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Optimisation of the Competency Assessment System Through Matrix Applications and Linear Algebra Using the AHP Method Nabil Ahmad Furqon; Ius Andre Virganata; Maulana Arvian Wibisana; Qalbiridha Albarra; Mohamad Yusuf
Journal Collabits Vol. 2 No. 2 (2025)
Publisher : Journal Collabits

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22441/collabits.v2i2.32523

Abstract

Competency-based assessment systems are increasingly important in education and industry to objectively assess individual abilities, overcoming the subjectivity issues inherent in traditional assessment methods. This study aims to develop an innovative competency assessment system by combining Assessment Matrix and Linear Algebra, specifically using the Analytic Hierarchy Process (AHP) method to systematically and accurately determine the weight of criteria. The research data were taken from a dataset of college students, with five main criteria of competence, including technical skills, cooperation, and creativity. The data normalization process was carried out using Min-Max Scaling and Z-Score Normalization to ensure consistency, followed by the construction of an AHP comparison matrix based on the level of importance between criteria. The weight of the criteria was calculated using the eigenvector method, and the consistency test was carried out through the Consistency Ratio (CR) to ensure the validity of the matrix (CR < 0.1). The final assessment was obtained by multiplying the AHP weights by the student's scores for each criterion. The results showed that this approach resulted in a more objective, transparent, and accurate assessment system than conventional methods, with the potential to improve fairness in evaluation in the academic environment. This research provides a new contribution in the application of linear algebra to the development of competency assessment systems, as well as offering practical solutions for educators and human resource managers in improving performance evaluation.
Evaluation of the Effectiveness of Hybrid Learning Based on Linear Algebraic Hybrid Model in the Online-Offline Lecture System in the Digital Era Andre Meyro Ritonga; Nicholas Sulistio; Guruh Pandhu Anggriawan; Mohamad Yusuf
Journal Collabits Vol. 2 No. 2 (2025)
Publisher : Journal Collabits

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22441/collabits.v2i2.32548

Abstract

Optimal class division is a crucial aspect of academic planning to ensure the effectiveness of the learning process. The main challenges in class division lie in the limited capacity of space, balanced distribution of students, and the fulfillment of varied academic needs. This study proposes a Linear Programming-based approach to optimize class division by considering various constraints, such as the maximum capacity of the room, the number of students, and the distribution of subjects according to curriculum needs. The developed applications are designed to produce optimal solutions that minimize student distribution gaps and ensure efficient classroom utilization. A case study is applied to an educational institution to evaluate the performance of the application in real situations. The results of the experiment show that this approach is able to improve the efficiency of classroom allocation, reduce imbalances in the distribution of students, and optimize the use of educational facilities. Thus, this research contributes to more effective and data-based academic management in decision-making related to class division.
Perbandingan Performa Xception dan InceptionV1 untuk Pengenalan Ekspresi Wajah Ferdinand Defin Delio; Diah Aryani; Habibullah Akbar; Mohamad Yusuf; Yaya Sudarya Triana
FORMAT Vol 15 No 1 (2026)
Publisher : Universitas Mercu Buana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22441/format.2026.v15.i1.003

Abstract

Penelitian ini bertujuan untuk menganalisis dan membandingkan performa dua arsitektur Convolutional Neural Network (CNN) populer, yaitu Xception dan InceptionV1, dalam tugas pengenalan ekspresi wajah (Facial Expression Recognition/FER). Penelitian ini dilakukan dengan pendekatan transfer learning dan fine-tuning menggunakan dataset FER-2013 yang berisi 35.887 citra wajah grayscale berukuran 48×48 piksel yang diklasifikasikan ke dalam tujuh emosi dasar. Setiap citra diubah ukurannya menjadi 224×224 piksel, dinormalisasi, dan diproses dengan teknik augmentasi untuk meningkatkan generalisasi model terhadap variasi ekspresi wajah, pencahayaan, dan pose. Proses pelatihan dilakukan selama 30 epoch menggunakan optimizer Adam dengan learning rate 0.0001 dan batch size 64. Strategi fine-tuning dilakukan dengan membuka 30% lapisan atas model untuk mengoptimalkan bobot fitur yang telah dipelajari sebelumnya dari dataset ImageNet. Evaluasi kinerja dilakukan berdasarkan metrik akurasi, presisi, recall, F1-score, serta efisiensi komputasi yang diukur dari waktu pelatihan dan inferensi. Hasil eksperimen menunjukkan bahwa Xception mencapai akurasi validasi 70,69% dengan waktu inferensi rata-rata 20–25 ms, sedangkan InceptionV1 mencapai 65,80% dengan waktu inferensi 43–126 ms. Arsitektur Xception terbukti lebih efisien secara komputasi karena memanfaatkan depthwise separable convolution yang mengurangi jumlah parameter tanpa menurunkan akurasi. Temuan ini menunjukkan bahwa Xception lebih sesuai untuk aplikasi FER real-time dan perangkat dengan sumber daya terbatas, serta memberikan dasar yang kuat bagi penelitian lanjutan dalam pengembangan sistem pengenalan ekspresi wajah berbasis video dan lingkungan dunia nyata.
Optimizing DBSCAN Parameters for Depth-Based Earthquake Clustering Using Grid Search Rushendra Rushendra; Ody Octora Wijaya; Mohamad Yusuf; Andri Setiyaji; Djoko Prabowo
Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) Vol 9 No 4 (2025): August 2025
Publisher : Ikatan Ahli Informatika Indonesia (IAII)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29207/resti.v9i4.6521

