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2001 Fiscal Year Final Research Report Summary

Mathematical and Quantitative Research on Facility Location and Traffics in Big Cities

Research Project

Project/Area Number 11480091
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field 社会システム工学
Research InstitutionNanzan University (2000-2001)
The University of Tokyo (1999)

Principal Investigator

FUSHIMI Masanori  Nanzan University, Department of Mathematical Sciences, Professor, 数理情報学部, 教授 (70008639)

Co-Investigator(Kenkyū-buntansha) TAGUCHI Azuma  Chuo University, Faculty of Science And Engineering, Professor, 理工学部, 助教授 (50114533)
OYAMA Tatsuo  National Graduate Research Institute for Polity Studies, Professor, 政策科学研究科, 教授 (30134323)
KOSHIZUKA Takeshi  University of Tsukuba, Institute of Socio-Economic Planning, Professor, 社会工学系, 教授 (50011094)
MIURA Hidetoshi  Meikai University, Faculty of Real Estate, Lecturer, 不動産学部, 講師 (30306253)
KURITA Osamu  Keio University, Faculty of Scienco and Engineering, Associate Profossor, 理工学部, 助教授 (40211891)
Project Period (FY) 1999 – 2001
KeywordsTraffic System / Urban Planning / Facitily Location / Skyscraper / Operations Research
Research Abstract

1. Mathematical research on the planar traffics in big cities: We considered the traffics due to commuting and transportation of commodities in big cities with radial-circular road networks such as Tokyo, and with grid-type road networks such as Sapporo or Kyoto, and derived various characteristics mathematically. Based on these results, we calculated the area of roads necessary to avoid traffic congestions, and optimal allocation of working areas and residential areas. Moreover, we have compared these theoretical results with real data obtained in Tokyo.
2. Analysis of traveling time within/between skyscrapers, and efficient allocation of office areas and traffic areas in skyscrapers: We considered elevators and escalators which play important roles for travels in skyscrapers, and investigated such problems as optimal zoning of elevators, optimal shape of skyscrapers with respect to the ratio of office areas and traffic areas. We also discussed the efficient allocation of office areas and traffic areas considering the travels among skyscrapers as well as within skyscrapers. Moreover, we collected data on the traveling time among skyscrapers in Shinjuku, which would be useful for verifying the validity of our mathematical models.
3. Evaluation of traffic networks connecting big cities: We have developed a method of evaluating the connectivity of big cities with road or railway networks using graph theory, and applied it to the road networks in Hokkaido and the Eurasian railway system. Our research will be useful for assessing prospective roads or railways.
4. Optimal allocation of public facilities: We investigated regional differences in allocations of public facilities such as very expensive medical equipments or welfare facilities for aged people, and discussed about mathematical method for allocating such facilities properly.

  • Research Products

    (27 results)

All Other

All Publications (27 results)

