Continuous location of dimensional structures.
In classical location problems, we have to find one or several points for placing new facilities such that they optimize one or several possibly constrained objective functions. Usually the functions depend on the interactions among demand points and new facilities. When the new facilities cannot be represented as points but some kind of dimensional sets (such as straight lines, line-segments, polygonal curves, or circles), then extensive facility location problems arise. In this paper a survey of the existing work on the location of extensive facilities in continuous spaces is given. Gaps in the knowledge are identified and suggestions for further research are made. The list of references consists of 161 items.
scientific article; zbMATH DE number 1992610
scientific article