The growth of the urban population exerts considerable pressure on municipalities’ public managers to focus their attention on providing emergency medical care that meets the growing demand for emergency pre-hospital medical care. It is estimated that, by 2050, urban areas should have a population of 6.29 billion people, equivalent to 69% of the world’s total population. Currently, there are a significant number of traffic accidents and other serious occurrences, such as heart attacks, drownings, fires and disasters (floods, landslides, earthquakes) that demand a prompt and seamless response from pre-hospital medical care. In Brazil in the year of 2014 there were 43,075 traffic-related deaths and in 2016 62,517 homicides occurred. As a result of such scenario, the present article endeavours to apply a dual-coverage mathematical model (DSM-Double Standard Model) to define the optimal location of the SAMU decentralized dispatch bases in Natal / RN and conduct a simulation study to evaluate the displacement of ambulances between such bases. The results obtained throughout the research demonstrated the feasibility of redefining the decentralized bases of SAMU/Natal ambulances as a strategy to reduce response time and guarantee compliance with performance parameters established by international organizations (the World Health Organization, for instance, establishes the time of 8 minutes for emergency medical service calls response). The simulation study showed a significant reduction in response time, by up to 60% in some cases.