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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Published in:Memory & Cognition Vol. 28; no. 7; pp. 1191 - 1205
Main Authors: Graham, Scott M., Joshi, Anupam, Pizlo, Zygmunt
Format: Article
Published: Springer Science & Business Media B.V. October 2000
Subjects:
Online Access:View this record in EBSCOhost
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          Graham, Scott M.
          Joshi, Anupam
          Pizlo, Zygmunt
      su:
        Artificial intelligence
        Problem solving
        Human information processing
      sug:
        subj:
          Artificial intelligence
          Problem solving
          Human information processing
      ab: 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.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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