Variants of Facility Location Problems

• Project/Area Number: 17K00003
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Theory of informatics
• Research Institution: Gunma 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: ¥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。

Research Products

• [Int'l Joint Research] BUET(バングラデシュ工科大学）(バングラデシュ)
• [Int'l Joint Research] BUET(バングラデシュ)
• [Int'l Joint Research] バングラデシュ工科大学(バングラデシュ)
• [Int'l Joint Research] University of Missouri(米国)
• [Journal Article] An Approximation Algorithm for the 2-Dispersion Problem (2020)
  • 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
  • Peer Reviewed
• [Journal Article] Max-Min Dispersion on a Line (2020)
  • 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
  • Peer Reviewed
• [Journal Article] Enumerating Highly-Edge-Connected Spanning Subgraphs (2019)
  • 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
  • Peer Reviewed
• [Journal Article] A Simple Algorithm for r-gatherings on the Line (2019)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] Sequentially Swapping Colored Tokens on Graphs (2019)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] r-Gatherings on a Star (2019)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Enumerating Floorplans with Columns (2018)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Exact Algorithms for the Max-Min Dispersion Problem (2018)
  • 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
  • Peer Reviewed
• [Journal Article] More Routes for Evacuation (2018)
  • 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
  • Peer Reviewed
• [Journal Article] Floorplans with Columns (2018)
  • Author(s): Katsuhisa Yamanaka, Md. Saidur Rahman and Shin-Ichi Nakano
  • Journal Title: IEICE TRANS. FUNDAMENTALS, Volume: Vol.E101-A, no.9
  • Peer Reviewed / Int'l Joint Research
• [Presentation] Away from Rivals (2018)
  • Author(s): Kazuyuki Amano and Shin-Ichi Nakano
  • Organizer: 30th Canadian Conference on Computational Geometry, CCCG 2018, UNIVERSITY OF MANITOBA
  • Int'l Joint Research
• [Presentation] 直線上のMax-Min Dispersion (2018)
  • 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
• [Presentation] An Approximation Algorithm for the 2-Dispersion Problem (2018)
  • 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
• [Presentation] Max-Min 3-dispersion Problems (2018)
  • 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
• [Presentation] A Simple Algorithm for r-gatherings on the Line (2018)
  • Author(s): Shin-ichi Nakano
  • Organizer: WALCOM 2018
  • Int'l Joint Research
• [Presentation] Exact Algorithms for the Max-Min Dispersion Problem (2018)
  • 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
  • Int'l Joint Research
• [Presentation] The partial sum dispersion problem on the line (2017)
  • Author(s): Toshihiro Akagi, Tetsuya Araki, Hiroshi Ishikawa and Shin-ichi Nakano
  • Organizer: JCDCG^3
  • Int'l Joint Research
• [Presentation] Floorplans with Columns (2017)
  • Author(s): Katsuhisa Yamanaka, Md. Saidur Rahman and Shin-Ichi Nakano
  • Organizer: COCOA 2017
  • Int'l Joint Research