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Establishing theoretical foundation of optimal evacuation planning based on dynamic networkflows

Research Project

Project/Area Number 19H04068
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 60010:Theory of informatics-related
Research InstitutionUniversity of Hyogo

Principal Investigator

Katoh Naoki  兵庫県立大学, 情報科学研究科, 教授 (40145826)

Co-Investigator(Kenkyū-buntansha) 東川 雄哉  兵庫県立大学, 情報科学研究科, 准教授 (20749486)
瀧澤 重志  大阪公立大学, 大学院生活科学研究科, 教授 (40304133)
藤江 哲也  兵庫県立大学, 情報科学研究科, 教授 (40305678)
照山 順一  兵庫県立大学, 情報科学研究科, 准教授 (40709862)
Project Period (FY) 2019-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥17,290,000 (Direct Cost: ¥13,300,000、Indirect Cost: ¥3,990,000)
Fiscal Year 2022: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2021: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2020: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000)
Keywords最速避難流問題 / 最適避難施設配置問題 / 動的ネットワークフロー / 不確定的状況下での最適化 / 数理最適化問題 / 動的フローネットワーク / 汎用的数理計画モデル
Outline of Research at the Start

各頂点に避難者数,各辺に容量と時間が与えられた無向グラフ上で定義される動的ネットワークフローは,ネットワーク各所での横断時間や滞留時間を表現できるので,実際の災害において重大な問題である交通渋滞による避難時間の遅延を直接的に扱うことができる.本研究では,特に重要だと考えられる最速避難流問題と最適避難施設配置問題について,災害発生時の避難者分布や道路閉塞状況の不確定要素を考慮に入れるなど,より現実の問題設定に沿う最適化問題として定式化した上で,問題の組合せ構造を解明して,それに基づく高速アルゴリズムの開発を目指す.また,線形計画・整数計画などによる汎用的な定式化の可能性を同時に探る.

Outline of Final Research Achievements

The aim of this study is to establish a theoretical foundation for applying the framework of dynamic network flow to real-world evacuation plans. Dynamic network flow can represent traversal times and dwell times in road networks, making it possible to directly address delays in evacuation times caused by traffic congestion, which is a critical issue in actual disaster evacuations.
In this study, we focused on the crucial problems of evacuation planning, specifically the quickest transshipment problem and the optimal evacuation facility location problem. We formulated these as optimization problems that align more closely with real-world scenarios by considering the extension of the network class in question and the uncertainties in evacuee distribution during disasters. We successfully elucidated the combinatorial structure of these problems and developed fast polynomial-time algorithms based on this understanding.

Academic Significance and Societal Importance of the Research Achievements

これまで,避難計画に対して多くの研究がなされているが,実応用を目指す研究はシミュレーションを用いる定性的アプローチが中心である一方,理論研究の多くは現実への適用を真には考慮できていない.本研究は,現実の避難計画を策定するための理論基盤構築を目指している点で,世界的に類を見ない独自性を有している.

Report

(5 results)
  • 2023 Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • Research Products

    (37 results)

All 2023 2022 2021 2020 2019 Other

All Int'l Joint Research (6 results) Journal Article (7 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 7 results,  Open Access: 4 results) Presentation (23 results) (of which Int'l Joint Research: 5 results,  Invited: 2 results) Book (1 results)

  • [Int'l Joint Research] University of Lethbridge(カナダ)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] 西安交通大学(中国)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Simon Fraser University/University of Lethbridge(カナダ)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Simon Fraser University/University of Lethbridge(カナダ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Simon Fraser University/University of Lethbridge(カナダ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] 香港科技大学(中国)

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Almost linear time algorithms for minsum k-sink problems on dynamic flow path networks2021

    • Author(s)
      Yuya Higashikawa, Naoki Katoh, Junichi Teruyama, Koji Watase
    • Journal Title

      Theoretical Computer Science

      Volume: 873 Pages: 87-113

    • DOI

      10.1016/j.tcs.2021.05.003

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Locating evacuation centers optimally in path and cycle networks2021

    • Author(s)
      Robert Benkoczi, Binay Bhattacharya, Yuya Higashikawa, Tsunehiko Kameda, Naoki Katoh, Junichi Teruyama
    • Journal Title

      Proceedings of the 21th International Symposium on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS2021)

      Volume: OASIcs96

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Minmax Regret 1-Sink Location Problems on Dynamic Flow Path Networks with Parametric Weights2021

