Claim Missing Document
Check
Articles

Found 2 Documents
Search

Analisis Numerik Gerak Jatuh Bebas: Penerapan Metode Deret Taylor dengan MATLAB Rizal Muslim Sinaga; Safitra Randiawan Lubis; Fahra Pebiana Putri; Putri Harliana
AR-RUMMAN: Journal of Education and Learning Evaluation Vol 1, No 2 (2024): Desember 2024
Publisher : CV. Rayyan Dwi Bharata

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57235/arrumman.v1i2.4200

Abstract

Persamaan diferensial biasa (PDB) sering muncul di berbagai bidang ilmu pengetahuan, termasuk fisika dan biologi. Salah satu penerapan PDB dalam fisika adalah fenomena gerak jatuh bebas. Penelitian ini berfokus pada penerapan metode deret Taylor untuk menyelesaikan PDB, dengan studi kasus gerak jatuh bebas. Metode deret Taylor dapat menjadi rumit secara manual, terutama untuk orde yang lebih tinggi, sehingga penggunaan software seperti MATLAB sangat penting untuk mempercepat perhitungan dan meningkatkan akurasi dibandingkan metode manual. Hasil penelitian ini membuktikan bahwa metode deret Taylor dapat diterapkan secara efektif untuk menyelesaikan PDB dalam kasus gerak jatuh bebas. Selain itu, simulasi MATLAB juga terbukti menjadi alat yang bermanfaat dalam membantu pemahaman fenomena fisika dan mendukung pendidikan fisika dengan memberikan visualisasi yang lebih jelas.
Dynamic Programming Implementation for Delivery Route Optimization in E-Commerce Logistics Selfi Audy Priscilia; Zulfahmi Indra; Fahra Pebiana Putri
Jurnal Indonesia Sosial Teknologi Vol. 5 No. 10 (2024): Jurnal Indonesia Sosial Teknologi
Publisher : Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59141/jist.v5i10.6423

Abstract

The rapid growth of e-commerce has created new challenges in logistics optimization, particularly in terms of delivery route efficiency. This research develops a dynamic programming model to optimize delivery routes in the context of e-commerce in Indonesia. Using a modified Vehicle Routing Problem with Time Windows (VRPTW) approach, we implemented an algorithm that considers various factors such as distance, time, and cost. Simulations using synthetic datasets showed efficiency improvements of 18.7% in travel distance and 22.3% in delivery time compared to conventional methods. Field trials with an e-commerce partner resulted in a 21.5% reduction in travel distance and an increase in on-time delivery rate from 87% to 94%. Sensitivity analysis revealed that the algorithm's performance is most affected by demand fluctuations and changes in traffic conditions. Implementation challenges include integration with existing systems and consideration of workforce impact. This research opens avenues for further development in algorithm scalability, integration of sustainability factors, and adaptation to various geographical contexts, demonstrating significant potential for improving e-commerce logistics efficiency in the future.