Kontrol Optimal pada Kasus Kekerasan Seksual di Perguruan Tinggi X dengan Edukasi, Pendampingan, dan Sanksi

Wulandari, Niken Ayu (2024) Kontrol Optimal pada Kasus Kekerasan Seksual di Perguruan Tinggi X dengan Edukasi, Pendampingan, dan Sanksi. Other thesis, Institut Teknologi Sepuluh Nopember.

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Abstract

Kekerasan seksual merupakan suatu permasalahan kompleks dengan melibatkan banyak faktor yang saling berkaitan. Isu kekerasan seksual telah lama menjadi keprihatinan dalam masyarakat, tak terkecuali dalam dunia pendidikan. Perguruan tinggi dianggap berisiko karena banyaknya kasus kekerasan seksual yang melibatkan civitas akademika. Padahal, seharusnya Perguruan Tinggi menjadi tempat aman untuk mengembangkan potensi diri. Tugas Akhir ini memodelkan permasalahan kekerasan seksual di Perguruan Tinggi dan membahas tentang analisis pada model dengan menentukan bilangan reproduksi dasar, titik kesetimbangan bebas kekerasan seksual dan endemik, serta keterkontrolan sistem. Selain itu, diberikan tiga kontrol berupa edukasi, pendampingan pada korban, dan pemberian sanksi bagi pelaku. Masalah kontrol optimal diselesaikan dengan Prinsip Minimum Pontryagin dan dilakukan pula simulasi numerik menggunakan metode Runge Kutta Fehlberg Orde Lima. Hasil simulasi menunjukkan bahwa kontrol-kontrol yang diberikan mampu mengendalikan populasi individu pelaku dan korban kekerasan seksual.
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Sexual violence is a complex issue involving many interconnected factors. The issue of sexual violence has long been a concern in society, including in education. Universities are considered risky places due to the numerous cases of sexual violence involving members of the academic community. In fact, universities should be safe spaces for personal development. This final project models the problem of sexual violence in universities and discusses the analysis of the model by determining the basic reproduction number, the violence-free and endemic equilibrium points, and controllability of the system. Additionally, three controls are proposed: education, counseling and support for victims, and sanctions for perpetrators. The optimal control problem is solved using Pontryagin's Minimum Principle, and numerical simulations are conducted using the Fifth-Order Runge-Kutta-Fehlberg method. The simulation results show that the proposed controls are effective in managing the population of perpetrators and victims of sexual violence.

Item Type:	Thesis (Other)
Uncontrolled Keywords:	Kekerasan Seksual, Prinsip Minimum Pontryagin, Runge-Kutta-Fehlberg Orde Lima, Sexual Violence, Pontryagin's Minimum Principle, Fifth Order Runge-Kutta-Fehlberg
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA401 Mathematical models. Q Science > QA Mathematics > QA614.8 Differentiable dynamical systems
Divisions:	Faculty of Science and Data Analytics (SCIENTICS) > Mathematics > 44201-(S1) Undergraduate Thesis
Depositing User:	Niken Ayu Wulandari
Date Deposited:	06 Aug 2024 03:26
Last Modified:	06 Aug 2024 03:26
URI:	http://repository.its.ac.id/id/eprint/111408

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