What is the best Clustering algorithm to use in clustering fire brigades , police, Ambulance in a given map?

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I want to divide the map to several parts and each part has it's assigned number of police forces , Ambulance, Fire fighters as dots in a map and the bigger the building the more forces I will need to be assigned to that building .. So can anybody recommend the best algorithm?. Note that Ambulance are for saving civilians, fire brigades are for putting out fires in buildings , Police is for clearing blocked roads only

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Has QUIT--Anony-Mousse On

It's not a clustering problem.

You don't want to group similar buildings or similar ambulances.

What you have is an assignment problem. You want to match providers (firefighters) and demand (buildings).

While there are of course some similarities (spatial consistency), that does not extend much beyond both being some kind of optimization problem.