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Title: A Kernel search matheuristic to solve the discrete leader-follower location problem
Authors: Santos Peñate, Dolores Rosa 
Campos Rodríguez, Clara M.
Moreno Pérez, José A.
UNESCO Clasification: 5304 Actividad económica
Keywords: Competitive Location
Kernel Search
Leader-Follower Problem
Linear Programming
Competitividad local
Issue Date: 2019
Project: Técnicas de Optimización y Modelos en Redes Complejas Para la Toma de Decisiones en Economía 
Fundación Cajacanarias (grant 2016TUR19)
Journal: Networks and Spatial Economics 
Abstract: In the leader-follower, (r|p)-centroid or Stackelberg location problem, two players sequentially enter the market and compete to provide goods or services. This paper considers this competitive facility location problem in a discrete space. To solve it, the linear programming formulations for the leader and the follower are integrated into an algorithm which, in an iterative process, finds a solution by solving a sequence of these linear problems. We propose a matheuristic procedure that provides solutions for the leader via a kernel search algorithm. Taking into account binary and S-shaped customer choice rules, we present the computational results obtained and compare the exact algorithm with two versions of the kernel search procedure.
ISSN: 1566-113X
DOI: 10.1007/s11067-019-09472-7
Source: Networks and Spatial Economics [ISSN 1566-113X], v. 20, p. 73–98
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