Location of central nodes in time varying computer networks

A single-facility dynamic-network location problem with a continuous (rather than discrete) time domain is considered. It is assumed that the network state changes constantly and thus at each moment a different point may be the best choice for facility location. The cost of switching the facility from one node to another is taken into account because this switching consumes resources (although switching does not necessarily involve physical relocation, the cost results from the need to relocate the function). These costs are assumed to be time-dependent