An axiomatic approach to location on networks

An axiomatic approach to location on networks

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Article ID: iaor199173
Country: United States
Volume: 15
Start Page Number: 553
End Page Number: 563
Publication Date: Jul 1990
Journal: Mathematics of Operations Research
Authors:
Keywords: graphs, networks
Abstract:

The problem under consideration is that of locating a facility on a tree-network, given data specifying the locations on the users on the network. The approach taken is to formulate axioms that require consistent response of the solution to variations in the users’ location data. It is shown that three independent axioms determine together a unique solution, located at the point that minimizes the sum of the squares of the distances to the users.

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