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A comparison of human performance in figural and navigational versions of the traveling salesman problem

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Abstract

Performance on a typical pen-and-paper (figural) version of the Traveling Salesman Problem was compared to performance on a room-sized navigational version of the same task. Nine configurations were designed to examine the use of the nearest-neighbor (NN), cluster approach, and convex-hull strategies. Performance decreased with an increasing number of nodes internal to the hull, and improved when the NN strategy produced the optimal path. There was no overall difference in performance between figural and navigational task modalities. However, there was an interaction between modality and configuration, with evidence that participants relied more heavily on the NN strategy in the figural condition. Our results suggest that participants employed similar, but not identical, strategies when solving figural and navigational versions of the problem. Surprisingly, there was no evidence that participants favored global strategies in the figural version and local strategies in the navigational version.

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References

  • Best, B. J. (2006). Modeling human performance on the traveling salesman problem: empirical studies and computational simulations. USA: ProQuest Information and Learning.

    Google Scholar 

  • Blaser, R., & Ginchansky, R. (2012). Route selection by rats and humans in a navigational traveling salesman problem. Animal Cognition, 15(2), 239–250.

    Article  PubMed  Google Scholar 

  • Bures, J., Buresova, O., & Nerad, L. (1992). Can rats solve a simple version of the traveling salesman problem? Behavioural Brain Research, 52(2), 133–142.

    Article  PubMed  Google Scholar 

  • Cramer, A., & Gallistel, C. (1997). Vervet monkeys as travelling salesmen. Nature, 387, 464.

    Article  PubMed  Google Scholar 

  • Gärling, T. (1989). The role of cognitive maps in spatial decisions. Journal of Environmental Psychology, 9(4), 269–278.

    Article  Google Scholar 

  • Gibson, B. M., Wasserman, E. A., & Kamil, A. C. (2007). Pigeons and people select efficient routes when solving a one-way ‘traveling salesperson’ task. Journal of Experimental Psychology: Animal Behavior Processes, 33(3), 244–261.

    Article  PubMed  Google Scholar 

  • Gibson, B., Wilkinson, M., & Kelly, D. (2012). Let the pigeon drive the bus: pigeons can plan future routes in a room. Animal Cognition, 15(3), 379–391.

    Article  PubMed  Google Scholar 

  • Golden, B., Bodin, L., Doyle, T., & Stewart, W, Jr. (1980). Approximate traveling salesman algorithms. Operations Research, 28(3 Part-II), 694–711.

    Article  Google Scholar 

  • Graham, S. M., Joshi, A., & Pizlo, Z. (2000). The traveling salesman problem: a hierarchical model. Memory Cognition, 28(7), 1191–1204.

    Article  PubMed  Google Scholar 

  • Kong, X., & Schunn, C. D. (2007). Global vs. local information processing in visual/spatial problem solving: the case of traveling salesman problem. Cognitive Systems Research, 8(3), 192–207.

    Article  Google Scholar 

  • MacGregor, J. N., Chronicle, E. P., & Ormerod, T. C. (2004). Convex hull or crossing avoidance? Solution heuristics in the traveling salesperson problem. Memory Cognition, 32(2), 260–270.

    Article  PubMed  Google Scholar 

  • MacGregor, J. N., & Chu, Y. (2011). Human performance on the traveling salesman and related problems: a review. The Journal of Problem Solving, 3(2), 1–29. (article 2).

    Article  Google Scholar 

  • MacGregor, J. N., & Ormerod, T. (1996). Human performance on the traveling salesman problem. Perception and Psychophysics, 58(4), 527–539.

    Article  PubMed  Google Scholar 

  • MacGregor, J. N., & Ormerod, T. C. (2000). Evaluating the importance of the convex hull in solving the Euclidean version of the traveling salesperson problem: reply to Lee and Vickers. Perception and Psychophysics, 62(7), 1501–1503.

    Article  PubMed  Google Scholar 

  • MacGregor, J. N., Ormerod, T. C., & Chronicle, E. P. (1999). Spatial and contextual factors in human performance on the traveling salesperson problem. Perception, 28, 1417–1427.

