Lagrangean relaxation for the geographical partitioning problem

 

Salvato in:
Dettagli Bibliografici
Autori: Díaz García, Juan Antonio, Bernábe Loranca, María Beatríz, Luna Reyes, Dolores Edwiges, Olivares Benítez, Elías, Martínez Flores, José Luis
Natura: artículo original
Status:Versión publicada
Data di pubblicazione:2012
Descrizione:Among methodologies used in territory clustering, stand location-allocation and set partitioning models, to group small geographic areas, usually called “basic units” into a given number of larger groups called “territories”. The territory clustering problem is modeled as a p-median problem. A Lagrangean relaxation is used to obtain lower bounds to the optimal solution of the problem and a procedure is used to obtain upper bounds. In order to evaluate the performance of the proposed procedure, instances of two Mexico cities are used. The results obtained with the proposed method are compared to partitioning methods from the literature. According to the obtained results for the considered instances using different number of groups, optimal or near optimal solution are obtained with a reasonable amount of computer effort.  
Stato:Portal de Revistas UCR
Istituzione:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Lingua:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/1332
Accesso online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/1332
Keyword:partitioning
Lagrangean relaxation
heuristics
particionamiento
relajación Lagrangena
heurísticas