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Analysis of equilibrium problems arising within supply chain networks

Research Project

Project/Area Number 18K11179
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 60020:Mathematical informatics-related
Research InstitutionKeio University (2019-2023)
Yokohama National University (2018)

Principal Investigator

Narushima Yasushi  慶應義塾大学, 理工学部(矢上), 教授 (70453842)

Project Period (FY) 2018-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2021: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywordsサプライチェイン / 均衡問題 / 変分不等式問題 / 相補性問題 / サプライチェインネットワーク / 多段階最適化 / ネットワーク最適化 / 数値開放アルゴリズム / ロバスト最適化 / 数値解法アルゴリズム / 均衡分析
Outline of Final Research Achievements

Supply Chain Management (hereafter referred to as SCM) is a central research topic in the current field of management science. Mathematical models aiming for overall optimization in Supply Chain Networks (hereafter referred to as SCN) have been studied for a long time, but research on competitive SCNs has not advanced as much as its importance would suggest. In this study, we focus on formulating competitive situations in SCNs as equilibrium problems, particularly addressing "equilibrium problems in SCNs with uncertainties," "equilibrium problems in SCNs considering service," and "equilibrium problems in SCNs with complex structures and constraints".

Academic Significance and Societal Importance of the Research Achievements

SCNにおける数理モデルの研究は古くからあるが,ネットワークの複雑化やIoT技術の活用による構造の変化によって,新たなモデルの構築が必要となっている.上述した3つの研究課題(SCNの不確実性,サービス,複雑化)は,現在,通常の(SCNの全体最適化としての)数理モデルの研究は盛んであるものの,競合的なSCNの研究は,それほど多くなく,本研究によって得られた知見は,より良いサプライチェインの構築や既存のサプライチェインのボトルネックの解消などに貢献することが期待できる.

Report

(7 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
  • Research Products

    (31 results)

All 2024 2023 2022 2021 2019 2018 Other

All Journal Article (11 results) (of which Peer Reviewed: 8 results,  Open Access: 4 results) Presentation (17 results) (of which Int'l Joint Research: 7 results,  Invited: 1 results) Remarks (3 results)

  • [Journal Article] Inexact proximal DC Newton-type method for nonconvex composite functions2023

    • Author(s)
      Shummin Nakayama, Yasushi Narushima and Hiroshi Yabe
    • Journal Title

      Computational Optimization and Applications

      Volume: 87 Issue: 2 Pages: 611-640

    • DOI

      10.1007/s10589-023-00525-9

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Memoryless Quasi-Newton Methods Based on the Spectral-Scaling Broyden Family for Riemannian Optimization2023

    • Author(s)
      Narushima Yasushi、Nakayama Shummin、Takemura Masashi、Yabe Hiroshi
    • Journal Title

      Journal of Optimization Theory and Applications

      Volume: - Issue: 2 Pages: 639-664

    • DOI

      10.1007/s10957-023-02183-7

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A proximal quasi-Newton method based on memoryless modified symmetric rank-one formula2023

    • Author(s)
      Yasushi Narushima, Shummin Nakayama
    • Journal Title

      Journal of Industrial and Management Optimization

      Volume: 19 Issue: 6 Pages: 4095-4111

    • DOI

      10.3934/jimo.2022123

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] A smoothing and scaling Fletcher-Reeves type conjugate gradient method for systems of nonsmooth equations2021

    • Author(s)
      Yasushi Narushima and Hiroshi Yabe
    • Journal Title

      Pacific Journal of Optimization

      Volume: 17 Pages: 547-564

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Some robust supply chain network equilibrium models2021

    • Author(s)
      Y. Narushima and T. Hirano
    • Journal Title

      Proceedings of International Conference on Nonlinear Analysis and Convex Analysis-International Conference on Optimization: Techniques and Applications

      Volume: -

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Global convergence of a proximal memoryless symmetric rank one method for minimizing composite functions2021

    • Author(s)
      S. Nakayama and Y. Narushima
    • Journal Title

      Proceedings of International Conference on Nonlinear Analysis and Convex Analysis-International Conference on Optimization: Techniques and Applications

      Volume: -

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Robust Supply Chain Network Equilibrium Model2019

    • Author(s)
      Hirano Tatsuya、Narushima Yasushi
    • Journal Title

      Transportation Science

      Volume: 53 Issue: 4 Pages: 1196-1212

    • DOI

      10.1287/trsc.2018.0843

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] A proximal memoryless symmetric rank one method for minimizing composite functions2019

    • Author(s)
      成島康史, 中山舜民
    • Journal Title

      京都数理解析研究所 講究録

      Volume: 2108 Pages: 196-205

    • Related Report
      2019 Research-status Report
  • [Journal Article] Global convergence of inexact proximal memoryless spectral-scaling MBFGS method2019

    • Author(s)
      中山舜民 成島康史 矢部博
    • Journal Title

      最適化:モデリングとアルゴリズム31, 統計数理研究所共同研究レポート

      Volume: 420 Pages: 224-231

    • Related Report
      2018 Research-status Report
  • [Journal Article] Memoryless quasi-Newton methods based on spectral-scaling Broyden family for unconstrained optimization2018

    • Author(s)
      Shummin Nakayama, Yasushi Narushima and Hiroshi Yabe
    • Journal Title

