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Genetic algorithm for very large traveling salesman problems and its applications to practical applications

Research Project

Project/Area Number 19700134
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Intelligent informatics
Research InstitutionTokyo Institute of Technology (2009)
Japan Advanced Institute of Science and Technology (2007-2008)

Principal Investigator

NAGATA Yuichi  Japan Advanced Institute of Science and Technology, 大学院・総合理工学研究科, 助教 (70334795)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywords遺伝的アルゴリズム / 巡回セールスマン問題 / 車両配送問題 / メメティックアルゴリズム / memetic algorithm / 組合せ最適化 / メタヒューリスティクス
Research Abstract

We have developed an genetic algorithm (GA) for the traveling salesman problem (TSP). The GA uses edge assembly crossover (EAX), which is known to be efficient and effective for solving TSPs. We first propose a modified EAX algorithm that can be executed more efficiently than the original, which is 2-7 times faster. We then propose a selection model that can efficiently maintain population diversity at negligible computational cost. The edge entropy measure is used as an indicator of population diversity. We further improved the performance of the GA with EAX, especially for large instances of more than 10,000 cities. Our method is highly competitive with existing approaches. Moreover, we have developed very efficient MAs for several vehicle routing problems by extending the GA developed for the TSP.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (34 results)

All 2010 2009 2008 2007 Other

All Journal Article (17 results) (of which Peer Reviewed: 17 results) Presentation (17 results)

  • [Journal Article] 効果的な局所探索制限によるMemetic Algorithmの高速化2010

    • Author(s)
      永田裕一, 小林重信, 東条敏
    • Journal Title

      人工知能学会論文誌 vol.25,no.2

      Pages: 299-310

    • NAID

      130000259122

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A penalty-based Edge Assembly Memetic Algorithm for the Vehicle Routing Problem with Time Windows2010

    • Author(s)
      Y. Nagata, O. Braysy, W. Dullaert
    • Journal Title

      Computers & Operations research Vol.37,No.4

      Pages: 724-737

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A penalty-based Edge Assembly Memetic Algorithm for the Vehicle Routing Problem with Time Windows2010

    • Author(s)
      Y.Nagata, O.Braysy, W.Dullaert
    • Journal Title

      Computers & Operations research 37

      Pages: 724-737

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 効果的な局所探索制限による Memetic Algorithm の高速化2010

    • Author(s)
      永田裕一, 小林重信, 東条敏
    • Journal Title

      人工知能学会論文誌 25

      Pages: 299-310

    • NAID

      130000259122

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Powerful Route Minimization heuristic for the Vehicle Routing Problem with Time Windows2009

    • Author(s)
      Yuichi Nagata, Olli Braysy
    • Journal Title

      Operations Research Letters vol.37,no.5

      Pages: 333-338

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Edge Assembly based Memetic Algorithm for the Capacitated Vehicle Routing Problem2009

    • Author(s)
      Yuichi Nagata, Olli Braysy
    • Journal Title

      Networks vol.54,no.4

      Pages: 205-215

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 均等に個体を分散化する適応的ニッチングGAの提案2009

    • Author(s)
      永田裕一
    • Journal Title

      人工知能学会論文誌 vol.24no.1

      Pages: 92-103

    • NAID

      130000098273

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Edge Assembly based Memetic Algorithm for the Capacitated Vehicle Routing Problem2009

    • Author(s)
      Yuichi Nagata, Olli Braysy
    • Journal Title

      Networks 54

      Pages: 205-215

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Powerful Route Minimization heuristic for the Vehicle Routing Problem with Time Windows2009

    • Author(s)
      Yuichi Nagata, Olli Braysy
    • Journal Title

      Operations Research Letters 37

      Pages: 333-338

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Guided Ejection Search for the Job Shop Scheduling Problem2009

    • Author(s)
      Yuichi Nagata, Satoshi Tojo
    • Journal Title

      Proc.of the 9th European Conference on Evolutionary Computation in Combinatorial Optimization, Lecture Notes in Computer Science 5482

