A variant on the shortest path problem - we have multiple employees with access to underground stations around London. What would be the best way of choosing a new office location given the starting points of the employees with the primary goal to keep average transit time using public transport to the new location a minimum? And has anybody done this already? (Mapumental have an open service but it seems to be the wrong way round for my purposes). I've not been able to find anything but perhaps I've been asking the wrong question. the ability to weight the importance of various key staff would be nice as well. Of course, we might well end up just schlepping over to Silicon roundabout.
edited to clarify that Mapumentals service is not wrong, just the way I want to use it