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Fahrudin Muhtarulloh
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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 9 Documents
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Search results for , issue "Vol 8, No 2 (2023): KUBIK: Jurnal Publikasi Ilmiah Matematika" : 9 Documents clear
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.
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.
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.
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.
Kaitan Ruang Vektor Matriks V_n dan C_n Putri, Inne Syafrian; Anindya, Alfina Rifda; Sukaesih, Esih
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.v8i2.30415

Abstract

V_n  didefinisikan sebagai himpunan matriks n×n  dengan sifat penjumlahan silang. Himpunan V_n  membentuk subruang dari ruang vektor R^(n×n)  dengan karakteristik tertentu. Selanjutnya terdapat himpunan matriks co-latin C_n  yang didefinisikan menggunakan matriks latin, yaitu matriks n×n dengan elemen {1,2,…,n}  yang muncul tepat satu kali pada setiap baris dan kolom.  Dalam artikel ini dikaji keterkaitan antara ruang vektor V_n  dan C_n  untuk menjawab permasalahan bagaimana memperoleh matriks dengan sifat penjumlahan silang dengan mudah.
KETERHUBUNGAN GRAF PEMBAGI TAK NOL DARI RING Putri, Oktaviana; Kurniawan, Vika Yugi
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.v8i2.29705

Abstract

Misalkan R adalah suatu ring. Graf pembagi tak nol dari R yang dinotasikan dengan Q(R) merupakan graf sederhana yang himpunan vertex-nya adalah V(Q(R))=R\{0,1,-1} dimana dua vertex berbeda x akan y adjacent jika dan hanya jika xy tak nol atau yx tak nol. Penelitian ini bertujuan untuk mengkaji sifat-sifat dasar graf pembagi tak nol dari ring suatu ring.  Sifat-sifat tersebut kemudian digunakan untuk menyelidiki syarat keterhubungan graf pembagi tak nol dari suatu ring. Metode yang digunakan dalam penelitian ini adalah studi literatur, yaitu dengan menghimpun dan mengkaji ulang berbagai sumber pustaka yang terkait dengan topik penelitian. Berdasarkan penyelidikan yang dilakukan, diperoleh hasil jika himpunan vertex V(Q(R)) mempunyai elemen invertible, maka Q(R) merupakan graf yang terhubung. Kemudian untuk kasus ring Zn diperoleh graf pembagi tak nol dari ring Zn atau Q(Zn) akan menjadi graf terhubung jika dan hanya jika n bukan diantara {1,2,3,6}. Selain itu, suatu graf Q(R) akan menjadi graf terhubung jika R adalah ring tereduksi dengan V(Q(R))>3.
Implementasi Metode Fuzzy Black-Scholes Real Options Valuation pada Rencana Investasi Smelter Nikel Jalaludin, Paiz; Rahman, Alrafiful; Andirasdini, Indah Gumala
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.v8i2.29738

Abstract

Indonesia is the largest nickel producing country in the world in 2022 by contributing 48.48% of the world's total nickel production. Therefore, the Indonesian government pays attention to the development of smelter companies by planning to build around 53 companies in 2024, and 56.60 percent of them are nickel smelters. The potential of the nickel smelter needs attention from various circles, especially academics from various disciplines. One that needs attention is the study of the method of evaluating the economic value of the investment plan in the nickel smelter company. The DCF method, although practical and widely used, still has a drawback, which is that it does not pay attention to the flexibility of managers' decision-making in the middle of the ongoing investment period. As a solution, the real options valuation (ROV) method provides flexibility features in making these decisions. Among the real options methods that are often used is the Black-Scholes formula which is considered the most rigid but more practical real options method. However, this problem can be overcome by implementing the fuzzy number method into the ROV method, making it more flexible. The results of this study show that the fuzzy Black-Scholes ROV method is a practical method, can calculate the risks and projects flexibility, and become a solution when initial information is less available about the characteristics of nickel smelter investment projects.
The Effect of Virotherapy, Chemotherapy, and Immunotherapy to Immune System: Mathematical Modelling Approach Sa'adah, Aminatus; Prihantini, Prihantini; Masulah, Bidayatul
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.v8i2.29521

Abstract

Medical research and therapeutic interventions continue to evolve, and one interesting area of study is the complex interaction among virotherapy, chemotherapy, and the immune system. Each treatment has its own advantages and disadvantages. In this study, a mathematical model was developed to describe how the immune system, tumor cells, and normal cells interact when all three types of therapy are used to treat cancer patients. To determine the effectiveness of various treatments, numerical simulations of eight different treatment strategies were performed. These simulations measured how much the concentration of immune cells, tumor cells, and normal cells decreased as a result of the treatment. Based on the numerical simulations performed, the application of the three types of therapy provided the greatest reduction (99%) in the concentration of tumour cells but also provided a significant reduction (68%) in the concentration of immune cells in the body.
Implementation of Particle Swarm Optimization (PSO) Method In Determining The Composition of Animal Feed In Broiler Chickens With Minimum Cost Dewi, taslima; husein, ismail
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.v8i2.29631

Abstract

 Ayam pedaging merupakan salah satu jenis unggas vertebrata dan daging yang paling populer untuk dikonsumsi masyarakat Indonesia. Pertumbuhan ayam broiler sangat dipengaruhi oleh kualitas pakan yang diterimanya. Komposisi pakan tentunya harus memenuhi nutrisi yang dibutuhkan ayam broiler dengan harga minimal. Optimasi komposisi pakan dilakukan dengan metode Particle Swarm Optimization (PSO). Metode Particle Swarm Optimization (PSO) merupakan teknik optimasi yang mengikuti perilaku sekelompok makhluk hidup untuk seumur hidup seperti sekelompok burung dan sekelompok ikan dalam mencari makanan. Dalam optimasi pakan dengan metode PSO ditentukan dengan melihat beberapa partikel dan mana partikel yang mempunyai nilai kebugaran terbaik. Penelitian ini bertujuan untuk melihat hasil optimasi komposisi pakan dengan metode PSO. Dari perhitungan menggunakan metode PSO dengan harga dari peternak memberikan selisih harga sebesar Rp. 186 dimana parameter PSO yang digunakan adalah r1 dan r2 sebesar 0,2 dan 0,4 serta nilai c1 dan c2 sebesar 2,1 dan 0,9

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