      Pages: 168-179

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 均等に個体を分散化する適応的ニッチングGAの提案2009

    • Author(s)
      永田裕一
    • Journal Title

      人工知能学会論文誌 24

      Pages: 92-103

    • NAID

      130000098273

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Local Search Limitation Strategies for Vehicle Routing Problems2008

    • Author(s)
      Yuichi Nagata, Olli Braysy
    • Journal Title

      Proc. of the 8th European Conference on Evolutionary Computation in Combinatorial Optimization, Lecture Notes in Computer Science 4972

      Pages: 48-60

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Local Search Limitation Strategies for vehicle Routing Problems2008

    • Author(s)
      Yuichi Nagata, Olli Brasys
    • Journal Title

      Proceedings of the 8th European Conference on Evolutionary Computation in Combinatorial Optimization

      Pages: 48-60

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 局所的な交叉EAXを用いたGAの高速化とTSPへの適用2007

    • Author(s)
      永田裕一
    • Journal Title

      人工知能学会論文誌 vol.22,no.5

      Pages: 524-552

    • NAID

      10022008102

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 局所的な交叉EAXを用いたGAの高速化とTSPへの適用2007

    • Author(s)
      永田 裕一
    • Journal Title

      人工知能学会誌 22

      Pages: 524-552

    • NAID

      10022008102

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Edge Assembly Crossover for the Capacitated Vehicle Routing Problem2007

    • Author(s)
      Yuichi Nagata
    • Journal Title

      Proceedings of the 7th European Conference on Evolutionary Computation in Combinatorial Optimization

      Pages: 124-153

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Evolutionary Algorithm for the Vehicle Routing Problem with Time Windows: Edge Assembly Crossover for the VRPTW2007

    • Author(s)
      Yuichi Nagata
    • Journal Title

      Proceedings of the 2007 Congress on Evolutionary Computation

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Guided Ejection Searchによる車両配送問題の車両数最小化2009

    • Author(s)
      永田裕一, 小林重信
    • Organizer
      進化計算シンポジウム2009
    • Place of Presentation
      沖縄
    • Year and Date
      2009-12-29
    • Related Report
      2009 Final Research Report
  • [Presentation] Guided Ejection Search による車両配送問題の車両数最小化2009

    • Author(s)
      永田裕一, 小林重信
    • Organizer
      進化計算シンポジウム2009
    • Place of Presentation
      沖縄・かんぽの宿那覇レクセンター
    • Year and Date
      2009-12-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] 遺伝的アルゴリズムとタブサーチのハイブリッド法によるジョブショップスケジューリング問題の解法2009

    • Author(s)
      永田裕一, 小林重信
    • Organizer
      人工知能学会 第2回進化計算フロンティア研究会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-10-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] Genetic Tabu Search for the Job Shop Scheduling Problem2009

    • Author(s)
      Yuichi Nagata, Shigenobu Kobayashi
    • Organizer
      The 8th Metaheuristics International Conference (MIC-2009)
    • Place of Presentation
      Hamburg, Germany
    • Year and Date
      2009-07-14
    • Related Report
      2009 Final Research Report
  • [Presentation] Genetic Tabu Search for the Job Shop Scheduling Problem2009

    • Author(s)
      永田裕一, 小林重信
    • Organizer
      the 8th Metaheuristics International Conference
    • Place of Presentation
      ハンブルグ
    • Year and Date
      2009-07-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] Effective Crossover Operator for the traveling Salesman Problems: Edge Assembly Crossover2009

    • Author(s)
      Yuichi Nagata
    • Organizer
      INFORMS International Meeting 2007
    • Place of Presentation
      Puerto Rico
    • Year and Date
      2009-07-09
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] Memetic Algorithm による Vehicle Routing2009

