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Dimensi Metrik pada Graf Theta Rahmadi, Deddy; Albar, Wakhid Fitri
JURNAL DIFERENSIAL Vol 7 No 2 (2025): November 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i2.20790

Abstract

Let $ G = (V, E) $ be a connected graph with vertex set $ V(G) $ and edge set $ E(G) $. For any two vertices $ u $ and $ v $ in $ G $, the shortest path distance between $ u $ and $v$ is denoted by $d(u, v)$. If $W = \{w_1, w_2, \dots, w_k\}$ is an ordered set of vertices in the connected graph $G$ , and $v \in V(G)$, then the representation of vertex $v$ with respect to $W$ , denoted as $r(v|W)$, is $r(v|W) = (d(v, w_1), d(v, w_2), \dots, d(v, w_k))$. If $r(v|W)$ is distinct for each vertex $v \in V(G)$, then $W$ is referred to as a resolving set for $G$. The resolving set with the smallest cardinality is called the minimum resolving set, and the cardinality of this set is the metric dimension of $G$, denoted by $\dim(G)$. This paper explores the metric dimension of the theta graphs.
Solving the Problem of Profit Maximization in Najwa Sewing House Textile Business in Salatiga Hutauruk, Stefany Margaretha; Pitaningtyas, Farisca Ayu; Albar, Wakhid Fitri; Hidayat, Agus Sofian Eka
Mathematical Journal of Modelling and Forecasting Vol. 1 No. 1 (2023): June 2023
Publisher : Universitas Negeri Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/mjmf.v1i1.4

Abstract

Linear programs are often referred to as linear problem-solving methods, one of which is the simplex method. The simplex method is an approach that the author can use in solving a linear program problem in determining the optimal solution that has two or more decision variables where in determining the combination itself can be repeated iterating over the simplex table until the optimum value is found in the optimization problem that has been studied. The business world must have optimization problems that include maximum profits and minimum costs where both problems can be solved using the simplex method. The research began on May 14, 2023 at Najwa Sewing House (Clothing Store) Ngelosari, Jombor, Kec.Tuntang, Semarang Regency. The purpose of this study is to describe and analyze the simplex method in a linear program so that maximum profit is obtained in the production of Najwa Sewing House. The analysis carried out in this study is an analysis using the simplex method with calculations assisted by excel applications. The results showed that the amount of optimum production from each product capacity at Najwa Sewing House resulted in a maximum profit of IDR 2.550.000.
Optimization of Aqua Gallon Water Distribution Cost at Mega Mas Water Depot by VAM and MODI Fatikasari, Najma; Yasinta, Bhernita Mila; Albar, Wakhid Fitri
Mathematical Journal of Modelling and Forecasting Vol. 1 No. 1 (2023): June 2023
Publisher : Universitas Negeri Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/mjmf.v1i1.6

Abstract

This study aims to obtain optimal distribution costs for selling gallons of water at the Air Mega Mas Depot, Sekaran. The data analysis method used is the transportation method, using the VAM (Vogel's Approximation Method) method for the initial solution and the optimal test using the MODI (Modified Distribution) method. Air Mega Mas Depot is faced with the problem of increasing marketing costs due to the lack of regular distribution patterns from the source to the marketing destination, so the company tries to optimize the transportation costs incurred. The distribution of gallon water products at the Air Mega Mas Depot using the transportation method gets optimal results. The costs incurred by the Air Mega Mas Depot for the distribution of gallons of water for a 2-month period (March-April) are Rp. 2.520.000 while for the optimal calculation results for the distribution of gallons of water, a cost of IDR 2.435.000 is obtained. Based on this analysis, Air Mega Mas Depot can optimize distribution costs for the March-April period of IDR 85.000.
Exploring Mathematics Teacher Awareness and Responses to Gender-Based Classroom: A Qualitative Study in Australian Secondary School Zahra, Luthfia Dzakiyyah; Albar, Wakhid Fitri; Chau, Kien Tsong
Mosharafa: Jurnal Pendidikan Matematika Vol. 15 No. 1 (2026): January
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v15i1.3479

