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Research on Discrete Convex Analysis Approach for Robust Nonlinear Integer Programming Problems

Research Project

Project/Area Number 18K11177
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 InstitutionTokyo Institute of Technology

Principal Investigator

Shioura Akiyoshi  東京工業大学, 工学院, 教授 (10296882)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords離散凸関数 / ロバスト最適化 / 離散最適化 / 離散凸解析 / 整数計画
Outline of Final Research Achievements

Discrete convex integer programming problem is a discrete optimization problem to find an integral vector minimizing a given discrete convex function under a given constraint. In this research, we consider a new problem called "a robust discrete convex integer programming problem" in which uncertainty arises in problem input. Based on my previous research results, we aimed at developing algorithms for this new problem which has theoretical guarantee in the quality of an obtained solution and computation time. We obtained various interesting results on robust version of several discrete optimization problems.

Academic Significance and Societal Importance of the Research Achievements

既存の離散最適化アルゴリズムは問題の入力データが正確に与えられたと言う前提で適用されるが,実際に解くべき問題においては,与えられた入力データが正確に分からないという状況が一般的である.このような理論と現実のギャップを埋めるための一助として,本研究成果は役立つと考えている.また,現実問題からの要請に基づき新たな問題の枠組みを提案したが,これにより研究の新たな方向性を見いだすことができ,離散最適化分野のさらなる発展に貢献できるものと思われる.

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (28 results)

All 2023 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (6 results) Journal Article (9 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 9 results,  Open Access: 4 results) Presentation (13 results) (of which Int'l Joint Research: 4 results)

  • [Int'l Joint Research] University of Leeds(英国)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Durham University/University of Leeds(英国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] University of Leeds(英国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] University of Greenwich/University of Leeds(英国)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] University of Greenwich/University of Leeds(英国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] University of Greenwich/University of Leeds(英国)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Preemptive scheduling of parallel jobs of two sizes with controllable processing times2023

    • Author(s)
      Shioura Akiyoshi、Strusevich Vitaly A.、Shakhlevich Natalia V.
    • Journal Title

      Journal of Scheduling

      Volume: - Issue: 2 Pages: 203-224

    • DOI

      10.1007/s10951-023-00782-w

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Polynomial-Time Approximation Schemes for a Class of Integrated Network Design and Scheduling Problems with Parallel Identical Machines2022

    • Author(s)
      Saito Yusuke、Shioura Akiyoshi
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 13526 Pages: 324-335

    • DOI

      10.1007/978-3-031-18530-4_24

    • ISBN
      9783031185298, 9783031185304
    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] TIME BOUNDS OF BASIC STEEPEST DESCENT ALGORITHMS FOR M-CONVEX FUNCTION MINIMIZATION AND RELATED PROBLEMS2021

    • Author(s)
      Minamikawa Norito、Shioura Akiyoshi
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 64 Issue: 2 Pages: 45-60

    • DOI

      10.15807/jorsj.64.45

    • NAID

      130008031546

    • ISSN
      0453-4514, 2188-8299
    • Year and Date
      2021-04-30
    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] M-Convex Function Minimization Under L1-Distance Constraint and Its Application to Dock Reallocation in Bike-Sharing System2021

    • Author(s)
      Shioura Akiyoshi
    • Journal Title

      Mathematics of Operations Research

      Volume: - Issue: 2 Pages: 1566-1611

    • DOI

      10.1287/moor.2021.1180

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Time bounds of basic steepest descent algorithms for M-convex function minimization and related problems2021

    • Author(s)
      Norito Minamikawa and Akiyoshi Shioura
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 64

    • NAID

      130008031546

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] A fast algorithm for multiprocessor speed-scaling problem minimizing completion time and energy consumption2020

    • Author(s)
      Fujimori Yusei、Kawase Yasushi、Matsui Tomomi、Shioura Akiyoshi
    • Journal Title

      Information Processing Letters

      Volume: 162 Pages: 105991-105991

    • DOI

      10.1016/j.ipl.2020.105991

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] SEPARABLE CONVEX RESOURCE ALLOCATION PROBLEM WITH L1-DISTANCE CONSTRAINT2019

