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All Journal Joutica : Journal of Informatic Unisla Jurnal Sains dan Teknologi QISTINA: Jurnal Multidisiplin Indonesia Jejak digital: Jurnal Ilmiah Multidisiplin
Alvi Sahrin Nasution
Universitas Negeri Medan
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Implementasi Integral Garis pada Medan Vektor dalam Perhitungan Usaha Gaya Alpha Reynaldi Pernanda Tanjung; Desta Asina Nainggolan; Dewi Efarina Simanjuntak; Ian Pedrosa Manatap Lumban Gaol; Rawiyah Rawiyah; Alvi Sahrin Nasution; Hamidah Nasution
Jejak digital: Jurnal Ilmiah Multidisiplin Vol. 2 No. 3 (2026): MEI 2026
Publisher : INDO PUBLISHING

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63822/rym5yy09

Abstract

Line integrals are one of the fundamental concepts in advanced calculus used to determine the accumulation of a quantity along a specific path within a vector field. This concept has various applications in science, particularly in physics and engineering, especially in calculating the work done by a force acting on an object moving along a certain trajectory. This study aims to examine the application of line integrals in vector fields for calculating the work of a force and to analyze the relationship between a particle’s path and the resulting work. The research method employed is a qualitative approach with mathematical analytical study through theoretical review and calculation of line integrals in two-dimensional vector fields. The analysis process involves defining the vector field function representing the force, parameterizing the particle’s path, and evaluating the line integral to obtain the resulting work. The results show that the work done by a force can be determined through the evaluation of a line integral along the path taken by the particle. Furthermore, the analysis of the vector field indicates that the field is conservative, meaning that the work depends only on the initial and final points of the displacement, not on the shape of the path taken. The visualization of the vector field, particle trajectory graphs, and calculation tables helps provide a clearer understanding of the application of line integrals in analyzing work. Therefore, the concept of line integrals in vector fields can be used as an effective mathematical approach to explain the relationship between force and displacement in a physical system.  
Optimasi Produksi Perusahaan Semen dengan Pendekatan Fungsi Turunan: Studi pada PT Semen Indonesia Tbk Combest Prajogo Tambunan; Febriyanti Hasibuan; Alvi Sahrin Nasution
QISTINA: Jurnal Multidisiplin Indonesia Vol. 4 No. 2 (2025): December 2025
Publisher : CV. Rayyan Dwi Bharata

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57235/qistina.v4i2.7309

Abstract

This study aims to analyze the application of derivative functions in optimizing production at PT Semen Indonesia Tbk. Using a differential calculus approach, the research examines the relationship between revenue, cost, and profit through the concepts of Marginal Revenue (MR) and Marginal Cost (MC). The financial report shows total sales of 33.8 million tons, revenue of IDR 34.95 trillion, and cost of goods sold of IDR 24.54 trillion. The results indicate an average price of IDR 1,033,000 per ton and a variable cost of IDR 726,000 per ton. With a demand elasticity of ε = −2, the analysis yields MR = IDR 516,500 and MC = IDR 726,000 per ton. The optimal production level is calculated at approximately 26.9 million tons, which is lower than the actual production. The condition MR < MC implies that additional production does not increase marginal profit. Therefore, production optimization strategies should focus on cost efficiency, distribution improvements, and pricing adjustments to achieve the equilibrium condition MR = MC as the optimal production point.
Beton Ramah Lingkungan dengan Ampas Tebu sebagai Substitusi Parsial Semen Muhammad Rahman Rambe; Noni Paisah; Rizky Febriani Pohan; Alvi Sahrin Nasution
INSOLOGI: Jurnal Sains dan Teknologi Vol. 4 No. 4 (2025): Agustus 2025
Publisher : Yayasan Literasi Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55123/insologi.v4i4.5925

Abstract

Excessive use of cement in construction projects can result in air pollution which can trigger health problems. For this reason, innovation is needed by using environmentally friendly organic materials such as sugarcane bagasse waste as a partial substitute for cement to make environmentally friendly concrete. The use of sugarcane bagasse waste as a partial substitute for cement can prevent environmental pollution due to dust produced by cement. This research aims to make maximum use of sugarcane bagasse waste as a concrete mixture. The method used in this research is an experimental method through the preparation stage, aggregate inspection, job mix design, slump test, making test objects, caring for test objects, testing concrete volume weight and testing concrete compressive strength. The sugarcane bagasse powder used is 0% composition; 2.5%; 5%; 7.5% and 10%. Based on the research results obtained, it can be concluded that the average concrete compressive strength values at variations of 0%; 2.5%; 5%; 7.5% and 10% are 24.08 MPa; 21.98 MPa; 17.67 MPa; 14.54 MPa and 11.66 MPa, respectively. Sugarcane bagasse powder can be used to make environmentally friendly concrete or as a partial replacement for cement. In order to make optimally environmentally friendly concrete, it is recommended that cement be mixed with 2.5% sugarcane bagasse powder.
An optimized kernel SVM framework for game review sentiment analysis using particle swarm optimization Ichwanul Muslim Karo Karo; Sri Dewi; Alvi Sahrin Nasution
Joutica Vol 11 No 1 (2026): MARET
Publisher : Universitas Islam Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30736/jti.v11i1.1633

Abstract

The digital game industry’s rapid growth has increased interaction between developers and players through online review platforms. These reviews contain vital information about gaming experiences and satisfaction, serving as guides for future game versioning. Sentiment analysis provides a strategic approach to automatically classify reviews, offering data-driven insights for developers. This study focuses on enhancing sentiment analysis performance for Player Unknown's Battlegrounds (PUBG) reviews by integrating Kernel Support Vector Machine (SVM) with Particle Swarm Optimization (PSO). A dataset of 1,205 reviews from the Google Play Store was analyzed using TF-IDF feature extraction and 5-fold cross-validation. While default Kernel SVM achieved 76.78% accuracy, it suffered from low precision (56.9%). Implementing PSO for parameter optimization significantly improved performance, reaching 86.42% accuracy, 70.98% precision, and an 83.03% F1-score. Comparisons with Naïve Bayes, basic SVM, BERT, and Lexicon + SVM confirm that the Kernel SVM + PSO model provides superior and more stable performance. These findings highlight PSO’s effectiveness in SVM parameter tuning. Future research should investigate combining metaheuristic optimization with deep learning models to improve model generalization.
Co-Authors Alpha Reynaldi Pernanda Tanjung Combest Prajogo Tambunan Desta Asina Nainggolan Dewi Efarina Simanjuntak Febriyanti Hasibuan Hamidah Nasution Ian Pedrosa Manatap Lumban Gaol Ichwanul Muslim Karo Karo Muhammad Rahman Rambe Noni Paisah Rawiyah Rawiyah Rizky Febriani Pohan Sri Dewi