Title
Randomized heuristics for the Capacitated Clustering Problem.
Abstract
In this paper, we investigate the adaptation of the Greedy Randomized Adaptive Search Procedure (GRASP) and Iterated Greedy methodologies to the Capacitated Clustering Problem (CCP). In particular, we focus on the effect of the balance between randomization and greediness on the performance of these multi-start heuristic search methods when solving this NP-hard problem. The former is a memory-less approach that constructs independent solutions, while the latter is a memory-based method that constructs linked solutions, obtained by partially rebuilding previous ones. Both are based on the combination of greediness and randomization in the constructive process, and coupled with a subsequent local search phase. We propose these two multi-start methods and their hybridization and compare their performance on the CCP. Additionally, we propose a heuristic based on the mathematical programming formulation of this problem, which constitutes a so-called matheuristic. We also implement a classical randomized method based on simulated annealing to complete the picture of randomized heuristics. Our extensive experimentation reveals that Iterated Greedy performs better than GRASP in this problem, and improved outcomes are obtained when both methods are hybridized and coupled with the matheuristic. In fact, the hybridization is able to outperform the best approaches previously published for the CCP. This study shows that memory-based construction is an effective mechanism within multi-start heuristic search techniques.
Year
DOI
Venue
2017
10.1016/j.ins.2017.06.041
Information Sciences
Keywords
Field
DocType
Capacitated Clustering,Grasp,Matheuristic,Graph partitioning
Simulated annealing,Mathematical optimization,Heuristic,GRASP,Heuristics,Artificial intelligence,Local search (optimization),Greedy randomized adaptive search procedure,Cluster analysis,Graph partition,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
417
C
0020-0255
Citations 
PageRank 
References 
4
0.42
21
Authors
4
Name
Order
Citations
PageRank
A. Martinez-Gavara1161.88
Dario Landa Silva231628.38
Vicente Campos315411.56
Rafael Martí462443.44