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1996 Fiscal Year Final Research Report Summary

On Some Transportation Management Problems for Ensuring Stable Network Equilibria

Research Project

Project/Area Number 07455204
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field 交通工学・国土計画
Research InstitutionTOYOHASHI UNIVERSITY OF TECHNOLOGY

Principal Investigator

AKAMATSU Takashi  Toyohashi University of Technology, Knowledge-based Information Engineering, Associate Professor, 工学部, 助教授 (90262964)

Project Period (FY) 1995 – 1996
KeywordsTransportation Network / Equilibrium Assignment / Non-saturated Flow / Traffic Capacity Design / Congestion Toll / Optimal Network / Location / Variational Ineguality
Research Abstract

This study proposes a framework for designing / managing transportation networks based on the concept of "stable equilibria" which means that the transportation demand and supply equilibrate within non-saturated region. To consider a policy that ensures the stable equilibria, we first define the following three transportation design / management problems : 1) Upward-shift of transportation performance curves (= "Congestion toll problem"), 2) Right-shift of transportation performance curves (= "Capacity-increase problem"), 3) Downward-shift of transportation demand curves (= "Feasible location problems"). Then, mathematical formulations and analyzes for these respective problems are presented. For the first problem, we first analyze the model under the assumption that network flow pattern is described as the stochastic equilibrium assignment with fixed demand, and it is generalized for the elastic demand case. Our analyzes disclose that the problem can be cast into an equivalent optimiz … More ation problem, and the non-uniqueness of the solution is shown. By using the optimization representation, we develop an efficient algorithm for obtaining the congestion toll pattern in large scale networks. The second problem is found to be solved by a certain network transformation with piece-wise link cost function. The technique reduces the capacity-increase problem to a standard equilibrium assignment, and it enable us to develop solution algorithms for large scale networks. The uniqueness of the capacity-increase pattern is also proved. As for the third problem, we first consider the problem of obtaining the critical OD demand level under the equilibrium condition. The model is then extended to the problem of obtaining a feasible residential / firm location pattern under the transportation-location equilibrium. We find that these problems can be converted into Wardrop equilibrium assignment with fixed demand under the link-capacity conditions. We discuss the non-uniqueness property of the solution, and an efficient method for selecting the unique solution is developed. Less

  • Research Products

    (18 results)

All Other

All Publications (18 results)

  • [Publications] 赤松隆: "安定的な均衡解を保証するための3つの交通施策問題" 土木計画学研究・講演集. 17. 423-426 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 赤松隆: "交通均衡モデルとネットワーク最大容量" 土木計画学研究・講演集. 17. 415-418 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 赤松隆: "利用者均衡条件下での交通ネットワーク最大容量問題" 土木計画学研究・論文集. 12. 719-730 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 赤松隆: "確率的均衡配分に対する2つのアプローチ" 最適化:モデリングとアルゴリズム. 7. 46-65 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 赤松隆: "Nested LOGIT型交通・立地統合均衡モデルの厳密解法" 土木計画学研究・講演集. 18. 661-664 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Akamatsu: "Cyclic Flow, Markov Process and Stochastic Traffic Assignment" Transportation Research Part B. 30・5. 369-386 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 赤松隆: "Nested LOGIT型交通・住居立地統合均衡モデルとその効率的解法" 土木計画学研究・論文集. 13. 279-288 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 赤松隆: "交通・立地均衡条件下での最大オフィス立地容量" 土木計画学研究・講演集. 19. 367-370 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 赤松隆: "複素数空間で経路の幾何学要因を考慮した確率的交通配分" 土木計画学研究・講演集. 19. 553-556 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Akamatsu: "Three Transportation Management Problems for Ensuring Stable Network Equilibria" Proc.of Infrastructure Planning. 17. 423-426 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akamatsu: "Transportation Equilibrium Assignment and Network Capacity" Proc.of Infrastructure Planning. 17. 415-418 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akamatsu: "Maximum Network Capacity Problem under the Transportation Equilibrium Assignment" Infrastructure Planning Review. 12. 719-729 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akamatsu: "Two Approaches for Stochastic Traffic Equilibrium Assignment" Optimization : Modeling and Algorithms. 7. 46-65 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akamatsu: "Nested LOGIT type Combined Residential-Location and Transportation Network Equilibrium Models" Proc.of Infrastructure Planning. 18. 661-664 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akamatsu: "Cyclic Flow, Markov Process and Stochastic Traffic Assignment" Transportation Research Part B. 30 (5). 369-386 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akamatsu: "Efficient Algorithms for Solving Nested LOGIT type Combined Residential-Location and Transportation Network Equilibrium Models" Infrastructure Planning Review. 13. 279-287 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akamatsu: "Feasible Office-Location Patterns which Ensure the Existence of the Combined Transportation Network and Residential Location Equilibrium" Proc.of Infrastructure Planning. 19. 367-370 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akamatsu: "The Treatment of Cycle Flows in the Markov Chain Stochastic Traffic Assignment" Proc.of Infrastructure Planning. 19. 553-556 (1996)

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

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Published: 1999-03-09  

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