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Variants of Facility Location Problems

Research Project

Project/Area Number 17K00003
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

Nakano Shinichi  群馬大学, 大学院理工学府, 教授 (30227855)

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywordsアルゴリズム / 施設配置問題 / dispersion 問題 / r-gathering 問題 / r-gathering問題 / dispersion問題 / 最適化
Outline of Final Research Achievements

We have designed same efficient algorithms to solve new variants of facility location problems.Given two set of points C and F, we wish to assign each point in C to F, so that each point in F is assigned either 0 or at least r points in C. This is a model for evacuation shelter location planning so that each open shelter has r or more customers. This problem is called the r-gathering problem.
We have designed some efficient algorithms to solve some variants of the facility location problem.

Academic Significance and Societal Importance of the Research Achievements

計算機の速度は年々向上しているが、扱うデータのサイズはそれを上回る速度で拡大しつつある。様々な分野で、膨大なデータを高速に処理し、最適解を高速にもとめることが必要とされている。本研究は、これらを解く高速なアルゴリズムを開発するものである。
最適な施設の配置を求めるいくつかの問題について、既知のアルゴリズムより高速なアルゴリズムをいくつか設計することができた。

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (22 results)

All 2020 2019 2018 2017 Other

All Int'l Joint Research (4 results) Journal Article (10 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 10 results,  Open Access: 2 results) Presentation (8 results) (of which Int'l Joint Research: 5 results)

  • [Int'l Joint Research] BUET(バングラデシュ工科大学)(バングラデシュ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] BUET(バングラデシュ)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] バングラデシュ工科大学(バングラデシュ)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] University of Missouri(米国)

    • Related Report
      2017 Research-status Report
  • [Journal Article] An Approximation Algorithm for the 2-Dispersion Problem2020

    • Author(s)
      Kazuyuki Amano and Shin-ichi Nakano
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E103.D Issue: 3 Pages: 506-508

    • DOI

      10.1587/transinf.2019FCP0005

    • NAID

      130007804167

    • ISSN
      0916-8532, 1745-1361
    • Year and Date
      2020-03-01
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Max-Min Dispersion on a Line2020

    • Author(s)
      Tetsuya Araki and Shin-ichi Nakano
    • Journal Title

      Journal of Combinatorial Optimization

      Volume: none Issue: 3 Pages: 1824-1830

    • DOI

      10.1007/s10878-020-00549-5

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Enumerating Highly-Edge-Connected Spanning Subgraphs2019

    • Author(s)
      Katsuhisa Yamanaka, Yasuko Matsui, and Shin-ichi Nakano
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E102.A Issue: 9 Pages: 1002-1006

    • DOI

      10.1587/transfun.E102.A.1002

    • NAID

      130007699444

    • ISSN
      0916-8508, 1745-1337
    • Year and Date
      2019-09-01
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Simple Algorithm for r-gatherings on the Line2019

    • Author(s)
      Shin-Ichi Nakano
    • Journal Title

      Journal of Graph Algorithms and Applications

      Volume: 23 Issue: 5 Pages: 837-845

    • DOI

      10.7155/jgaa.00514

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Sequentially Swapping Colored Tokens on Graphs2019

    • Author(s)
      Katsuhisa Yamanaka, Erik D. Demaine, Takashi Horiyama, Akitoshi Kawamura, Shin-Ichi Nakano, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Ryuhei Uehara, and Takeaki Uno
    • Journal Title

      Journal of Graph Algorithms and Applications

      Volume: 23 Issue: 1 Pages: 3-27

    • DOI

      10.7155/jgaa.00482

    • NAID

      120006779053

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] r-Gatherings on a Star2019

    • Author(s)
      Shareef Ahmed, Shin-Ichi Nakano and Md. Saidur Rahman
    • Journal Title

      Proc. of WALCOM 2019, LNCS

      Volume: 11355 Pages: 31-42

    • DOI

      10.1007/978-3-030-10564-8_3

    • ISBN
      9783030105631, 9783030105648
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Enumerating Floorplans with Columns2018

    • Author(s)
      Katsuhisa Yamanaka, Md. Saidur Rahman and Shin-Ichi Nakano
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E101.A Issue: 9 Pages: 1392-1397

    • DOI

      10.1587/transfun.E101.A.1392

    • NAID

      130007479453

    • ISSN
      0916-8508, 1745-1337
    • Year and Date
      2018-09-01
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Exact Algorithms for the Max-Min Dispersion Problem2018

    • Author(s)
      Toshihiro Akagi, Tetsuya Araki, Takashi Horiyama, Shin-ichi Nakano, Yoshio Okamoto, Yota Otachi, Toshiki Saitoh, Ryuhei Uehara, Takeaki Uno, Kunihiro Wasa
    • Journal Title

      Proc. of FAW 2018, LNCS

      Volume: 10823 Pages: 263-272

    • DOI

      10.1007/978-3-030-04651-4_45

    • NAID

      120006648104

    • ISBN
      9783030046507, 9783030046514
    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] More Routes for Evacuation2018

    • Author(s)
      Katsuhisa Yamanaka, Yasuko Matsui and Shin-Ichi Nakano
    • Journal Title

      Proc. of COCOON 2018, LNCS

      Volume: 10976 Pages: 76-83

    • DOI

      10.1007/978-3-319-94776-1_7

    • ISBN
      9783319947754, 9783319947761
    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Floorplans with Columns2018

    • Author(s)
      Katsuhisa Yamanaka, Md. Saidur Rahman and Shin-Ichi Nakano
    • Journal Title

      IEICE TRANS. FUNDAMENTALS,

      Volume: Vol.E101-A, no.9

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Away from Rivals2018

    • Author(s)
      Kazuyuki Amano and Shin-Ichi Nakano
    • Organizer
      30th Canadian Conference on Computational Geometry, CCCG 2018, UNIVERSITY OF MANITOBA
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 直線上のMax-Min Dispersion2018

    • Author(s)
      Tetsuya Araki and Shin-ichi Nakano
    • 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
  • [Presentation] An Approximation Algorithm for the 2-Dispersion Problem2018

    • Author(s)
      Kazuyuki Amano and Shin-ichi Nakano
    • 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
  • [Presentation] Max-Min 3-dispersion Problems2018

    • Author(s)
      Takashi Horiyama, ○Shin-ichi Nakano, Toshiki Saitoh, Koki Suetsugu, Akira Suzuki, Ryuhei Uehara, Takeaki Uno, Kunihiro Wasa
    • 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
  • [Presentation] A Simple Algorithm for r-gatherings on the Line2018

    • Author(s)
      Shin-ichi Nakano
    • Organizer
      WALCOM 2018
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Exact Algorithms for the Max-Min Dispersion Problem2018

    • Author(s)
      Toshihiro Akagi, Tetsuya Araki, Takashi Horiyama, Shin-ichi Nakano, Yoshio Okamoto, Yota Otachi, Toshiki Saitoh, Ryuhei Uehara, Takeaki Uno, Kunihiro Wasa
    • Organizer
      FAW 2018
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] The partial sum dispersion problem on the line2017

    • Author(s)
      Toshihiro Akagi, Tetsuya Araki, Hiroshi Ishikawa and Shin-ichi Nakano
    • Organizer
      JCDCG^3
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Floorplans with Columns2017

    • Author(s)
      Katsuhisa Yamanaka, Md. Saidur Rahman and Shin-Ichi Nakano
    • Organizer
      COCOA 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research

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Published: 2017-04-28   Modified: 2022-02-21  

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