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Studies on combinatorial algorithms as problem solving engine

Research Project

Project/Area Number 08405030
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field System engineering
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

IBARAKI Toshihide  Kyoto Univ.Graduate School of Informatics, Professor, 情報学研究科, 教授 (50026192)

Co-Investigator(Kenkyū-buntansha) MAKINO Kazuhisa  Osaka Univ.Grad.School of Engineering Science, Assis.Prof., 基礎工学研究科, 助手 (60294162)
YAGIURA Mutsunori  Kyoto Univ.Graduate School of Informatics, Assis.Prof., 情報学研究科, 助手 (10263120)
NAGAMOCHI Hiroshi  Kyoto Univ.Graduate School of Informatics, Assoc.Prof., 情報学研究科, 助教授 (70202231)
FUKUSHIMA Masao  Kyoto Univ.Graduate School of Informatics, Professor, 情報学研究科, 教授 (30089114)
増山 繁  豊橋技術科学大学, 工学部, 助教授 (60173762)
Project Period (FY) 1996 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥23,400,000 (Direct Cost: ¥23,400,000)
Fiscal Year 1998: ¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1997: ¥6,700,000 (Direct Cost: ¥6,700,000)
Fiscal Year 1996: ¥14,600,000 (Direct Cost: ¥14,600,000)
Keywordsproblem solving engine / metaheuristics / CSP (constraint satisfaction problem) / combinatorial optimization / 組合せアルゴリズム / タブ-探索 / 制約充足問題 / 一般化割当問題 / 問題解決 / 組合セアルゴリズム / メタ・ヒューリスティックス
Research Abstract

The main purpose of this research is to develop general purpose problem solvers for various combinatorial optimization problems. Such solvers may be made possible by resorting to metaheuristic algorithms, which are recently receiving intensive attention. Based on the theoretical and experimental studies on the basic properties of metaheuristic approaches, we implemented several algorithms and conducted extensive numerical experiments on various benchmark problems as well as some problems arising from practical applications.
As platforms for the general purpose problem solvers, we employed CSP (constraint satisfaction problem), GAP (generalized assignment problem), MAX-SAT (maximum satisfiability problem) and RCPSP (resource constrained project scheduling problem). These problems are quite general and can formulate many important problems which we frequently encounter in practice. Judging from our computational experiments, the metaheuristic codes we developed appear to be very useful in a wide variety of applications.
Also included in this research are studies of structured problems, such as graph and network structures, scheduling problems, and nonlinear optimization structures.

Report

(4 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • 1996 Annual Research Report
  • Research Products

    (25 results)

All Other

All Publications (25 results)

  • [Publications] K, Nonobe: "A tabu search approach for the constraint satisfaction problem as a general problem solver" European J.Operational Research. 106. 599-623 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H, Nagamochi: "A note on minimizing su'omodular functions" Information Processing Letters. 67. 239-244 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M, Yagiura: "A variable depth search algcrithm with branching search for the generalized assigument problem" Optimization Method′s and Software. 10. 419-441 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y, Uno: "Reachability problems of random digraphs" IEICE Trans. Fundamentals. E81-A. 2694-2702 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A, Frank: "Two arc-disjoint paths in Eulerian digraphs" SIAM J. Discrete Mathematics. 11. 557-589 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M, Yagiura: "Analyses of the 2 and 3-flip neighborhoods for the MAX-SAT" J .of Combinatorial Optimization. to appear.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Nonobe: "A tabusearch approach for the constraint satisfaction problem as a general problem solver" European J.Operational Research. Vol.106. 599-623 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Nagamochi: "A note on minimizing submodular functions" Information Processing Letters. Vol.67. 239-244 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Yagiura: "A variable depth search algorithm with branching search for the generalized assigument problem" Optimization Methods and Software. Vol.10. 419-441 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Nonode and T.Ibaraki: "A tabu search approach for the constraint satisfaction problem as a general problem solver" European J.Operational Research. 106. 599-623 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Nagamochi and T.Ibaraki: "A note on minimizing submodular functions" Information Processing Letters. 67. 239-244 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Yagiura,T.Yamaguchi and T.Ibaraki: "A variable depth search algorithm with branching search for the generalized assignment problem" Optimization Methods and Software. 10. 419-441 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.Uno and T.Ibaraki: "Reachability problems of random digraphs" IEICE Trans.Fundamentals. E81-A. 2694-2702 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] A.Frank,T.Ibaraki and H.Nagamochi: "Two arc-disjoint paths in Euleaian digraphs" SIAM J.Discrete Mathematics. 11. 557-589 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Yagiura and T.Ibaraki: "Analyses of the 2 and 3-flip neighborhoods for the MAX-SAT" J.of Combinatorial Optimization. (to appear).

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Nonobe, T.Ibaraki: "A tabu search approach for the CSP as a general pnoblem solver" European J.of Operational Research. 予定.

    • Related Report
      1997 Annual Research Report
  • [Publications] H.Nagamochi, K.Nishimura, T.Ibaraki: "Computing all small cuts in an undirected network" SIAM J.on Discrete Mathematics. 10・3. 469-481 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Crama, T.Ibaraki: "Hitting or avoiding balls in Euclidian space" Annals of Operations Research. 69. 47-64 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Karuno, H.Nagamochi, T.Ibaraki: "Vehicle scheduling on a tree with release and handling times" Annals of Operations Research. 69. 193-207 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H.Nagamochi, K.Mochizuki, T.Ibaraki: "Complexity of the single vehicle scheduling problems on graphs" INFOR(Information Systems and Operations Research). 35・4. 256-276 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Y.Karuno,H.Nagamochi,T.Ibaraki: "Vehicle scheduling on a tree to minimize mayimum lateness" J.Operations Research Society of Japan. 33・3. 345-355 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] D.-Z.Zeng,S.Nakamura,T.Ibaraki: "An equilibrium analysis for finas double-offerarbitration" Mathematical Social Scientes. 31. 147-170 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Yagiura,T.Ibaraki: "The use of dynamis programming in genetic algorithms for permutation problems" European J.of Operational Restarch. 92. 387-401 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Yagiura,T.Ibaraki: "Metaheuristics as robust and simple optimization tools" Proc,1996 IEEE Int.Conf.on Euolutionary Computation. 541-546 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Yagiura,T.Ibaraki: "Genetic and local search algorithus as robust and simple optimization tools" Meta Heuristics : Theory and Applications,Kluwer. 63-82 (1996)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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