    • Author(s)
      Tetsuya Fujie, Yuya Higashikawa, Naoki Katoh, Junichi Teruyama, Yuki Tokuni
    • Journal Title

      Proceedings of the 15th International Conference and Workshops (WALCOM 2021)

      Volume: LNCS12635 Pages: 52-64

    • DOI

      10.1007/978-3-030-68211-8_5

    • ISBN
      9783030682101, 9783030682118
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Almost Linear Time Algorithms for Minsum k-Sink Problems on Dynamic Flow Path Networks2020

    • Author(s)
      Yuya Higashikawa, Naoki Katoh, Junichi Teruyama, Koji Watase
    • Journal Title

      Proceedings of the 14th Annual International Conference on Combinatorial Optimization and Applications (COCOA2020)

      Volume: LNCS12577 Pages: 198-213

    • DOI

      10.1007/978-3-030-64843-5_14

    • ISBN
      9783030648428, 9783030648435
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minsum k-Sink Problem on Path Networks2020

    • Author(s)
      Robert Benkoczi, Binay Bhattacharya, Yuya Higashikawa, Tsunehiko Kameda, Naoki Katoh
    • Journal Title

      Theoretical Computer Science

      Volume: 806 Pages: 388-401

    • DOI

      10.1016/j.tcs.2019.05.047

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A Survey on Facility Location Problems in Dynamic Flow Networks2019

    • Author(s)
      Yuya Higashikawa, Naoki Katoh
    • Journal Title

      The Review of Socionetwork Strategies

      Volume: 13(2) Issue: 2 Pages: 163-208

    • DOI

      10.1007/s12626-019-00047-z

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Partitioning vertical evacuation areas in Umeda underground mall to minimize the evacuation completion time2019

    • Author(s)
      Ryo Yamamoto and Atsushi Takizawa
    • Journal Title

      The Review of Socionetwork Strategies

      Volume: 13(2) Issue: 2 Pages: 209-225

    • DOI

      10.1007/s12626-019-00037-1

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Presentation] 平均避難時間最小化フローを用いた緊急避難計画に関する研究2023

    • Author(s)
      増田 康佑,加藤 直樹,東川 雄哉
    • Organizer
      日本オペレーションズ・リサーチ学会 2023年春季研究発表会
    • Related Report
      2022 Annual Research Report
  • [Presentation] パス状の動的フローネットワークにおける混合避難問題2022

    • Author(s)
      石川 理紗,加藤 直樹,東川 雄哉,ベンコツィ ロバート
    • Organizer
      情報処理学会アルゴリズム研究会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 格子状の動的フローネットワークにおける避難施設配置問題2022

    • Author(s)
      照山 順一,戸國 友貴,西井 彩乃,東川 雄哉
    • Organizer
      情報処理学会アルゴリズム研究会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 移動時間と容量が一定である辺を持つ双方向グリッドネットワークにおける最速避難問題2022

    • Author(s)
      戸國 友貴,加藤 直樹,照山 順一,東川 雄哉
    • Organizer
      日本オペレーションズ・リサーチ学会 2022年秋季研究発表会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 南海トラフ巨大地震における大阪市の津波浸水想定域からの2次避難開始時刻の最適化2022

    • Author(s)
      田中 陽子,瀧澤 重志
    • Organizer
      日本建築学会大会学術講演梗概集(北海道)
    • Related Report
      2022 Annual Research Report
  • [Presentation] 南海トラフ巨大地震時の大阪市の津波浸水想定域からの二次避難開始時刻の最適化2022

    • Author(s)
      田中 陽子,瀧澤 重志
    • Organizer
      日本建築学会第45回情報・システム・利用・技術シンポジウム論文集
    • Related Report
      2022 Annual Research Report
  • [Presentation] 複数の出口を有する建物群から最速に退館するためのアルゴリズムの比較2022

    • Author(s)
      馬塲崇仁
    • Organizer
      建築情報学会 建築情報学生レビュー
    • Related Report
      2021 Annual Research Report
  • [Presentation] 南海トラフ巨大地震における大阪市の津波浸水想定域からの2次避難開始時刻の最適化2022

    • Author(s)
      田中陽子
    • Organizer
      建築情報学会 建築情報学生レビュー
    • Related Report
      2021 Annual Research Report
  • [Presentation] 複数の連結した建物群からの一斉退館時間を最小化する出口の領域分割方法2021

