2006
DOI: 10.1080/10170660609509336
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An Ant Colony Approach to the Orienteering Problem

Abstract: This paper develops an ant colony optimization approach to the orienteering problem, a general version of the well-known traveling salesman problem with many relevant applications in industry. Based on mainstream ant colony ideas, an unusual sequenced local search and a distance based penalty function are added to result in a method that is convincingly shown to be the best heuristic published for this problem class. Results on 67 test problems from the literature show that the ant colony method performs as we… Show more

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Cited by 23 publications
(12 citation statements)
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“…All these heuristics were tested using the small size benchmark problems provided in [70] with improving solution quality. More recently, many types of sophisticated meta-heuristic techniques have been applied on the OP, for example: artificial neural networks [72], tabu search [33], genetic algorithms [67], and ant colony optimization [52]. These meta-heuristics can provide comparable results on much larger scale problems (up to 300 nodes); among them, the tabu search has been shown to provide an optimality gap that is less than 1% in a number of experiments.…”
Section: Routing Problem With Profitsmentioning
confidence: 98%
“…All these heuristics were tested using the small size benchmark problems provided in [70] with improving solution quality. More recently, many types of sophisticated meta-heuristic techniques have been applied on the OP, for example: artificial neural networks [72], tabu search [33], genetic algorithms [67], and ant colony optimization [52]. These meta-heuristics can provide comparable results on much larger scale problems (up to 300 nodes); among them, the tabu search has been shown to provide an optimality gap that is less than 1% in a number of experiments.…”
Section: Routing Problem With Profitsmentioning
confidence: 98%
“…However, methods that use ant colonies to solve the OP have been demonstrated [22] to obtain suboptimal solutions with better response times.…”
Section: Orienteering Problem Overviewmentioning
confidence: 99%
“…The selection of the next node to visit is carried out either by randomly exploring the search space or by applying a probabilistic state transition rule that takes into account the attractiveness of the nodes and the pheromone trails that have been deposited by other artificial ants (see [22] for a mathematical definition of this process). Once m solutions have been obtained, the best tour is selected, pheromone trails are intensified for the graph edges in the winning tour and evaporation is applied to the remaining trails in the graph.…”
Section: Ant Colony Optimization Overviewmentioning
confidence: 99%
“…Apply ACO-OP algorithm END SACO SACO is different from other ACO algorithms, such as ACO-OP [20], in that the former uses semantic descriptions of concepts to dynamically assign scores to nodes representing problem domain entities in a process called semantic score assignment. In addition, this process is not performed statically and only once for every user according to his profile, but instead is a dynamic process that considers the restrictions defined either automatically or by the user.…”
Section: Saco: An Ontology-based Multicriteria Aco Algorithmmentioning
confidence: 99%
“…The selection of the next node to visit is carried out either by randomly exploring the search space or by applying a probabilistic state transition rule that takes into account the attractiveness of the nodes and the pheromone trails that have been deposited by other artificial ants (see [20] for a mathematical definition of this process). Once m solutions have been obtained, the best tour is selected, pheromone trails are intensified for the graph edges in the winning tour and evaporation is applied to the remaining trails in the graph.…”
Section: Ant Colony Optimization Overviewmentioning
confidence: 99%