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1998 Fiscal Year Final Research Report Summary

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)
Project Period (FY) 1996 – 1998
Keywordsproblem solving engine / metaheuristics / CSP (constraint satisfaction problem) / combinatorial optimization
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.

  • Research Products

    (9 results)

All Other

All Publications (9 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 1999-12-08  

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