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Some Tours are More Equal than Others: The Convex-Hull Model Revisited with Lessons for Testing Models of the Traveling Salesperson Problem

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dc.creator Tak, Susanne
dc.creator Plaisier, Marco
dc.creator van Rooij, Iris
dc.date 2008-07-24T13:25:55Z
dc.date.accessioned 2015-07-24T14:18:15Z
dc.date.available 2015-07-24T14:18:15Z
dc.identifier http://docs.lib.purdue.edu/jps/vol2/iss1/2
dc.identifier http://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=1028&context=jps
dc.identifier.uri http://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=1028&context=jps
dc.identifier.uri http://evidence.thinkportal.org/handle/123456789/25615
dc.description To explain human performance on the Traveling Salesperson problem (TSP), MacGregor, Ormerod, and Chronicle (2000) proposed that humans construct solutions according to the steps described by their convex-hull algorithm. Focusing on tour length as the dependent variable, and using only random or semirandom point sets, the authors claimed empirical support for their model. In this paper we argue that the empirical tests performed by MacGregor et al. do not constitute support for the model, because they instantiate what Meehl (1997) coined "weak tests" (i.e., tests with a high probability of yielding confi rmation even if the model is false). To perform "strong" tests of the model, we implemented the algorithm in a computer program and compared its performance to that of humans on six point sets. The comparison reveals substantial and systematic differences in the shapes of the tours produced by the algorithm and human participants, for fi ve of the six point sets. The methodological lesson for testing TSP models is twofold: (1) Include qualitative measures (such as tour shape) as a dependent variable, and (2) use point sets for which the model makes “risky” predictions.
dc.format application/pdf
dc.publisher Purdue University
dc.source The Journal of Problem Solving
dc.title Some Tours are More Equal than Others: The Convex-Hull Model Revisited with Lessons for Testing Models of the Traveling Salesperson Problem
dc.type Article


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