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Development of mathematical and simulation models for cooperative ventures between independent economic agents and their applications

Research Project

Project/Area Number 21H01565
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 25010:Social systems engineering-related
Research InstitutionHiroshima University

Principal Investigator

Nishizaki Ichiro  広島大学, 先進理工系科学研究科(工), 教授 (80231504)

Co-Investigator(Kenkyū-buntansha) 林田 智弘  広島大学, 先進理工系科学研究科(工), 准教授 (20432685)
関崎 真也  広島大学, 先進理工系科学研究科(工), 助教 (70724897)
Project Period (FY) 2021-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥9,360,000 (Direct Cost: ¥7,200,000、Indirect Cost: ¥2,160,000)
Fiscal Year 2023: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2022: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2021: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Keywordsサプライチェーン管理 / DEA生産問題 / 不確実性 / 多目的多期間生産ゲーム / フラクタイルモデル / 電力システム / 進化型多目的計画法 / 協調的生産モデル / ゲーム理論 / エージェントベース・シミュレーション / 生産流通システム / 多期間生産ゲーム
Outline of Research at the Start

本研究課題では,様々なリスクのもとで企業などの経済主体が事業を継続していくために,経済主体間の協同事業の可能性と妥当性を検証する.複数の経済主体が互いに競合しながらも,協同事業を行うことで,リスク回避という側面のみならず,個々の経済主体の利益が単独事業よりも増加する仕組みを考察する.競合的および協力的側面を考慮したモデルを対象として,共同事業の妥当性,リスク回避,システム運営の効率化,企業連合全体の利益の増加あるいはコストの削減等の効果を数理的およびシミュレーション分析を通じて数量的に分析する.方法論を開発したのちに,その適用に関して,電力システムと生産流通システムに焦点を当てる.

Outline of Final Research Achievements

We dealt with a two-level production and transportation planning problem for supply chain management between a distributor and a manufacturer, and formulated the production planning problem from the perspective of DEA, taking into account uncertainty of the manufacturer's production technology information. A two-stage supply chain model for facility opening and transportation was formulated to maximize uncertain profits. In order to deal with disruptions in the supply chain, we proposed a model taking into account the risk attitude of the manager. To maximize the profit in a multiperiod linear production problem in which multiple firms pool their uncertain resources, we formulated a cooperative game taking into account the risk attitudes of players, and furthermore extended it to a two-objective cooperative game for the profit maximization and the reduction of greenhouse gas emissions.

Academic Significance and Societal Importance of the Research Achievements

経団連は民間と官,あるいは企業間の協調の重要性を指摘している.一方,近年の度重なる自然災害を経て,災害に対する事業の持続可能性は喫緊の課題である.このような背景のもと,本研究では関連する組織や企業などの経済主体が独自の戦略に従いながらも,互いに協力することによって,収益を向上させるだけでなく,経済主体の経営基盤の更なる健全化や頑健化を考える.経済主体間での協調的運営をモデル化するが,必ずしも経済主体が完全に協力し,最終的に経済主体を統合することはないと考える.そのため,各経済主体の独自の活動と経済主体の協調的運営を同時に考慮するモデル化とその計算手法をあらたに開発した.

Report

(4 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • Research Products

    (12 results)

All 2023 2022 2021

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Open Access: 1 results) Presentation (7 results) (of which Int'l Joint Research: 4 results)

  • [Journal Article] DEA approaches for multiperiod two-level production and distribution planning problems2023

    • Author(s)
      Tomohiro Hayashida, Ichiro Nishizaki, Shinya Sekizaki, Junya Okabe
    • Journal Title

      Mathematics

      Volume: 11 Issue: 21 Pages: 4492-4492

    • DOI

      10.3390/math11214492

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Averaged dual solution for linear production games and its characterization2023

    • Author(s)
      Ichiro Nishizaki, Tomohiro Hayashida, Shinya Sekizaki, and Kenta Tanaka
    • Journal Title

      Central European Journal of Operations Research

      Volume: 31 Issue: 2 Pages: 523-555

    • DOI

      10.1007/s10100-022-00820-6

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A two-stage linear production planning model with partial cooperation under stochastic demands2023

    • Author(s)
      Ichiro Nishizaki, Tomohiro Hayashida, Shinya Sekizaki, and Kojiro Furumi
    • Journal Title

      Annals of Operations Research

      Volume: 320 Issue: 1 Pages: 293-324

    • DOI

      10.1007/s10479-022-05056-w

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Expectation and fractile models for decentralized distribution systems under demand uncertainty and their computational methods2022

    • Author(s)
      Ichiro Nishizaki, Tomohiro Hayashida, Shinya Sekizaki, and Naomichi Tani
    • Journal Title

      International Journal of Operational Research

      Volume: online Issue: 1 Pages: 1-1

    • DOI

      10.1504/ijor.2021.10044002

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Data envelopment analysis approaches for two-level production and distribution planning problems2022

    • Author(s)
      Ichiro Nishizaki, Tomohiro Hayashida, Shinya Sekizaki, and Junya Okabe
    • Journal Title

      European Journal of Operational Research

      Volume: 300 Issue: 1 Pages: 255-268

    • DOI

      10.1016/j.ejor.2021.07.047

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Presentation] DEA approaches for two-level production and distribution planning problems2023

    • Author(s)
      Tomohiro Hayashida, Ichiro Nishizaki, Shinya Sekizaki, and Junya Okabe
    • Organizer
      Proceedings of the 6th International Conference on Information Science and Systems
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Robust price-based demand response framework for flexibility provision in distribution systems2023

    • Author(s)
      Shinya Sekizaki, Ichiro Nishizaki, and Tomohiro Hayashida
    • Organizer
      Proceedings of the IEEE PES ISGT Europe 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] サプライチェーンにおける利益と混乱リスクのトレードオフ分析2023

    • Author(s)
      佃 圭悟,西﨑 一郎,林田 智弘,関崎 真也
    • Organizer
      令和4年度 日本知能情報ファジィ学会中国・四国支部大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 確率的線形生産ゲームに対するフラクタイルモデルアプローチ2022

    • Author(s)
      丸尾 英彰, 西崎一郎, 林田 智弘, 関崎 真也
    • Organizer
      2022年 日本オペレーションズ・リサーチ学会 中国・四国地区 SSOR
    • Related Report
      2022 Annual Research Report
  • [Presentation] 不確実な需要を持つサプライチェーンにおけるリスク態度を 考慮した利益の最大化: フラクタイルモデルアプローチ2021

    • Author(s)
      佃 圭悟, 西崎 一郎, 林田 智弘, 関崎 真也
    • Organizer
      日本オペレーションズ・リサーチ学会 中国・四国地区 SSOR
    • Related Report
      2021 Annual Research Report
  • [Presentation] Interactive decision making for multiobjective bimatrix games with fuzzy payoffs based on possibility measure2021

    • Author(s)
      Hitoshi Yano and Ichiro Nishizaki
    • Organizer
      Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Multiobjective bimatrix game with fuzzy payoffs and its solution method using necessity measure and weighted tchebycheff norm2021

    • Author(s)
      Hitoshi Yano and Ichiro Nishizaki
    • Organizer
      Proceedings of the 13th International Joint Conference on Computational Intelligence (IJCCI 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research

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Published: 2021-04-28   Modified: 2025-01-30  

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