'Reversing' Service Area calculation

Discussion created by dubhousing on Jul 13, 2011
Latest reply on Jul 13, 2011 by dubhousing

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,