ANALYSIS OF SIR MODEL WITH OPTIMAL CONTROL STRATEGY FOR A SIMPLE TRAFFIC CONGESTION PROCESS

被引：1

作者：

Herdiana, Ratna ^{[1
]}

Rafsanjani, Zani anjani ^{[1
]}

Tjahjana, R. heru ^{[1
]}

Erlangga, Yogi ahmad ^{[2
]}

Ansori, Moch. fandi ^{[1
]}

机构：

[1] Univ Diponegoro, Dept Math, Semarang 50275, Indonesia

[2] Zayed Univ, Coll Nat & Hlth Sci, Dept Math, Abu Dhabi, U Arab Emirates

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2024年

关键词：

SIR; traffic congestion; optimal control; GLOBAL STABILITY; DISEASE;

D O I：

10.28919/cmbn/8336

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

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页数：20

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