In this paper we study a facility location problem in the plane in which a single point (facility)
and a rapid transit line (highway) are simultaneously located in order to minimize the total
travel time of the clients to the facility, using the L 1 or Manhattan metric. The rapid transit
line is represented by a line segment with fixed length and arbitrary orientation. The highway
is an alternative transportation system that can be used by the clients to reduce their travel
time to the facility. This problem was introduced by Espejo and Rodríguez-Chía in [8]. They …

In this paper we study a facility location problem in the plane in which a single point (facility)
and a rapid transit line (highway) are simultaneously located in order to minimize the total
travel time from the clients to the facility, using the L1 or Manhattan metric. The rapid transit
line is given by a segment with any length and orientation, and is an alternative
transportation line that can be used by the clients to reduce their travel time to the facility. We
study the variant of the problem in which clients can enter and exit the highway at any point …