This paper reviews a class of continuous locational optimization problems (where an optimal
location or an optimal configuration of facilities is found in a continuum on a plane or a …

Continuous covering location problems Page 1 Continuous covering location problems ∗
Frank Plastria GOLD - Research Group on Location and Distribution Department of …

Given a set of n demand points with weight W i, i= 1, 2,..., n, in the plane, we consider
several geometric facility location problems. Specifically we study the complexity of the …

A neglected aspect of facility location problems is the geometric representation of the
facilities sited and clients served. Point objects represent these entities in most facility …

Line and hyperplane location problems play an important role not only in operations
research and location theory, but also in computational geometry and robust statistics. This …

A natural extension of point facility location problems are those problems in which facilities
are extensive, ie those that cannot be represented by isolated points but as some …

In this survey we deal with the location of hyperplanes in n-dimensional normed spaces, ie,
we present all known results and a unifying approach to the so-called median hyperplane …

This chapter is a survey on problems related to the approximation of finite weighted point
sets in d-space by hyperplanes with respect to certain metrics. From the viewpoint of …

We consider the problem of locating a line or a line segment in three-dimensional space,
such that the sum of distances from the facility represented by the line (segment) to a given …

This problem deals with the location of a route or path through a set of given points in order
to maximize the smallest weighted distance from the given points to the route. Applications …