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An Approximate Solution ofρ-nodes Problem with Barriers

Research Project

Project/Area Number 21560633
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Town planning/Architectural planning
Research InstitutionThe University of Tokyo

Principal Investigator

IMAI Kotaro  東京大学, 生産技術研究所, 准教授 (20262123)

Co-Investigator(Renkei-kenkyūsha) FUJII Akira  東京大学, 生産技術研究所, 教授 (20126155)
HASHIMOTO Kenichiro  東京大学, 生産技術研究所, 助手 (40361646)
Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2011: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2010: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2009: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords都市 / 地域計画 / 多点ウェーバー問題 / 障害付きボロノイ図 / ドローネ網 / 迂回距離 / 最短経路距離 / ダイクストラ法 / 障害付ボロノイ図
Research Abstract

The purpose of The purpose of The purpose of The purpose of The purpose of The purpose of The purpose of The purpose of The purpose of The purpose of The purpose of The purpose of The purpose of The purpose of this research is to develop an approximate solution ofρ-nodes problem with barriers. By measuring the shortest-path distances of a random Delaunay network, we provide the method to convert Multi-Weber Problem with Barriers into practicalρ-median/center problem on discrete networks. And, we verify that several simple model problems can be solved by this method. Moreover, we solved Automated External Defibrillator's Locations in Komaba II Research Campus of the University of Tokyo, as a sample Multi-Weber Problem with free-shaped obstacles.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (7 results)

All 2010 2009

All Journal Article (4 results) (of which Peer Reviewed: 2 results) Presentation (3 results)

  • [Journal Article] 障害付き距離に関する研究(その3)障害付き多点ウェーバー問題の近似解法2010

    • Author(s)
      今井公太郎, 藤井明, 松田聡平, 新井祟俊, 上杉昌史
    • Journal Title

      日本建築学会大会(北陸)学術講演梗概集

      Pages: 1021-1022

    • URL

      http://ci.nii.ac.jp/naid/110008113099/

    • Related Report
      2011 Final Research Report
  • [Journal Article] 障害付距離に関する研究(そ0)3)障害付多点ウェーバー問題の近似解法2010

    • Author(s)
      今井公太郎・藤井明
    • Journal Title

      2010年度日本建築学会大会(北陸)学術講演梗概集

      Pages: 1021-1022

    • Related Report
      2010 Annual Research Report
  • [Journal Article] 障害付多点ウェーバー問題の近似解法-大学キャンパスにおけるAED配置のスタディ-2009

    • Author(s)
      今井公太郎・藤井明
    • Journal Title

      都市計画論文集

      Volume: 44巻 Pages: 805-810

    • NAID

      10025845269

    • URL

      http://ci.nii.ac.jp/naid/10025845269/

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 障害付多点ウェーバー問題の近似解法-大学キャンパスにおけるAED配置のスタディ-2009

    • Author(s)
      今井公太郎・藤井明
    • Journal Title

      都市計画論文集 44

      Pages: 805-810

    • NAID

      10025845269

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] 障害付き距離に関する研究(その3)障害付き多点ウェーバー問題の近似解法2010

    • Author(s)
      今井公太郎,藤井明,松田聡平,新井祟俊,上杉昌史
    • Organizer
      日本建築学会大会(北陸)
    • Place of Presentation
      富山大学
    • Year and Date
      2010-09-11
    • Related Report
      2011 Final Research Report
  • [Presentation] 障書付距離に関する研究(その3)障害付多点ウェーバー問題の近似解法2010

    • Author(s)
      今井公太郎・藤井明・松田聡平・新井崇俊・上杉昌史
    • Organizer
      日本建築学会人会(北陸)学術講演
    • Place of Presentation
      富山大学
    • Year and Date
      2010-09-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] 障害付多点ウェーバー問題の近似解法-大学キャンパスにおけるAED配置のスタディ-2009

    • Author(s)
      今井公太郎・藤井明
    • Organizer
      都市計画学会
    • Place of Presentation
      長岡技術科学大学
    • Year and Date
      2009-11-15
    • Related Report
      2011 Final Research Report 2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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