      Journal of Industrial & Management Optimization

      Volume: 印刷中 Issue: 4 Pages: 1-21

    • DOI

      10.3934/jimo.2018122

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] 需要の不確実性を考慮したロバストサプライチェイン均衡モデル2018

    • Author(s)
      成島康史 平野達也
    • Journal Title

      京都数理解析 研究所講究録

      Volume: 2069 Pages: 207-218

    • Related Report
      2018 Research-status Report
  • [Presentation] セルベースモデルを用いた最適津波避難経路について-いわき市江名地区の事例-2024

    • Author(s)
      鈴木勧智, 李在沿, 中町優希, 丹野淳, 菊地卓郎, 松本行真, 成島康史
    • Organizer
      日本オペレーションズ・リサーチ学会2024年春季研究発表会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 二段階最適化問題に対する最適値関数を用いた内点法2024

    • Author(s)
      山本聖真, 矢部博, 成島康史
    • Organizer
      日本応用数理学会第20回研究部会連合発表会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Biofuels supply chain network equilibrium model in the aviation industry2023

    • Author(s)
      Yasushi Narushima and Shoma Uda
    • Organizer
      The 7th Asian Conference of Management Science and Applications
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonmonotone proximal structured quasi-Newton methods based on the Broyden family2023

    • Author(s)
      Yasushi Narushima, Shummin Nakayama, and Hiroshi Yabe
    • Organizer
      The Third Pacific Optimisation Conference
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Newton-type proximal gradient method for multi-objective optimization with composite D.C. functions2023

    • Author(s)
      Yasushi Narushima, Antoine J.V. Vades, and Hiroshi Ben
    • Organizer
      10th International Congress on Industrial and Applied Mathematics
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 航空業界における持続可能な航空燃料を考慮したサプライチェインネットワーク均衡モデル2023

    • Author(s)
      宇田翔馬, 成島康史
    • Organizer
      日本経営工学会秋季大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 構造化Broyden公式族に基づいたニュートン型近接勾配法2023

    • Author(s)
      中山舜民, 成島康史, 矢部博
    • Organizer
      日本オペレーションズ・リサーチ学会2023年秋季研究発表会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 分布的ロバスト最適化に基づく安全な経路選択問題について2023

    • Author(s)
      土屋佑太, 成島康史
    • 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 Research-status Report
  • [Presentation] Global convergence of a Newton-type proximal gradient method for multi-objective optimization with composite D.C. functions2022

    • Author(s)
      成島康, Vades, Antoine, 辺 浩
    • Organizer
      日本応用数理学会2022年度年会
    • Related Report
      2022 Research-status Report
  • [Presentation] CVaRレシオ最大化に基づく分布的ロバストポートフォリオ選択問題について2022

    • Author(s)
      赤沼陽太郎, 成島康史
    • 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 Research-status Report
  • [Presentation] サービス品質を考慮したサプライチェイン均衡モデルについて2022

    • Author(s)
      成島康史
    • Organizer
      日本経営工学会秋季大会
    • Related Report
      2022 Research-status Report
  • [Presentation] Some robust supply chain network equilibrium models2019

    • Author(s)
      Yasushi Narushima
    • Organizer
      International Conference on Nonlinear Analysis and Convex Analysis-International Conference on Optimization: Techniques and Applications (NACA-ICOTA2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Global convergence of a proximal memoryless symmetric rank one method for minimizing composite functions2019

    • Author(s)
      Shummin Nakayama and Yasushi Narushima
    • Organizer
      International Conference on Nonlinear Analysis and Convex Analysis-International Conference on Optimization: Techniques and Applications (NACA-ICOTA2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] メモリーレス対称ランクワン法に基づいたニュートン型近接勾配法の大域的収束性について2019

    • Author(s)
      中山舜民, 成島康史
    • Organizer
      日本オペレーションズ・リサーチ学会2019年秋季研究発表会
    • Related Report
      2019 Research-status Report
  • [Presentation] メモリーレスBroyden 公式族に基づいた非厳密Newton 型近接勾配法2019

    • Author(s)
      中山舜民 成島康史矢部博
    • Organizer
      日本オペレーションズ・リサーチ学会2019 年春季研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] Robust supply chain network equilibrium model with random demands2018

    • Author(s)
      Yasushi Narushima and Tatsuya Hirano
    • Organizer
      23th International Symposium of Mathematical Programming (ISMP2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Inexact proximal memoryless spectral- scaling MBFGS method2018

    • Author(s)
      Shummin Nakayama, Yasushi Narushima and Hiroshi Yabe
    • Organizer
      23th International Symposium of Mathematical Programming (ISMP2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Remarks] 慶應義塾研究者データベース

    • URL

      https://k-ris.keio.ac.jp/html/100014909_ja.html

    • Related Report
      2023 Annual Research Report
  • [Remarks] 慶應義塾研究者情報データベース

    • URL

      https://k-ris.keio.ac.jp/html/100014909_ja.html

    • Related Report
      2022 Research-status Report
  • [Remarks] 成島康史HP

    • URL

      https://sites.google.com/site/narushimalab/research

    • Related Report
      2019 Research-status Report 2018 Research-status Report

URL: 

Published: 2018-04-23   Modified: 2025-01-30  

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