The travelling salesman problem: a hierarchical model.

Our review of prior literature on spatial information processing in perception, attention, and memory indicates that these cognitive functions involve similar mechanisms based on a hierarchical architecture. The present study extends the application of hierarchical models to the area of problem solv...

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Detalles Bibliográficos
Publicado en:Memory & Cognition Vol. 28; no. 7; pp. 1191 - 1205
Autores principales: Graham, Scott M., Joshi, Anupam, Pizlo, Zygmunt
Formato: Artículo
Publicado: Springer Science & Business Media B.V. October 2000
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:Our review of prior literature on spatial information processing in perception, attention, and memory indicates that these cognitive functions involve similar mechanisms based on a hierarchical architecture. The present study extends the application of hierarchical models to the area of problem solving. First, we report results of an experiment in which human subjects were tested on a Euclidean traveling salesman problem (TSP) with 6 to 30 cities. The subject's solutions were either optimal or near-optimal in length and were produced in a time that was, on average, a linear function of the number of cities. Next, the performance of the subjects is compared with that of five representative artificial intelligence and operations research algorithms, that produce approximate solutions for Euclidean problems. None of these algorithms was found to be an adequate psychological model. Finally, we present a new algorithm for solving the TSP, which is based on a hierarchical pyramid architecture. The performance of this new algorithm is quite similar to the performance of the subjects. Reprinted by permission of the publisher.