Optimization of commercial facility location with customer behavior including ambiguity and probabilistic uncertainty

• Project/Area Number: 16K01245
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Social systems engineering/Safety system
• Research Institution: The University of Tokushima
• Principal Investigator: Uno Takeshi 徳島大学, 大学院社会産業理工学研究部(理工学域), 准教授 (50363023)
• Project Period (FY): 2016-04-01 – 2019-03-31
• Project Status: Completed (Fiscal Year 2018)
• Budget Amount: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000); Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: 最適化 / 立地 / 動線 / 不確実性 / オペレーションズリサーチ / 施設立地 / 日常生活行動線 / 都市計画・建築計画 / ＯＲ

Outline of Final Research Achievements

We proposed a new mathematical model for finding an effective location of commercial facilities, based on traffic lines (TLs) shaped by moving residents. TLs are inferred by residents' site and characteristics, and then includes uncertainty. In our model, fuzzy random variables are utilized by representing both types of uncertainty, which is randomness and vagueness. By using fuzzy random variables, we can formulate optimal location problem with uncertain TLs. We constructed an algorithm for solving the problem. Its effectiveness is shown by applying numerical examples of facility location.

Academic Significance and Societal Importance of the Research Achievements

施設立地における従来の多くの数理モデルでは，主要駅や大型交差点などの交通発生源に対する定点調査に基づき構築されている．近年，地域住民の日常生活行動線に基づき立地を決めることが有望視されている．動線の測定には定点観測よりも多くの不確実性が含まれることから，有力な数理モデルはこれまで提案されていなかった．本研究では，住民の生活行動に起因する不確実性を曖昧性および確率的不確実性に分けることで数理モデル化し，求解可能な最適化問題として定式化できたことに意義がある．

Research Products

• [Journal Article] A Shop Location Optimization with Traffic Generators and Lines based on Prediction of Residents' Movement (2019)
  • Author(s): Takeshi Uno, Hideki Katagiri, and Kosuke Kato
  • Journal Title: Proceedings of The International MultiConference of Engineers and Computer Scientists 2019 Volume: - Pages: 491-494
  • Peer Reviewed / Open Access
• [Presentation] A Shop Location Optimization with Traffic Generators and Lines based on Prediction of Residents' Movement (2019)
  • Author(s): Takeshi Uno
  • Organizer: The International MultiConference of Engineers and Computer Scientists 2019
  • Int'l Joint Research
• [Presentation] 地域住民の動線の推測に基づく商業施設の立地最適化 (2018)
  • Author(s): 宇野剛史，片桐英樹，加藤浩介
  • Organizer: 日本オペレーションズ・リサーチ学会2018年春季研究発表会
• [Presentation] 地域住民の動線および交通量の確率的不確実性を考慮した商業施設の立地最適化 (2017)
  • Author(s): 宇野剛史，片桐英樹，加藤浩介，益田駿志
  • Organizer: 日本オペレーションズ・リサーチ学会2017年春季研究発表会
  • Place of Presentation: 沖縄県市町村自治会館（沖縄県那覇市）
  • Year and Date: 2017-03-16
• [Remarks] Proceedings of IMECS 2019
  • URL: http://www.iaeng.org/publication/IMECS2019/