The stability of Petri net model for the COVID-19 patient service system

Abstract

Coronavirus Disease 2019 (COVID-19) is an infectious disease caused by SARS-CoV-2 and designated a pandemic by the World Health Organization (WHO) on March 11, 2020. As cases increase, the number of patients requiring services is more than the available staff and facilities, in queues resulting in longer patient waiting times. One way to analyze the queuing system is to model using max-plus algebra. Before forming the Max-Plus Algebra model, Petri Net was built, which is a graphical and mathematical modeling tool for analyzing a system, so in this study, the results obtained in the form of a model Petri Net and max-plus algebra in the treatment of COVID-19 patients, where is the service flow patients used are limited to referral patient services with positive and suspected cases Patients Under Surveillance (PDP) COVID-19.