Abstract

This study addresses the challenge of accurately clustering earthquake events based on depth to better understand seismic activity patterns in Sulawesi from 2019 to 2023. Traditional clustering algorithms often fail to capture the complex spatial and depth-based structures of earthquake data. To overcome this, we employed the DBSCAN algorithm, which is well-suited for identifying irregularly shaped clusters and handling noise in spatial datasets. A key focus of this research is the systematic optimization of DBSCAN’s parameters—epsilon (ε) and minimum samples (min_samples)—using a grid search approach. Epsilon values varied from 0.1 to 0.5, and min_samples ranged from 6 to 60. The optimal parameters, determined using the Calinski-Harabasz (CH) index, were ε = 0.4 and min_samples = 54. Compared with previous heuristic settings, the optimized configuration produced better separated and more interpretable clusters. Using the optimized parameters, nine distinct clusters were identified, capturing meaningful patterns in both depth and magnitude. The results revealed that shallow earthquakes (0–20 km) tend to exhibit greater magnitude variation, with some clusters averaging magnitudes up to 3.7. This suggests a higher seismic hazard potential associated with brittle crustal activity. The findings contribute to seismic hazard analysis by providing a more robust understanding of three-dimensional earthquake distribution, aiding regional risk assessment and disaster preparedness efforts. These insights can support agencies such as BMKG and BPBD in hazard mapping, sensor deployment, and contingency planning for high-risk zones.
Analisis Aksesibilitas Spasial Pejalan Kaki Stasiun LRT Jakarta Menggunakan Metode Isochrone Bagas Indra Lesmana; Jericho Jericho; Mohamad Yusuf
Journal Collabits Vol. 3 No. 2 (2026)
Publisher : Journal Collabits

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

Abstract

Pedestrian accessibility around public transportation stations is a key factor in the success of Transit-Oriented Development (TOD) systems in increasing ridership. This study measured, mapped, and analyzed pedestrian catchment areas around Jakarta LRT station corridors, with a travel time of up to 120 minutes, using the Geographic Information System (GIS) QGIS using Network Analysis and Isochrone Mapping methods. Road network data was obtained from OpenStreetMap (OSM) via the QuickOSM plugin. Analysis parameters were configured with a constant walking speed of 5 km/h (1.39 m/s) and a 5-minute time interval. The results show significant spatial disparities between stations. Rasuna Said Station (5,005 km²) and Setiabudi Station (4,182 km²) have optimal accessibility thanks to their extensive and connected arterial road networks and surrounding areas. In contrast, North Boulevard Station (0.008 km²), Velodrome (0.015 km²), and Cikoko (0.034 km²) experience spatial entrapment of pedestrians. This limitation is caused by physical barriers such as toll roads, concrete dividers, and a lack of public crossing facilities. Physical interventions are needed, including constructing pedestrian bridges (JPOs) and updating micro-spatial data on the OSM platform.
MODEL KUANTITATIF ADITIF UNTUK EVALUASI EFEKTIVITAS INTEGRATED MANAGEMENT SYSTEM BERBASIS MULTI-STANDAR ISO Nungky Chandra; Mohamad Yusuf; Siti Maesaroh
Jurnal Sistem Informasi dan Informatika (Simika) Vol. 9 No. 2 (2026): Jurnal Sistem Informasi dan Informatika (Simika)
Publisher : Program Studi Sistem Informasi, Universitas Banten Jaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47080/simika.v9i2.4711

Abstract

Organizations that hold certifications against several ISO management system standards increasingly face duplicated compliance costs and audit fatigue, yet the central Annex SL claim that integration yields more than the sum of individual standards has rarely been tested using formal interaction terms. Existing studies remain largely qualitative or model integration as a single latent construct, leaving the individual, integrative, and synergistic contributions of multiple standards to IMS effectiveness quantitatively unspecified. This study develops and validates a quantitative additive model grounded in the Annex SL framework to evaluate IMS effectiveness across ISO 9001, ISO/IEC 27001, ISO/IEC 27701, ISO 22301, and ISO/IEC 20000-1. The model introduces a Tiered Integration Weight (λk = 1 + 0.10·ln k) that represents diminishing integration benefits as the number of integrated standards increases, separates integrable (approximately 60%) from non-integrable (approximately 40%) requirement elements, and incorporates pairwise interaction terms to capture synergy. Validation was conducted through a numerical simulation of 100 organizational profiles whose parameters were calibrated to reported characteristics of multi-standard adopters; no field survey data were collected at this stage. The simulated data were estimated using hierarchical regression. All five direct effects are positive and significant (p < 0.001). Adding the interaction terms raises the coefficient of determination from R² = 0.917 to R² = 0.938 (ΔR² = 0.021; F-change(4, 88) = 7.438; p < 0.001). The strongest synergy occurs in the ISO/IEC 27001 × ISO/IEC 27701 pair (β = 1.544; p < 0.001), while the other three pairs are not significant, indicating that synergy is selective rather than automatic. Subgroup analysis shows that this synergy is stronger in younger firms (β = 2.560) than in large mature firms (β = 0.839). The study contributes a replicable quantitative framework that distinguishes integrable from non-integrable factors; empirical validation using field data is the next stage of this research.