Document Type
Article
Source of Publication
Communications in Mathematical Biology and Neuroscience
Publication Date
1-1-2024
Abstract
Traffic analysis on highways at the macroscopic level is very similar to the analysis of the spread of infectious diseases, namely the susceptible-infected-recover (SIR) model. We propose the SIR model with a control variable. The dynamics with fixed control and stability of the model are analyzed. Sensitivity analysis was also carried out. Variable control is applied as an effort to regulate or change the duration of the green light at an intersection. We obtain an optimal control strategy when the control is time-dependent. Numerical results show the positive impacts of implementing the control to susceptible vehicles and treatment for congested vehicles. We have also done an efficiency analysis, which shows that control is more effective than without control.
DOI Link
ISSN
Publisher
SCIK Publishing Corporation
Volume
2024
Disciplines
Mathematics
Keywords
optimal control, SIR, traffic congestion
Scopus ID
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Herdiana, Ratna; Rafsanjani, Zani Anjani; Tjahjana, R. Heru; Erlangga, Yogi Ahmad; and Ansori, Moch Fandi, "Analysis of SIR Model With Optimal Control Strategy for a Simple Traffic Congestion Process" (2024). All Works. 6387.
https://zuscholars.zu.ac.ae/works/6387
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Gold: This publication is openly available in an open access journal/series