My apologies in advance if I'm getting the terminology wrong or missing something obvious.
I'm interested in assessing how well a facility is situated within its service district by getting a rough calculation of a proxy for the potential cost of transportation to that facility
(in my project, facilities = schools and service area = school districts)
I know how to calculate, given a distance, a service area for each facility; I'm interested in reversing the inputs. Is there a way to calculate the distance required to cover a service area, given the facility's location and its polygonal service district?
If I were to neglect the road network, I would try to find a way calculate the "average" distance from all points in each polygon to the facility location (using integrals?), but I don't know how to do that either.
Thanks in advance for any help you may be able to provide,