Kontrol Optimal Model Kecanduan Game Online Menggunakan Prinsip Minimum Pontryagin

Najah, Sayyidatun (2024) Kontrol Optimal Model Kecanduan Game Online Menggunakan Prinsip Minimum Pontryagin. Other thesis, Institut Teknologi Sepuluh Nopember.

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Abstract

Kecanduan game online menjadi perhatian serius karena berdampak negatif pada kesehatan mental dan produktivitas individu. Salah satu pendekatan yang diusulkan untuk mengatasi masalah ini adalah melalui pemodelan matematika, dengan tujuan mengembangkan strategi kontrol yang efektif. Penelitian ini memandang kecanduan game online sebagai sistem dinamik populasi dan menggunakan modifikasi model SLAPR (Susceptible – Light Gamer – Addicted – Professional - Recovered) untuk merepresentasikannya. Populasi dibagi menjadi lima kompartemen: S (populasi rentan), L (pemain game ringan), A (populasi yang kecanduan), P (populasi profesional), dan R (populasi yang sembuh). Ditambahkan laju perpindahan individu dari pemain game ringan (L) ke populasi yang sembuh (R). Prinsip Minimum Pontryagin digunakan dalam penelitian ini untuk menemukan kontrol optimal yang dapat meminimalkan jumlah individu terdampak kecanduan. Solusi numerik dari kontrol optimal diimplementasikan dengan metode Runge-Kutta orde empat, menghasilkan solusi akurat untuk model SLAPR dengan kontrol yang optimal. Selanjutnya, dilakukan simulasi numerik menggunakan perangkat lunak MATLAB untuk mengevaluasi dampak kontrol yang diusulkan terhadap tingkat kecanduan game online. Berdasarkan hasil simulasi numerik, pemberian kontrol berupa konseling dapat mengurangi jumlah individu yang kecanduan terhadap game online, sedangkan pengawasan orang tua dapat mengurangi populasi rentan dan pemain game
ringan.

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Addiction to online games has become a serious concern due to its negative impact on mental well-being and individual productivity. One proposed approach to address this issue is through mathematical modeling, aiming to develop effective control strategies. This research views online game addiction as a dynamic population system and utilizes a modified SLAPR model (Susceptible – Light Gamer – Addicted – Professional - Recovered) to represent it. The population is divided into five compartments: S (susceptible population), L (light gamers), A (addicted population), P (professionals), and R (recovered population). Added the transition rate of individuals from light game players (L) to the recovered population (R). The Minimum Pontryagin Principle is employed to identify optimal controls that minimize the number of individuals affected by addiction. Numerical solutions for optimal control are implemented using fourth-order Runge-Kutta method, providing accurate solutions for the SLAPR model with optimal controls. Subsequently, numerical simulations are conducted using MATLAB software to evaluate the proposed controls’ impact on the level of online game addiction. Based on numerical simulation results, providing counseling as a control measure can reduce the number of individuals addicted to online games, while parental supervision can decrease the vulnerable population and light gamers.

Item Type:	Thesis (Other)
Uncontrolled Keywords:	Kecanduan game online, Model SLAPR, Prinsip Minimum Pontryagin, Metode Runge-Kutta orde empat ============================================================ Online game addiction, SLAPR model, Pontryagin’s Minimum Principle, Fourth-order Runge-Kutta method
Subjects:	Q Science > QA Mathematics > QA372.B9 Differential equations--Numerical solutions. Runge-Kutta formulas--Data processing. Q Science > QA Mathematics > QA401 Mathematical models.
Divisions:	Faculty of Mathematics and Science > Mathematics > 44201-(S1) Undergraduate Thesis
Depositing User:	Sayyidatun Najah
Date Deposited:	04 Aug 2024 13:12
Last Modified:	04 Aug 2024 13:12
URI:	http://repository.its.ac.id/id/eprint/110425

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