Title
Tabu Search versus GRASP for the maximum diversity problem
Abstract
Description: The Maximum Diversity Problem (MDP) consists in determining a subset M of given cardinality from a set of elements N, in such a way that the sum of the pairwise differences between the elements of M is maximum. This problem, introduced by Glover, Hersh and McMillian has been deeply studied using the GRASP methodology. GRASPs are often characterized by a strong design effort dedicated to the randomized generation of high quality starting solutions, while the subsequent improvement phase is usually performed by a standard local search technique. The purpose of this paper is to explore a somewhat opposite approach, that is to refine the local search phase, by adopting a Tabu Search methodology, while keeping a very simple initialization procedure. Extensive computational results show that Tabu Search achieves both better results and much shorter computational times with respect to those reported for GRASP.
Year
DOI
Venue
2008
10.1007/s10288-007-0033-9
4OR
Keywords
Field
DocType
maximum diversity · grasp · tabu search msc classification 90c26 · 90c59,tabu search,local search
Hill climbing,Pairwise comparison,Mathematical optimization,GRASP,Guided Local Search,Cardinality,Local search (optimization),Initialization,Mathematics,Tabu search
Journal
Volume
Issue
ISSN
6
1
1614-2411
Citations 
PageRank 
References 
22
1.01
6
Authors
3
Name
Order
Citations
PageRank
Roberto Aringhieri120015.90
Roberto Cordone231028.87
Yari Melzani3221.35