Nowadays, the states play a crucial role by providing basic public services such as education, justice, and healthcare, among others, to the population. This is particularly true for health systems, where states must promote infrastructure development to ensure equitable access to health services for the entire population. The present work focuses on accessibility to healthcare system services without losing generality. Accordingly, access to the healthcare system relies on the road network infrastructure, which enables the population to reach health services. Consequently, different works in the literature studied the criticality of the road network to rank the most critical links in the road network. The idea behind the criticality metric is to capture the importance of a road segment, which inhabitants use to reach the health system. Thus, criticality depends on the number of inhabitants in a given region. Nonetheless, the before mentioned works are based on static population data, such as census information.