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Penerapan Model Pembelajaran Group Investigasi Dalam Meningkatkan Kemampuan Representasi Matematis Hasibuan, Shubuhan Syukri; Hasibuan, Elis Rahmadani; Hasibuan, Sundut Azhari
Journal of Information System and Education Development Vol. 2 No. 2 (2024): Journal of Information System and Education Development
Publisher : Manna wa Salwa Foundation (Yayasan Manna wa Salwa)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62386/jised.v2i2.71

Abstract

The purpose of this research is to improve the ability of mathematical representation of Grade X OTKP 2023/2024 Academic Year during mathematics with implementation of investigation in increase ability representation mathematical . The type of research is classroom researh of two cycles based on teaching syllabus of the mathematics teacher in class x otkp . Each cycle is carried ot based on the competency standards to be achieved in learning. The cycle in this class action research through four stages, namely: planning of action; implementation of action; observation and evaluation; reflection. Based on the result of research conducted on the Grade x otkp 2023/2024 Academic Year on the competency standards: solving system of linear equation of one variable learning model in the group investigation improve the ability of mathematical representation, which are : respones and learning outcomes shown in cycle II are primly good and the students mathematical representation test capability in each cycle has improve signivicantly, until 80% on the last cycle. Moreover, the results showed that there are only 3 students from of 20 students who obtain score 70 which is the minimum completeness criteria set by the school . Therefore, learning by applying learning model group investigation can improve the ability of mathematical representation.
A Multi-Objective Decomposition Model for Integrated Urban Transit Line Planning and Passenger Routing Hasibuan, Shubuhan Syukri; Suwilo, Saib; Mardiningsih, Mardiningsih
Sinkron : jurnal dan penelitian teknik informatika Vol. 9 No. 2 (2025): Research Articles April 2025
Publisher : Politeknik Ganesha Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33395/sinkron.v9i2.14803

Abstract

: Urban public transport networks must balance traveler convenience with tight budgetary and capacity constraints. This study develops a comprehensive multi-objective integer programming framework that unifies line selection, frequency setting, and passenger routing to minimize door-to-door travel time and operating cost while respecting vehicle capacities and limiting transfers. The model is solved using a Dantzig–Wolfe decomposition approach with linear-programming relaxation, which enables tractable solutions on realistically scaled networks. To reflect real-world commuting behavior, three increasingly sophisticated formulations are proposed: a Basic Line Planning Model, a Direct Connection Capacity Model, and a Change-and-Go Model that embeds walking and waiting penalties. On a six-edge, four-node network with 6,000 passenger trips, the Change-and-Go Model emerges as the most effective, reducing average travel time by 47%, halving transfers, and increasing cost by only 11% compared to the incumbent plan. Sensitivity analysis reveals that the model remains robust under varying demand levels and cost–time priorities. The proposed framework thus offers a scalable and passenger-friendly decision-support tool that significantly improves public transport efficiency with moderate investment, making it especially valuable for urban transit agencies seeking to modernize their services.