Optimal locations for a class of nonlinear, single-facility location problems on a network.
This paper investigates a class of single-facility location problems on an arbitrary network. Necessary and sufficient conditions are obtained for characterizing locally optimal locations with respect to a certain nonlinear objective function. This approach produces a number of new results for locating a facility on an arbitrary network, and in addition it unifies several known results for the special case of tree networks. It also suggests algorithmic procedures for obtaining such optimal locations.
D006275:Health Facility Planning; D006297:Health Services Accessibility / Q000191:economics*; D006801:Humans; D009874:Operations Research; D013996:Time and Motion Studies