    • Author(s)
      永田裕一
    • Organizer
      人工知能学会 第1回進化計算フロンティア研究会
    • Place of Presentation
      ハンブルグ
    • Year and Date
      2009-05-29
    • Related Report
      2009 Annual Research Report
  • [Presentation] Guided Ejection Search for the Job Shop Scheduling Problem2009

    • Author(s)
      Yuichi Nagata, Satoshi Tojo
    • Organizer
      The 9th European Conference on Evolutionary Computation in Combinatorial Optimization (EvoCOP-2009)
    • Place of Presentation
      Tubingen, Germany
    • Year and Date
      2009-04-17
    • Related Report
      2009 Final Research Report
  • [Presentation] Guided ejection searchによるジョブショップスケジューリング問題の最適化2008

    • Author(s)
      永田裕一
    • Organizer
      進化計算シンポジウム2008
    • Place of Presentation
      登別
    • Year and Date
      2008-12-20
    • Related Report
      2009 Final Research Report
  • [Presentation] An adaptive diversification heuristic for the Fleet Size and Mix Vehicle Routing Problem with Time Windows2008

    • Author(s)
      O. Braysy, P. Hotokka, W. Dullaert, Y. Nagata
    • Organizer
      EU/Meeting 2008 : Metaheuristics for Logistics and Vehicle Routing
    • Place of Presentation
      Troyes, France
    • Year and Date
      2008-10-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] A powerful Route Minimization Heuristic for the Vehicle Routing Problem with Time Window2008

    • Author(s)
      Yuichi Nagata, Olli Braysy
    • Organizer
      International Workshop Vehicle Routing in Practice 08 (VIP'08)
    • Place of Presentation
      Oslo, Norway
    • Year and Date
      2008-06-13
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] Efficient Evolutionary Algorithm for the Vehicle Routing Problem with Time Windows2007

    • Author(s)
      Yuichi Nagata
    • Organizer
      Edge Assembly Crossover for the VRPTW, Proceedings of the 2007 Congress on Evolutionary Computation (CEC-2007)
    • Place of Presentation
      Singapore
    • Year and Date
      2007-09-26
    • Related Report
      2009 Final Research Report
  • [Presentation] Effective Memetic Algorithm for the Vehicle Routing Problem with Time Windows, Edge Assembly Crossover for the VRPTW2007

    • Author(s)
      Yuichi Nagata
    • Organizer
      The 7th Metaheuristics International Conference (MIC-2007)
    • Place of Presentation
      Montreal, Canada
    • Year and Date
      2007-06-26
    • Related Report
      2009 Final Research Report
  • [Presentation] Edge Assembly Crossover for the Capacitated Vehicle Routing Problem2007

    • Author(s)
      Yuichi Nagata
    • Organizer
      The 7th European Conference on Evolutionary Computation in Combinatorial Optimization (EvoCOP-2007)
    • Place of Presentation
      Valencia, Spain
    • Year and Date
      2007-04-12
    • Related Report
      2009 Final Research Report
  • [Presentation] Effective Memetic Algorithm for the Vehicle Routing Problem with Time Windows: Edge Assembly Crossover for the VRPTW2007

    • Author(s)
      Yuichi Nagata
    • Organizer
      7th Metaheuristics International Conferenc
    • Place of Presentation
      Montreal, Canada
    • Related Report
      2007 Annual Research Report
  • [Presentation] New ideas for solving Vehicle Routing Problems2007

    • Author(s)
      Yuichi Nagata
    • Organizer
      OPT-LOG International Workshop on Transport Optimization
    • Place of Presentation
      Jyvaskyla, Finland
    • Related Report
      2007 Annual Research Report
  • [Presentation] Efficient Local Search Limitation Strategies for Vehicle Routing Problems

    • Author(s)
      Yuichi Nagata, Olli Braysy
    • Organizer
      The 8th European Conference on Evolutionary Computation in Combinatorial Optimization (EvoCOP-2008)
    • Place of Presentation
      Napoli, Italy
    • Related Report
      2009 Final Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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