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Algorithms for discrete optimization problems on network structures and their applications

Research Project

Project/Area Number 16K00001
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Theory of informatics
Research InstitutionHokkaido University

Principal Investigator

Ishii Toshimasa  北海道大学, 経済学研究院, 教授 (30324487)

Project Period (FY) 2016-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords組合せ最適化 / アルゴリズム / ネットワーク設計 / グラフ理論 / 離散最適化
Outline of Final Research Achievements

In modern society, we have many network structures such as communication networks, traffic networks, power grids, and VLSI. In this research, we focus on problems which appear on the design and control of such networks. By formalizing them as discrete optimization problems on graphs, we proposed several efficient algorithms for solving them and analyzed their computational complexities. Also, we extended these results, which may contribute to the analysis of other genearal problems.

Academic Significance and Societal Importance of the Research Achievements

現代社会において解決が求められる諸問題の中には, 通信網・交通網などネットワーク的構造を持つものが多くみられる.本研究では,特に,ネットワーク制御・設計に関するいくつかの問題に対して,効率的なアルゴリズムの開発や問題の困難さの解析を行った.これらの成果は基礎研究であり,直ちに実用化されるものではないが,近年,地震・台風等による自然災害が頻発する中,より安定的なネットワーク制御・設計のために寄与しうる研究と位置づけられる.

Report

(9 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (17 results)

All 2023 2022 2019 2018 2017 2016 Other

All Int'l Joint Research (4 results) Journal Article (8 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 8 results,  Open Access: 3 results) Presentation (5 results) (of which Int'l Joint Research: 3 results,  Invited: 1 results)

  • [Int'l Joint Research] Reykjavik University(アイスランド)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Reykjavik University(アイスランド)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Reykjavik University(アイスランド)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Reykjavik University(Iceland)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Trade-offs among degree, diameter, and number of paths2023

    • Author(s)
      Toshimasa Ishii, Akitoshi Kawamura, Yusuke Kobayashi, Kazuhisa Makino
    • Journal Title

      Discrete Applied Mathematics

      Volume: 327 Pages: 96-100

    • DOI

      10.1016/j.dam.2022.12.007

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Reallocation Problems with Minimum Completion Time2022

    • Author(s)
      Toshimasa Ishii, Jun Kawahara, Kazuhisa Makino, Hirotaka Ono
    • Journal Title

      Proceedings of the 28th International Conference on Computing and Combinatorics, COCOON 2022

      Volume: - Pages: 292-304

    • DOI

      10.1007/978-3-031-22105-7_26

    • ISBN
      9783031221040, 9783031221057
    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Posimodular Function Optimization2022

    • Author(s)
      Magnus M. Halldorsson, Toshimasa Ishii, Kazuhisa Makino, Kenjiro Takazawa
    • Journal Title

      Algorithmica

      Volume: 84 Issue: 4 Pages: 1107-1131

    • DOI

      10.1007/s00453-021-00910-y

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Settlement fund circulation problem2019

    • Author(s)
      Hitoshi Hayakawa, Toshimasa Ishii, Hirotaka Ono and Yushi Uno
    • Journal Title

      Discrete Applied Mathematics

      Volume: 印刷中 Pages: 86-103

    • DOI

      10.1016/j.dam.2019.03.017

    • NAID

      120007126840

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Settlement fund circulation problem2019

    • Author(s)
      Hitoshi Hayakawa, Toshimasa Ishii,Hirotaka Ono, Yushi Uno
    • Journal Title

      Discrete Applied Mathematics

      Volume: 印刷中

    • NAID

      120007126840

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Posimodular function optimization2017

    • Author(s)
      Magnus M. Halldorsson, Toshimasa Ishii,Kazuhisa Makino, Kenjiro Takazawa
    • Journal Title

      Lecture Notes in Computer Science, Algorithms and Data Structures

      Volume: 10389 Pages: 437-448

    • DOI

      10.1007/978-3-319-62127-2_37

    • ISBN
      9783319621265, 9783319621272
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Settlement fund circulation problem2017

    • Author(s)
      Hitoshi Hayakawa, Toshimasa Ishii,Hirotaka Ono, Yushi Uno
    • Journal Title

      LIPIcs, Algorithms and Computation

      Volume: 92 Pages: 1-46

    • DOI

      10.4230/LIPIcs.ISAAC.2017.46

    • NAID

      120007126840

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] (Total) vector domination for graphs with bounded branchwidth2016

    • Author(s)
      Toshimasa Ishii,Hirotaka Ono, Yushi Uno
    • Journal Title

      Discrete Applied Mathematics

      Volume: 207 Pages: 88-89

    • DOI

      10.1016/j.dam.2016.03.002

    • NAID

      120006488392

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Reallocation Problems with Minimum Completion Time2023

    • Author(s)
      T. Ishii, J. Kawahara, K. Makino, H. Ono
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] Reallocation Problems with Minimum Completion Time2022

    • Author(s)
      Toshimasa Ishii, Jun Kawahara, Kazuhisa Makino, Hirotaka Ono
    • Organizer
      The 28th International Conference on Computing and Combinatorics, COCOON 2022
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] On settlement fund circulation problem2018

    • Author(s)
      Hitoshi Hayakawa, Toshimasa Ishii,Hirotaka Ono, Yushi Uno
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] Posimodular function optimization2017

    • Author(s)
      Magnus M. Halldorsson, Toshimasa Ishii,Kazuhisa Makino, Kenjiro Takazawa
    • Organizer
      15th Algorithms and Data Structures Symposium
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Settlement fund circulation problem2017

    • Author(s)
      Hitoshi Hayakawa, Toshimasa Ishii,Hirotaka Ono, Yushi Uno
    • Organizer
      28th International Symposium on Algorithms and Computation
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research

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Published: 2016-04-21   Modified: 2025-01-30  

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