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Dynamical transitions in peak elevator traffic

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  • Nagatani, Takashi

Abstract

We study the dynamical phase transitions in the elevator traffic during the morning peak period. We apply the coupled nonlinear map model to the dynamics of M elevators. We investigate the effect of elevator's number M on the dynamical transition. It is shown that the dynamical transitions occur at two stages. The first transition occurs when an elevator carries the full load of passengers. Then, the second transition occurs if all the elevators carry the full load of passengers. The number of riding passengers fluctuates with varying trips. This is due to the deterministic chaos. The motions of elevators depend on the loading parameter, the maximum capacity of an elevator, and the number of elevators. The dependence of the first and second transition points on the elevator's number M is shown.

Suggested Citation

  • Nagatani, Takashi, 2004. "Dynamical transitions in peak elevator traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 441-452.
    • Handle: RePEc:eee:phsmap:v:333:y:2004:i:c:p:441-452
    DOI: 10.1016/j.physa.2003.10.001
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    Cited by:

    1. Tanida, Sakurako, 2022. "The synchronization of elevators when not all passengers will ride the first-arriving elevator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    2. Carlos Gershenson & Luis A Pineda, 2009. "Why Does Public Transport Not Arrive on Time? The Pervasiveness of Equal Headway Instability," PLOS ONE, Public Library of Science, vol. 4(10), pages 1-15, October.

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