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==Abstract== | ==Abstract== | ||
− | 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 <math>a = 0.5 m</math>, <math>b = 0.3 m</math>, the limit densities range from <math>\rho = O(5.0 | + | 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 <math>a = 0.5 m</math>, <math>b = 0.3 m</math>, the limit densities range from <math>\rho = O(5.0 - 6.06) [p/m^2]</math>, in good agreement with empirical observations. |
==Full Document== | ==Full Document== | ||
<pdf>Media:Draft_Samper_862769414_1672_1-s2.0-S2352146514000751-main.pdf</pdf> | <pdf>Media:Draft_Samper_862769414_1672_1-s2.0-S2352146514000751-main.pdf</pdf> |
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 , 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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