Title
On local search for bi-objective knapsack problems.
Abstract
In this article, a local search approach is proposed for three variants of the bi-objective binary knapsack problem, with the aim of maximizing the total profit and minimizing the total weight. First, an experimental study on a given structural property of connectedness of the efficient set is conducted. Based on this property, a local search algorithm is proposed and its performance is compared to exact algorithms in terms of runtime and quality metrics. The experimental results indicate that this simple local search algorithm is able to find a representative set of optimal solutions in most of the cases, and in much less time than exact algorithms.
Year
DOI
Venue
2013
10.1162/EVCO_a_00074
Evolutionary Computation
Keywords
Field
DocType
structural property,structural analysis,population-based local search,total profit,connectedness,efficient set,exact algorithm,total weight,multi-objective combinatorial optimization,knapsack problems,local search approach,experimental study,bi-objective knapsack problem,local search algorithm,simple local search algorithm,profitability,structure analysis,knapsack problem,combinatorial optimization,local search
Social connectedness,Mathematical optimization,Guided Local Search,Beam search,Continuous knapsack problem,Local search (optimization),Knapsack problem,Mathematics,Iterated local search,Binary number
Journal
Volume
Issue
ISSN
21
1
1530-9304
Citations 
PageRank 
References 
7
0.60
15
Authors
3
Name
Order
Citations
PageRank
Arnaud Liefooghe141639.20
Luís Paquete242725.36
José Rui Figueira385259.84