    • Author(s)
      Minamikawa Norito、Shioura Akiyoshi
    • Journal Title

      Journal of the Operations Research Society of Japan

      Volume: 62 Issue: 3 Pages: 109-120

    • DOI

      10.15807/jorsj.62.109

    • NAID

      130007685316

    • ISSN
      0453-4514, 2188-8299
    • Year and Date
      2019-07-31
    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Separable convex resource allocation problem with L1-distance constraint2019

    • Author(s)
      Norito Minamikawa, Akiyoshi Shioura
    • Journal Title

      Journal of Operations Research Society of Japan

      Volume: 印刷中

    • NAID

      130007685316

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Scheduling problems with controllable processing times and a common deadline to minimize maximum compression cost2018

    • Author(s)
      Shioura Akiyoshi、Shakhlevich Natalia V.、Strusevich Vitaly A.
    • Journal Title

      Journal of Global Optimization

      Volume: 発行予定 Issue: 3 Pages: 471-490

    • DOI

      10.1007/s10898-018-0686-2

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Polynomial-Time Approximation Schemes for a Class of Integrated Network Design and Scheduling Problems with Parallel Identical Machines2022

    • Author(s)
      Yusuke Saito, Akiyoshi Shioura
    • Organizer
      第188回アルゴリズム研究発表会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Polynomial-Time Approximation Schemes for a Class of Integrated Network Design and Scheduling Problems with Parallel Identical Machines2022

    • Author(s)
      Yusuke Saito, Akiyoshi Shioura
    • Organizer
      International Symposium on Combinatorial Optimization
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 全域木設計スケジューリング問題の近似解法2022

    • Author(s)
      齊藤 雄介, 塩浦 昭義
    • Organizer
      京都大学数理解析研究所RIMS共同研究(公開型) 「情報社会を支える計算機科学の基礎理論」
    • Related Report
      2021 Research-status Report
  • [Presentation] 全域木設計スケジューリング問題の近似解法2022

    • Author(s)
      齊藤 雄介, 塩浦 昭義
    • Organizer
      日本オペレーションズ・リサーチ学会 2022年春季研究発表会
    • Related Report
      2021 Research-status Report
  • [Presentation] M凸関数最小化問題に対する最急降下法の反復回数の解析2020

    • Author(s)
      南川 智都, 塩浦 昭義
    • Organizer
      日本応用数理学会 2020年度 年会
    • Related Report
      2020 Research-status Report
  • [Presentation] M凸関数最小化問題に対する最急降下法の反復回数の厳密なバウンド2020

    • Author(s)
      南川 智都, 塩浦 昭義
    • Organizer
      京都大学数理解析研究所研究集会「数理最適化の理論・アルゴリズム・応用」
    • Related Report
      2020 Research-status Report
  • [Presentation] M凸関数最小化問題に対する最急降下法の厳密な反復回数2020

    • Author(s)
      南川 智都, 塩浦 昭義
    • Organizer
      情報処理学会 第178回アルゴリズム研究会
    • Related Report
      2020 Research-status Report
  • [Presentation] Connection Between Discrete Convex Analysis and Auction Theory2019

    • Author(s)
      Akiyoshi Shioura
    • Organizer
      SIAM Conference on Applied Algebraic Geometry
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] M-convex Function Minimization Under L1-Distance Constraint and Its Application to Dock Re-allocation in Bike Sharing System2019

    • Author(s)
      Akiyoshi Shioura
    • Organizer
      11th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] L1距離制約の下でのM凸関数最小化2019

    • Author(s)
      塩浦昭義
    • Organizer
      研究集会「最適化:モデリングとアルゴリズム」
    • Related Report
      2018 Research-status Report
  • [Presentation] Max-Cost Scheduling with Controllable Processing Times and a Common Deadline2018

    • Author(s)
      Vitaly Strusevich, Akiyoshi Shioura, Natalia Shakhlevich
    • Organizer
      23rd International Symposium on Mathematical Programming
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Polynomial-time Algorithms for Dock Reallocation Problem in Bike Sharing System2018

    • Author(s)
      塩浦昭義
    • Organizer
      情報処理学会アルゴリズム研究会
    • Related Report
      2018 Research-status Report
  • [Presentation] Minimization of an M-convex Function under L1-distance Constraint2018

    • Author(s)
      塩浦昭義
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Related Report
      2018 Research-status Report

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Published: 2018-04-23   Modified: 2024-01-30  

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