The problem of pedestrians trying to enter and/or advance against an incoming crowd is studied. The analysis shows that starting with a very limited set of assumptions (elliptical cross-section of pedestrians; constant ratio of forward to lateral separation) one is able to derive from purely kinematic considerations critical densities beyond which it is impossible for pedestrians to enter and/or advance into an incoming crowd. The results obtained indicate that for the common pedestrian size of , , the limit densities range from Failed to parse (syntax error): \rho = O(5.0 – 6.06) [p/m^2] , in good agreement with empirical observations.
Published on 01/01/2014
DOI: 10.1016/j.trpro.2014.09.039
Licence: CC BY-NC-SA license
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