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An O (n2.5) Time Heuristic Algorithm for a Class of Large Weighted Edge Colouring Problems

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Computer Science
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Abstract

Let (S 1, S 2,...,S n ) be a sequence of n pairwise edge-disjoint perfect matchings on the complete bipartite graph K n,n and let D = (d ij ) be a n ×n matrix whose entries d ij ≥ 0 for all i,j = l,2,…,n are the edge weights. Denote by (D 1, D 2,...,D n) the sequence of matrices n × n and a scalar T such that:

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References

  • Avis, D. and Devroye, L., 1985, An Analysis of a Decomposition Heuristic For The Assignment Problem, Operations Research Letters 3, No 6:279–283.

    Article  MathSciNet  MATH  Google Scholar 

  • Balas, E. and Landweer, P.R., 1984, Traffic Assignment in Communication Satellites, Operations Research Letters 2, No 4:141–147.

    Article  Google Scholar 

  • Carpaneto, G. and Toth, P., 1981, Algorithm For The Solution of The Bottleneck Assignment Problem, Computing 127:179–187.

    Article  Google Scholar 

  • Carraresi, P. and Gallo, G., 1984, A Multi-Level Bottleneck Assignment Approach to the Bus Drivers Rostering Problem, European Journal of Operational Research, No 16:163–173.

    Article  MathSciNet  MATH  Google Scholar 

  • Derigs, U., 1984, Alternate Strategies For Solving Bottleneck Assignment Problems-Analysis and Computational Results, Computing 133:95–106

    Article  MathSciNet  Google Scholar 

  • Derigs, U. and Zimmermann, U., 1987, An Augmenting Path Method For Solving Linear Bottleneck Assignment Problems, Computing 119:285–295

    MathSciNet  Google Scholar 

  • Garcia, S., 1990, Heurístka Polinomial para Obtenção de Seqüência Min-Max Disjunta de n Matchings Perfeitos em K de Grande Porte, Master of Science Thesis of the Military Institute of Engineering-IME.

    Google Scholar 

  • Garfinkel, R.S., 1971, An Improved Algorithm For The Bottleneck Assignment Problem, Operations Research 119:1747–1751

    Article  Google Scholar 

  • Inukai, T., 1979, An Efficient SS/TDMA Time Slot Assignment Algorithm, IEEE, Vol. COM-27, № 10:1449–1455.

    MathSciNet  Google Scholar 

  • Ito, Y, Urano, Y, Muratani, T. and Yamaguchi, M., 1977, Analysis of a Switch Matrix for an SS/TDMA System, Proceedings of the IEEE 165:411–419.

    Article  MathSciNet  Google Scholar 

  • Kurtzberg, J.M., 1962, On Approximation Methods for the Assignment Problem, J ACM 9:419–439.

    Article  MathSciNet  MATH  Google Scholar 

  • Paias, A.M., 1988, Sistema Interactivo para Geração dos Horários de Condutores de Viaturas, Investigação Operacional 8, 1:47–53.

    Google Scholar 

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© 1992 Springer Science+Business Media New York

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Campello, R.E. (1992). An O (n2.5) Time Heuristic Algorithm for a Class of Large Weighted Edge Colouring Problems. In: Baeza-Yates, R., Manber, U. (eds) Computer Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3422-8_12

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  • DOI: https://doi.org/10.1007/978-1-4615-3422-8_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6513-6

  • Online ISBN: 978-1-4615-3422-8

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