On the simultaneous location of a service facility and a rapid transit line

TL;DR

This paper introduces a finite candidate set for the optimal placement of a service facility and rapid transit line, aiding in solving the joint location problem efficiently.

Contribution

It provides a finite set of candidate solutions for the joint location problem, simplifying the search for optimal placement.

Findings

Finite candidate set for optimal solutions

Simplifies joint location problem

Facilitates efficient solution methods

Abstract

In this paper we provide a finite set of candidates to be one of the endpoints of an optimal solution for the problem of locating simultaneously a service facility and a rapid transit line.