  • [Publications] 栗田 治: "多角形領域で一様に分布する点から固定点への直線距離D平均値と2次の積率-平均直線距離の等高線の描画法-"GIS-理論と応用. 9・1. 29-37 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 栗田 治: "省エネルギー直方体都市のプロポーション解析-砂漠の摩天楼シバームの数理-"日本建築学会計画系論文集. 544. 125-131 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 栗田 治: "円盤都市における道路パターンの理論-直線距離,直線距離ならびに放射・環状距離の分布-"都市計画論文集. 36. 859-894 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 田中健一: "放射・環状道路網を有する扇形都市平面上の通貨交通量の分布-渋滞のない都市設計のための道路面積の適正割り当て分析-"都市計画論文集. 36. 865-870 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 黒澤 俊: "オフィスビルのエレベータバンク構成に関する数理モデル-コンベンショナルゾーニング方式のための最適設計-"日本建築学会計画系論文集. 550. 135-142 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 腰塚武志: "都市領域における距離分布の導出とその応用"都市計画論文集. 36. 871-876 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 田村一軌: "道路ネットワーク上の道路距離と直線距離"都市計画論文集. 36. 877-882 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 島川陽一: "首都高速道路の環状線建設による交通渋滞の緩和予測"オペレーションズ・リサーチ. 46・3. 139-148 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 小林 亨: "交通路と居住地の配分を考慮した都市の立体構造の分析"Journal of the Operations Research Society of Japan. 44・3. 281-296 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 田口 東: "交通路面積を考慮に入れた高層建物の移動時間の評価"Journal of the Operations Research Society of Japan. 44・4. 326-343 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 大内正俊: "救急医療データを反映させた道路交通事故死者数推計のための決定ツリーの作成と救命可能人数の検討"日本交通科学協議会誌. 1・1. 29-37 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 三和雅史: "軌道状態推移予測モデルの構築と最適軌道保守計画作成のための全整数型数理計画モデル分析"土木学会論文集. 681. 51-65 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 水野和彦: "電力自由化後の最適電力供給体制に関する混合型整数計画モデル分析"オペレーションズ・リサーチ. 46・9. 495-503 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] 大山達雄: "「ネットワーク構造を有するライフラインシステムの危機管理体制に関する研究」報告書"(社)日本オペレーションズ・リサーチ学会. 182 (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] O. Kurita: "The average and the second moment of Euclidean distance from points uniformly distributed in a polygon to a fixed point -A way to draw the contours of the average Euclidean distance -"Theory and Applications of GIS. 9. 29-37 (2001)

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      「研究成果報告書概要(欧文)」より
  • [Publications] O. Kurita and T. Koshizuka: "Proportion analysis for energy-saving rectangular city - Mathematical evaluation of the proportion of Shibam, the skyscraper in desert -"J. Archit. Plann. Environ. Eng., AIJ. 544. 125-131 (2001)

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      「研究成果報告書概要(欧文)」より
  • [Publications] O. Kurita: "Theory of road patterns for a circular disk city - Distribution of Euclidean, rccti-linear, circular distances -"Proceedings of Urban Planning Soc.. 859-864 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Tanaka and O. Kurita: "Spatial distribution of traffic in a sector-shaped city under radial-arc routing system - An analysis on the optimum assignment of road area for designing a congestion-free city -"Proceedings of Urban Planning Soc.. 865-870 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Kurosawa and O. Kurita: "A mathematical model on design of banks of elevators in the office building - Optimal design for conventional zoning -"J. Archit. Plann. Environ. Eng., AIJ. 550. 135-142 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Koshizuka and S. Ohtsu: "Distance distribution in an arbitrary region and its application to the daily trip in Tokyo."Proceedings of Urban Planning Soc.. 871-876 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Tamura et al.: "Relationship between road distance and Euclidean distance on road networks."Proceedings of Urban Planning Soc.. 877-882 (2001)

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      「研究成果報告書概要(欧文)」より
  • [Publications] Shimakawa et al.: "Prediction of the relief of traffic congestion due to construction of additional circular road in the Tokyo metropolitan expressway system."Operations Research. 46. 139-148 (2001)

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      「研究成果報告書概要(欧文)」より
  • [Publications] T. Kobayashi and A. Taguchi: "A model for urban space allocation to transportation area and residential area."J. Operations Research Society of Japan. 44. 281-296 (2001)

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      「研究成果報告書概要(欧文)」より
  • [Publications] A. Taguchi and T. Koshizuka: "Traffic model including traffic area and calculation of travel time distribution for skyscrapers."J. Operations Research Society of Japan. 44. 326-343 (2001)

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      「研究成果報告書概要(欧文)」より
  • [Publications] M. Ohuchi et al.: "Development of a decision tree for road traffic accident fatalities and estimation of preventable deaths based upon emergency medical data."J. Japanese Council of Traffic Science. 1. 29-37 (2001)

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      「研究成果報告書概要(欧文)」より
  • [Publications] M. Miwa et al.: "Modeling the transition process of railway track irregularity and all integer mathematical programming model analyses for making optimal track maintenance schedule."J. Civil Engineering Soc.. 681/IV-52. 51-65 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Mizuno and T. Oyama: "Mixed integer mathematical programming analyses for optimal supply system of electricity after the liberalization of electric power."Operations Research. 46. 495-503 (2001)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2003-09-17  

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