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Partitioning Vertical Evacuation Areas in Umeda Underground Mall to Minimize the Evacuation Completion Time

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  • Ryo Yamamoto

    (Osaka City University)

  • Atsushi Takizawa

    (Osaka City University)

Abstract

When an underground mall is flooded, the shoppers should be evacuated to a building connected to the mall. However, the number of evacuees from a large-scale underground mall will exceed the capacity of the evacuation center. Furthermore, the evacuation time may be delayed. This paper proposes a mathematical programming problem that minimizes the evacuation completion time on a general planar graph of a partitioned evacuation area with a specified sink capacity. We also propose a workflow for translating the general geometric spatial data to graphical data. The problem is applied to the real spatial data and evacuation setting of Umeda underground mall in Osaka, Japan. The problem’s performance is compared with that of the conventional problem that minimizes the total evacuation distance, and its accuracy is confirmed in a multi-agent simulation. The validity of the proposed method is also discussed.

Suggested Citation

  • Ryo Yamamoto & Atsushi Takizawa, 2019. "Partitioning Vertical Evacuation Areas in Umeda Underground Mall to Minimize the Evacuation Completion Time," The Review of Socionetwork Strategies, Springer, vol. 13(2), pages 209-225, October.
    • Handle: RePEc:spr:trosos:v:13:y:2019:i:2:d:10.1007_s12626-019-00037-1
    DOI: 10.1007/s12626-019-00037-1
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    References listed on IDEAS

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    2. L. R. Ford & D. R. Fulkerson, 1958. "Constructing Maximal Dynamic Flows from Static Flows," Operations Research, INFORMS, vol. 6(3), pages 419-433, June.
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    Cited by:

    1. Xingxing Zhao & Dongjun Guo & Yulu Chen & Yanhua Wu & Xingping Zhu & Chunhui Du & Zhilong Chen, 2025. "Sustainable Comfort Design in Underground Shopping Malls: A User-Centric Analysis of Spatial Features," Sustainability, MDPI, vol. 17(6), pages 1-21, March.

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