Title
Multi-objective Meta-heuristics for the Traveling Salesman Problem with Profits
Abstract
We introduce and test a new approach for the bi-objective routing problem known as the traveling salesman problem with profits. This problem deals with the optimization of two conflicting objectives: the minimization of the tour length and the maximization of the collected profits. This problem has been studied in the form of a single objective problem, where either the two objectives have been combined or one of the objectives has been treated as a constraint. The purpose of our study is to find solutions to this problem using the notion of Pareto optimality, i.e. by searching for ecient solutions and constructing an ecient frontier. We have developed an ejection chain local search and combined it with a multi- objective evolutionary algorithm which is used to generate diversified starting solutions in the objective space. We apply our hybrid meta-heuristic to synthetic data sets and demonstrate its eectiveness by
Year
DOI
Venue
2008
10.1007/s10852-008-9080-2
J. Math. Model. Algorithms
Keywords
Field
DocType
hybrid method.,multi-objective optimization,comparing our results with a procedure that employs one of the best single-objective approaches. keywords: routing problem,ejection chain,evolutionary algorithm,multi objective optimization,profitability,synthetic data,local search,traveling salesman problem
Bottleneck traveling salesman problem,Traveling purchaser problem,Mathematical optimization,Evolutionary algorithm,Multi-objective optimization,Travelling salesman problem,Artificial intelligence,Local search (optimization),2-opt,Machine learning,Mathematics,Metaheuristic
Journal
Volume
Issue
ISSN
7
2
1572-9214
Citations 
PageRank 
References 
25
0.94
10
Authors
3
Name
Order
Citations
PageRank
Nicolas Jozefowiez134821.58
Fred Glover22729275.46
Manuel Laguna31452131.93