    Article  PubMed  Google Scholar 

  • MacGregor, J. N., Ormerod, T. C., & Chronicle, E. P. (2000). A model of human performance on the traveling salesperson problem. Memory Cognition, 28(7), 1183–1190.

    Article  PubMed  Google Scholar 

  • Menzel, E. W. (1973). Chimpanzee spatial memory organization. Science, 182(4115), 943–945.

    Article  PubMed  Google Scholar 

  • Miyata, H., & Fujita, K. (2010). Route selection by pigeons (Columba livia) in “traveling salesperson” navigation tasks presented on an LCD screen. Anglais, 124(4), 433–446.

    Google Scholar 

  • Miyata, H., Ushitani, T., Adachi, I., & Fujita, K. (2006). Performance of pigeons (Columba livia) on maze problems presented on the LCD screen: in search for preplanning ability in an avian species. Anglais, 120(4), 358–366.

    Google Scholar 

  • Montello, D. (1993). Scale and multiple psychologies of space. Spatial information theory a theoretical basis for GIS. In: A. Frank, I. Campari (Eds.), Lecture notes in computer science vol 716. (pp. 312–321). Berlin/Heidelberg: Springer. doi:10.1007/3-540-57207-4_21.

  • Ormerod, T. C., & Chronicle, E. P. (1999). Global perceptual processing in problem solving: the case of the traveling salesperson. Perception and Psychophysics, 61(6), 1227–1238.

    Article  PubMed  Google Scholar 

  • Pizlo, Z., Stefanov, E., Saalweachter, J., Li, Z., Haxhimusa, Y., & Kropatsch, W. G. (2006). Traveling salesman problem: a foveating pyramid model. Journal of Problem Solving, 1, 83–101.

    Google Scholar 

  • Rosenkrantz, D. J., Stearns, R. E., Lewis, P. M., & Ii, (1977). An analysis of several heuristics for the traveling salesman problem. SIAM Journal on Computing, 6(3), 563–581.

    Article  Google Scholar 

  • Vickers, D., Butavicius, M., Lee, M., & Medvedev, A. (2001). Human performance on visually presented traveling salesman problems. Psychological Research (Psychologische Forschung), 65(1), 34–45.

    Article  Google Scholar 

  • Vickers, D., Lee, M. D., Dry, M., & Hughes, P. (2003). The roles of the convex hull and the number of potential intersections in performance on visually presented traveling salesperson problems. Memory Cognition, 31(7), 1094–1104.

    Article  PubMed  Google Scholar 

  • Wiener, J.M., Ehbauer, N.N., Mallot, H.A. (2007). Path planning and optimization in the traveling salesman problem: nearest neighbor vs. region-based strategies. Schloss Dagstuhl—Leibniz-Zentrum für Informatik, 10(2), 143–161.

    Google Scholar 

  • Wiener, J. M., Ehbauer, N. N., & Mallot, H. A. (2009). Planning paths to multiple targets: memory involvement and planning heuristics in spatial problem solving. Psychological Research (Psychologische Forschung), 73(5), 644–658.

    Article  Google Scholar 

  • Wiener, J., & Mallot, H. (2003). Fine-to-coarse route planning and navigation in regionalized environments. Spatial Cognition and Computation, 3(4), 331–358.

    Article  Google Scholar 

  • Wiener, J. M., Schnee, A., & Mallot, H. A. (2004). Use and interaction of navigation strategies in regionalized environments. Journal of Environmental Psychology, 24, 475–493.

    Article  Google Scholar 

  • Wiener, J., Tenbrink, T. (2008). Traveling salesman problem: the human case. KI: Themenheft KI und Kognition, 1(8), 18–22.

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Authors and Affiliations

  1. Department of Psychology, University of San Diego, 5998 Alcala Park, San Diego, CA, 92110, USA

    R. E. Blaser & Julie Wilber

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  1. R. E. Blaser
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  2. Julie Wilber
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Correspondence to R. E. Blaser.

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Blaser, R.E., Wilber, J. A comparison of human performance in figural and navigational versions of the traveling salesman problem. Psychological Research 77, 761–772 (2013). https://doi.org/10.1007/s00426-012-0470-8

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