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      Modeling rationality to control self-organization of crowds: An environmental approach

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          Abstract

          In this paper we propose a classification of crowd models in built environments based on the assumed pedestrian ability to foresee the movements of other walkers. At the same time, we introduce a new family of macroscopic models, which make it possible to tune the degree of predictiveness (i.e., rationality) of the individuals. By means of these models we describe both the natural behavior of pedestrians, i.e., their expected behavior according to their real limited predictive ability, and a target behavior, i.e., a particularly efficient behavior one would like them to assume (for, e.g., logistic or safety reasons). Then we tackle a challenging shape optimization problem, which consists in controlling the environment in such a way that the natural behavior is as close as possible to the target one, thereby inducing pedestrians to behave more rationally than what they would naturally do. We present numerical tests which elucidate the role of rational/predictive abilities and show some promising results about the shape optimization problem.

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          Author and article information

          Journal
          2014-06-27
          2015-01-07
          Article
          1406.7246
          66abef5e-e9e6-46a2-9f7b-8ccab4784511

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          35L65, 49N90, 49Q10, 91D10
          SIAM J. Appl. Math., 2015
          math.OC

          Numerical methods
          Numerical methods

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