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Model Matematika terhadap Dinamika Kecanduan Judi Online pada Masyarakat Desa Tanjung Putus Fadila Inka Syahfitri; Erika Handayani Br. Siahaan; Fani Indriyani Ningsih; Apriyani Sitompul
Jurnal Arjuna : Publikasi Ilmu Pendidikan, Bahasa dan Matematika Vol. 3 No. 1 (2025): Jurnal Arjuna : Publikasi Ilmu Pendidikan, Bahasa dan Matematika
Publisher : Asosiasi Riset Ilmu Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61132/arjuna.v3i1.1607

Abstract

This study develops a mathematical model to analyze the dynamics of online gambling addiction among the Tanjung Putus Village community using the SEIR (Susceptible-Exposed-Infectious-Recovered) model approach. This model aims to understand how the spread of online gambling addiction develops within a community and identify factors that affect the transition of individuals from one status to another, from susceptible (Susceptible), exposed (Exposed), infected (Infectious), to recovered (Recovered). The results show that although the number of recovered individuals continues to increase, the recovery rate (R) remains slow due to the low recovery rate ( ). This indicates that without more effective interventions, infected individuals will remain trapped in addiction for a long time.
Optimisasi Rute Distribusi Gas LPG 3 Kg Pada PT Arafizza Sikumbang Menggunakan Model VRP dan Algoritma Clarke and Wright Savings Fani Indriyani Ningsih; Rina Filia Sari
Mandalika Mathematics and Educations Journal Vol 7 No 3 (2025): Edisi September
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i3.9835

Abstract

This study aims to optimize the distribution of 3 kg LPG cylinders at PT Arafizza Sikumbang, Medan Selayang District, Medan City. Efficient distribution is important to prevent shortages and reduce operational costs. The company serves 12 bases using Colt Diesel vehicles. The Vehicle Routing Problem (VRP) model with the Clarke and Wright Savings Algorithm was applied to improve delivery route efficiency. The data used was secondary data from December 2024, including distribution center locations, demand, vehicle capacity, and transportation costs, processed using Google Maps API and Microsoft Excel to create distance matrices and savings matrices. The initial route of 110.1 km with a cost of Rp 74,868 was successfully optimized to 90.9 km and Rp 61,812, achieving savings of 17.44% in distance and 17.4% in cost. These results demonstrate the effectiveness of the algorithm in improving LPG distribution efficiency and are relevant for application in similar logistics cases.