Abstract

Studi kualitatif ini menjelaskan perbedaan dalam interaksi di kelas dan hasil belajar antara kelas matematika yang hanya terdiri dari siswa laki-laki dan kelas matematika yang hanya terdiri dari siswa perempuan, dengan fokus khusus pada kesadaran guru dan strategi pengajaran adaptif di sekolah menengah Australia yang multikultural. Data dikumpulkan melalui observasi etnografis dan wawancara dengan guru matematika selama satu semester. Hasil penelitian menunjukkan pola yang jelas berdasarkan gender dalam partisipasi dan pendekatan pemecahan masalah. Siswa laki-laki diamati lebih mudah terlibat dalam proses kognitif tingkat tinggi. Sebaliknya, siswa perempuan cenderung mencari klarifikasi tentang konsep dasar sebelum mencoba tugas. Sebagai tanggapan, guru menerapkan berbagai strategi responsif gender, termasuk pertanyaan terbuka, aktivitas berbasis interaksi, dukungan satu lawan satu, dan penjelasan. Penelitian ini juga mengkaji pengaruh keragaman budaya, menemukan bahwa siswa dari latar belakang yang beragam berinteraksi dengan lancar dan tidak ada kelompok yang secara konsisten menunjukkan prestasi lebih tinggi daripada kelompok lain dalam konteks kelas yang diamati. Temuan ini menunjukkan bahwa lingkungan kelas dan praktik pengajaran di sekolah ini berhasil mendukung partisipasi siswa dari latar belakang yang beragam. This qualitative study explains differences in classroom interaction and learning outcomes between male students’ only and female students’ only mathematics classes, with a particular focus on teacher awareness and adaptive instructional strategies in a multicultural Australian secondary school. Data were collected through ethnographic observation and interview with the mathematics teacher over one term. The result revealed clear gender-based patterns in participation and problem-solving approaches. Male students were observed to engage more readily in higher-order cognitive processes. In contrast, female students tended to seek clarification on basic concepts before attempting tasks. In response, the teacher implemented a range of gender-responsive strategies, including open-ended questioning, interaction-based activities, one-on-one support, and explanations. The paper also explored the influence of cultural diversity, finding that students from diverse backgrounds interact smoothly and no group consistently demonstrates higher achievement than others in the observed classroom context. These findings suggest that the classroom environment and teaching practices at this school successfully support the participation of students from diverse backgrounds.
Comparative Machine Learning Methods for ICD-10 Diagnosis Classification Rahmadi, Deddy; Solihin, Muhammad; Mada, Grandianus Seda; Albar, Wakhid Fitri; Sani, Sophia Carolina
Enthusiastic : International Journal of Applied Statistics and Data Science Volume 6 Issue 1, April 2026
Publisher : Universitas Islam Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20885/enthusiastic.vol6.iss1.art4

Abstract

The classification of disease diagnoses using the International Classification of Diseases (ICD-10) standard is essential for supporting clinical decision-making and administrative processes in healthcare systems. This study evaluated the performance of three machine learning algorithms, namely decision tree, random forest, and support vector machine (SVM), for ICD-10 diagnosis classification using 3,730 textual medical record entries collected from the Klinik Pratama UIN Sunan Kalijaga, Yogyakarta, Indonesia. The dataset exhibited significant class imbalance, which was addressed using the synthetic minority oversampling technique (SMOTE). The preprocessing procedures included text normalization and Term frequency-inverse document frequency (TF-IDF) vectorization, followed by model development with hyperparameter tuning through grid search cross validation. Model performance was assessed using accuracy, precision, recall, F1-score, confusion matrix, and five-fold cross validation. Random forest achieved the highest mean accuracy at 93.65%, followed by decision tree at 92.25% and SVM at 87.91%. These results indicate that ensemble-based approaches provide more reliable classification outcomes for imbalanced textual medical data. The findings are expected to support the development of semi-automated ICD-10 coding systems and improve the efficiency and accuracy of medical coding workflows.