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The synchronization of elevators when not all passengers will ride the first-arriving elevator

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  • Tanida, Sakurako

Abstract

The cluster motion of busy multiple elevators is considered to be one of the synchronization phenomena of autonomous oscillators. In this study, we used numerical simulations to quantitatively explore differences in the elevators’ dynamics during down peaks under isolated and coupled conditions. We introduced the proportion of passengers who are set to ride the first-arriving elevator as a control parameter and investigated the behaviors of elevators when the proportions of those passengers and the inflow of passengers were varied. When we increased the inflow of passengers, the synchronization was promoted and the round-trip time increased. On the other hand, when we increased the proportion of those passengers, the synchronization was promoted while the round-trip time decreased. To elucidate the relationship between the parameters and dynamics and clarify the mechanism, we established simple mathematical models; First, we reproduced the round-trip time by a self-consistent equation considering the inflow of passengers and the proportion of passengers set to ride the first-arriving elevator. Then, we estimated an order parameter of the synchronization.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:605:y:2022:i:c:s0378437122006057
    DOI: 10.1016/j.physa.2022.127957
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    References listed on IDEAS

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    1. Z. Néda & E. Ravasz & Y. Brechet & T. Vicsek & A.-L. Barabási, 2000. "The sound of many hands clapping," Nature, Nature, vol. 403(6772), pages 849-850, February.
    2. Nagatani, Takashi & Tobita, Kazuhiro, 2012. "Effect of periodic inflow on elevator traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4397-4405.
    3. Steven M. Reppert & David R. Weaver, 2002. "Coordination of circadian timing in mammals," Nature, Nature, vol. 418(6901), pages 935-941, August.
    4. Nagatani, Takashi, 2004. "Dynamical transitions in peak elevator traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 441-452.
    5. Nagatani, Takashi, 2015. "Complex motion induced by elevator choice in peak traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 159-169.
    6. Nagatani, Takashi, 2002. "Dynamical behavior in the nonlinear-map model of an elevator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(1), pages 67-77.
    7. Nagatani, Takashi, 2016. "Effect of stopover on motion of two competing elevators in peak traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 613-621.
    8. Nagatani, Takashi, 2003. "Complex behavior of elevators in peak traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 326(3), pages 556-566.
    9. Leon Glass, 2001. "Synchronization and rhythmic processes in physiology," Nature, Nature, vol. 410(6825), pages 277-284, March.
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