupika; Noviani, Evi; Fran, Fransiskus
KUBIK Vol 8, No 2 (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.v8i2.29290

Abstract

Artikel ini membahas tentang pelabelan Fibonacci prima ke-k pada sebuah graf sederhana G dengan himpunan simpul V(G) dan himpunan sisi E(G). Suatu graf G adalah graf Fibonacci prima ke-k jika terdapat pemetaan injektif f:V(G)→{F_k,F_(k+1),…,F_(k+n-1)} yang memetakan himpunan simpul V(G) ke himpunan bagian bilangan Fibonacci {F_k,F_(k+1),…,F_(k+n-1)}. F_k  merupakan bilangan Fibonacci yang berada pada urutan ke-k dimana k≤n dan k,n∈N. Untuk setiap sisi uv∈E(G) dengan u,v∈V(G)  berlaku f^* (uv)=gcd⁡(f(u),f(v))=1 dengan f^*:E(G)→N. Graf yang digunakan dalam penelitian ini adalah graf H dengan orde lebih besar atau sama dengan tiga dan graf ulat H_n  dengan orde lebih besar atau sama dengan dua. Penelitian ini bertujuan untuk mengkontruksi pelabelan Fibonacci prima ke-k pada graf H dan graf ulat H_n  serta membuktikan bahwa graf tersebut adalah graf Fibonacci prima ke-k.
Quadratic Spline and Heligman-Pollard Methods in The Preparation of Life Tables in Gegelang Village West Lombok Fauzi, Andri Azmul; Anggraeni, Dara Puspita; Ridwan, Lalu Muhammad
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.v8i1.24809

Abstract

In this paper, we conduct research by compiling an abridged life table using the graduation method based on real data obtained at Gegelang Village, West Lombok. The graduation methods used in this study included quadratic spline and Heligman-Pollard. Based on the results, a special case of A was chosen as a method used to make a rough life table before graduation. After the graduation process, it was found that the Heligman-Pollard method was the most suitable. This is based on the chart produced using this method, which is monotonous in nature and does not fluctuate like other graduation methods. In addition, the life expectancy obtained at 65.72 years is close to West Lombok's life expectancy based on 2015.
Optimasi Penugasan Mekanik Menggunakan Metode Hungarian pada Dealer AUTO 2000 di Kota Padang Winanda, Rara Sandhy; Defitri, Fanessa Elrika; Rahmawati, Rahmawati
KUBIK Vol 8, No 2 (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.v8i2.29196

Abstract

Efficient placement of mechanics at Auto 2000 Dealer in Padang City has a significant impact on the productivity and profitability of the company. In this study, we propose the implementation of the Hungarian Method as an optimization tool to determine the optimal assignment of mechanics. The study involves five variables that, respectively, represent the availability of mechanics and various types of serviced vehicles. The goal is to minimize service time in order to optimize the number of vehicles that can be serviced per month. In this research, we utilize historical data that is collected from Auto 2000 dealers to analyze the performance of mechanic placement. The results show that by implementing optimal mechanic assignments using the Hungarian Method, the company can improve efficiency of service time as well as increase the number of vehicle units to be serviced per month to 1.957 units.
Ekstraksi Topik Pantun di Twitter Menggunakan K-Means Clustering Ulinnuha, Nurissaidah; Indriyani, Jiphie Gilia
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.v8i1.29191

Abstract

Pantun is an old form of poetry in Indonesia. Over time, the anxiety of the existence of rhymes in society has become the anxiety of literary, language and cultural activists. This study aims to explore the existence of the use of rhymes on social media which was highly encouraged by young people in the era of Society 5.0. There are two types of rhymes studied, namely general and islamic rhymes. The method used is K-Means clustering analysis to find rhyme topics that are often used in social media. The general category of pantun cluster structure belongs to the weak structure because the silhouette coefficient values are in the range of 0.26-0.5 while the Islamic pantun group structure belongs to the good too strong structure because the silhouette coefficient values are in the range of 0.4-0.9. It was found that the general category of rhymes were still widely used on social media with the type of theme being youth rhymes. The purpose of using the rhyme is more dominant to express feelings. On the other hand, the islamic category of rhymes is rarely used on social media with the type of theme being parental rhymes. The purpose of using the rhyme is more dominant to religious symbols.
Peramalan Menggunakan Metode MS-AR, MS-Regression dan MS-VAR pada Model Perubahan Struktur Martina, Annisa; Jajuli, Marsa Aufa; Cahyandari, Rini
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.v9i1.31371

Abstract

Aktivitas ekspor dan impor memiliki peranan penting pada perdagangan internasional yang dapat meningkatkan pembangunan ekonomi di dalam negeri. Ekspor di Indonesia terdiri dari dua sektor yaitu migas dan non migas. Adanya perubahan regime dalam data migas menyebabkan volume ekspor cenderung fluktuatif dan memiliki perubahan struktur. Model perubahan struktur dapat diselesaikan dengan menggunakan metode Markov Switching (MS) yang terdiri dari MS Autoregressive, MS Regression dan MS Vector Autoregressive. Pada penelitian ini menggunakan data bulanan volume ekspor migas Indonesia selama 5 tahun (2018 sd 2022). Hasil penelitian menunjukkan bahwa terjadi perubahan struktur pada waktu ke-12 (Desember 2018) dengan 2 regime. Setelah dilakukan pemodelan dan uji diagnostik, didapatkan model terbaik untuk volume ekspor migas Indonesia adalah MS(2) menggunakan metode MS Regression dengan nilai MAPE 12.49% dan nilai peluang perpindahan regime 94%, yang menyatakan bahwa ekspor migas yang dilakukan oleh negara Indonesia memberikan dampak yang cukup baik untuk perekonomian Indonesia, terutama dalam hal perdagangan internasional.
Syarat Regularitas dan Eulerian Graf Unit dari Ring Z_n Kurniawan, Vika Yugi; Nisa, Lailatul Chairul
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.v9i1.33693

Abstract

Let be a ring of integers modulo and denote the set of all unit elements of the ring. The unit graph of which is denoted by is a simple graph, where the vertices of are all elements of, where two different vertices and are connected by an edge if and only if is the unit of. In this article, we will examine the properties of the unit graph of the ring. The results of this study show that is an Euler graph if where is even, and is a regular graph if is even.

Page 9 of 16 | Total Record : 157

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