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Modeling and controlling congestion caused by a bottleneck in an overcrowded aquarium

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  • Kawaguchi, Riho
  • Yanagisawa, Daichi
  • Feliciani, Claudio
  • Nozaki, Shigeto
  • Abe, Yukari
  • Mita, Makiko
  • Nishinari, Katsuhiro

Abstract

In this study, we modeled a crowded aquarium using a modified totally asymmetric simple exclusion process and propose a new ticketing system with optimized input rates. We performed a case study for Kaiyukan, a large-scale aquarium in Japan, which encounters heavy congestion primarily caused by a bottleneck in the visitor traffic flow. Kaiyukan has a simple structure and is distinct in that visitors walk through a fixed one-way aisle, as opposed to a typical museum or aquarium layout where visitors can move freely through open areas. We investigated basic congestion features caused by the bottleneck using theoretical analysis and numerical simulations, and developed a new indicator to estimate congestion. Using the model and indicator, we developed a novel ticketing system designed to reduce congestion while preserving the maximum flow. The proposed system includes a 30 min break and indicated a better performance than the conventional method of aiming to maintain a constant input rate. The results indicate that Kaiyukan can reduce the number of visitors waiting and maintain its current daily attendance by introducing our ticketing system.

Suggested Citation

  • Kawaguchi, Riho & Yanagisawa, Daichi & Feliciani, Claudio & Nozaki, Shigeto & Abe, Yukari & Mita, Makiko & Nishinari, Katsuhiro, 2023. "Modeling and controlling congestion caused by a bottleneck in an overcrowded aquarium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    • Handle: RePEc:eee:phsmap:v:615:y:2023:i:c:s0378437123001024
    DOI: 10.1016/j.physa.2023.128547
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    References listed on IDEAS

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    1. Alessandro Attanasio & Maurizio Maravalle & Henry Muccini & Fabrizio Rossi & Gianluca Scatena & Francesco Tarquini, 2022. "Visitors flow management at Uffizi Gallery in Florence, Italy," Information Technology & Tourism, Springer, vol. 24(3), pages 409-434, September.
    2. Ezaki, Takahiro & Yanagisawa, Daichi & Nishinari, Katsuhiro, 2015. "Dynamics of assembly production flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 62-73.
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