scholarly journals Quasiconvex constrained multicriteria continuous location problems: Structure of nondominated solution sets

2008 ◽  
Vol 35 (3) ◽  
pp. 750-765 ◽  
Author(s):  
J. Puerto ◽  
A.M. Rodríguez-Chía
Keyword(s):  
Location Problems ◽  
Continuous Location ◽  
Solution Sets ◽  
Nondominated Solution

scholarly journals A new local search for continuous location problems

2014 ◽  
Vol 232 (2) ◽  
pp. 256-265 ◽  
Author(s):  
Jack Brimberg ◽  
Zvi Drezner ◽  
Nenad Mladenović ◽  
Said Salhi
Keyword(s):  
Local Search ◽  
Location Problems ◽  
Continuous Location

scholarly journals Using injection points in reformulation local search for solving continuous location problems

2017 ◽  
Vol 27 (3) ◽  
pp. 291-300 ◽  
Author(s):  
Jack Brimberg ◽  
Zvi Drezner ◽  
Nenad Mladenovic ◽  
Said Salhi
Keyword(s):  
Local Search ◽  
Main Idea ◽  
Continuous Model ◽  
Continuous Phase ◽  
Location Problems ◽  
Data Sets ◽  
Continuous Location ◽  
New Approach ◽  
Discrete Phase ◽  
Discrete Counterpart

Reformulation local search (RLS) has been recently proposed as a new approach for solving continuous location problems. The main idea, although not new, is to exploit the relation between the continuous model and its discrete counterpart. The RLS switches between the continuous model and a discrete relaxation in order to expand the search. In each iteration new points obtained in the continuous phase are added to the discrete formulation. Thus, the two formulations become equivalent in a limiting sense. In this paper we introduce the idea of adding 'injection points' in the discrete phase of RLS in order to escape a current local solution. Preliminary results are obtained on benchmark data sets for the multi-source Weber problem that support further investigation of the RLS framework.

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