2010
DOI: 10.1016/j.asoc.2009.09.014
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An ant colony optimization algorithm for the bi-objective shortest path problem

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Cited by 84 publications
(23 citation statements)
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“…For example, in Figure 4, there exist four paths between the start and the end points: 'start-A-D-end', 'start-A-C-end', 'start-A-C-E-end' and 'start-B-E-end' with their respective related objective functions of (5, 5), (4, 5), (6,6) and (6,4). In this graph, the objective functions (5,5) and (6,6) are dominated by (4,5), however between (4,5) and (6,4) the best path cannot be chosen because none is dominated by the other. As a result, the non-dominated paths are 'start-A-C-end' and 'start-B-E-end' with (4,5), (6,4) as objective functions.…”
Section: A Shortest Path Problemmentioning
confidence: 99%
“…For example, in Figure 4, there exist four paths between the start and the end points: 'start-A-D-end', 'start-A-C-end', 'start-A-C-E-end' and 'start-B-E-end' with their respective related objective functions of (5, 5), (4, 5), (6,6) and (6,4). In this graph, the objective functions (5,5) and (6,6) are dominated by (4,5), however between (4,5) and (6,4) the best path cannot be chosen because none is dominated by the other. As a result, the non-dominated paths are 'start-A-C-end' and 'start-B-E-end' with (4,5), (6,4) as objective functions.…”
Section: A Shortest Path Problemmentioning
confidence: 99%
“…This method is widely applied to the complex multi-objective optimization problem. Now some more mature evolutionary algorithms used in the multiobjective optimization problem include genetic algorithm [14] ant colony algorithm [15,16] particle swarm algorithm [17,18] etc. For example, Wu [19] et al proposes an improved constraint optimization particle swarm algorithm.…”
Section: Related Workmentioning
confidence: 99%
“…Thus, the paths with high concentration pheromone can attract more ants to choose them. The positive feedback principle of the ant pheromone can guide the ants to find the optimal paths, so it has fast convergence and global optimization performances [8][9][10]. However, like any other swarm intelligent optimization algorithms, such as genetic algorithm, the artificial fish school algorithm, and so on, the ant colony algorithm has the prematurity problem [11][12].…”
Section: Introductionmentioning
confidence: 99%