    • Author(s)
      馬塲崇仁,瀧澤重志
    • Organizer
      日本建築学会大会学術講演梗概集(東海)
    • Related Report
      2021 Annual Research Report
  • [Presentation] Locating evacuation centers optimally in path and cycle networks2021

    • Author(s)
      Robert Benkoczi, Binay Bhattacharya, Yuya Higashikawa, Tsunehiko Kameda, Naoki Katoh, Junichi Teruyama
    • Organizer
      21st Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Minmax Regret 1-Sink Location Problems on Dynamic Flow Path Networks with Parametric Weights2021

    • Author(s)
      Tetsuya Fujie, Yuya Higashikawa, Naoki Katoh, Junichi Teruyama, Yuki Tokuni
    • Organizer
      The 15th International Conference and Workshops on Algorithms and Computation (WALCOM 2021)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 2次避難者の避難所への割りあて2021

    • Author(s)
      瀧澤重志
    • Organizer
      第17回津波浸水域外での災害時避難所確保計画検討ワーキング
    • Related Report
      2020 Annual Research Report
  • [Presentation] 大阪市全体の南海トラフ大地震による2次避難所の地域割当の経過報告2020

    • Author(s)
      瀧澤重志
    • Organizer
      津波による浸水区域外における災害時避難所等の確保に向けた取り組み 第14回官学連携WG
    • Related Report
      2020 Annual Research Report
  • [Presentation] 複層階を有する教育施設からの利用者の一斉退館シミュレーション2020

    • Author(s)
      馬塲崇仁,瀧澤重志
    • Organizer
      日本建築学会大会学術講演(関東)
    • Related Report
      2020 Annual Research Report
  • [Presentation] Almost Linear Time Algorithms for Minsum k-Sink Problems on Dynamic Flow Path Networks2020

    • Author(s)
      Yuya Higashikawa, Naoki Katoh, Junichi Teruyama, Koji Watase
    • Organizer
      The 14th International Conference Combinatorial Optimization and Applications (COCOA 2020)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 大阪市全域を対象とした2次避難所割りあて問題について:その22020

    • Author(s)
      瀧澤重志
    • Organizer
      津波による浸水区域外における災害時避難所等の確保に向けた取り組み 24区説明会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 避難者数が媒介変数に依存する最大後悔最小化1-シンク配置問題2020

    • Author(s)
      戸國友貴,加藤直樹,照山順一,東川雄哉,藤江哲也
    • Organizer
      オペレーションズ・リサーチ学会 2020年春季研究発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 避難者数が媒介変数に依存する最大後悔最小化1-シンク配置問題2020

    • Author(s)
      戸國友貴,加藤直樹,照山順一,東川雄哉,藤江哲也
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Related Report
      2019 Annual Research Report
  • [Presentation] シミュレーションと最適化による都市スケールの避難計画の支援技術2019

    • Author(s)
      瀧澤重志
    • Organizer
      「震災対策技術展」大阪 -自然災害対策技術展-
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] シミュレーションと最適化による大阪市を対象とした避難計画支援技術2019

    • Author(s)
      瀧澤重志
    • Organizer
      日本オペレーションズ・リサーチ学会「危機管理と社会とOR」研究部会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] An Improved Algorithm for Minsum k-Sink Problems on Dynamic Flow Path Networks2019

    • Author(s)
      Y. Higashikawa
    • Organizer
      The 30th European Conference on Operational Research (EURO 2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Optimizing Evacuation and Return Routes on Tsunami Disaster in Osaka City2019

    • Author(s)
      Atsushi Takizawa, Yutaka Kawagishi
    • Organizer
      The 5th International Workshop on Innovative Algorithms for Big Data
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 大阪市における南海トラフ地震に起因する津波からの最速避難計画手法2019

    • Author(s)
      瀧澤重志,川岸裕
    • Organizer
      日本建築学会第42回情報・システム・利用・技術シンポジウム
    • Related Report
      2019 Annual Research Report
  • [Book] Sublinear Computation Paradigm: Algorithmic Revolution in the Big Data Era2021

    • Author(s)
      N. Katoh, Y. Higashikawa, H. Ito, A. Nagao, T. Shibuya, A. Sljoka, K. Tanaka and Y. Uno
    • Total Pages
      418
    • Publisher
      Springer Singapore
    • ISBN
      9789811640940
    • Related Report
      2021 Annual Research Report

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Published: 2019-04-18   Modified: 2025-01-30  

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