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A probabilistic model for best-first search B&B algorithms

  • Discrete Algorithms
  • Conference paper
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Solving Irregularly Structured Problems in Parallel (IRREGULAR 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1253))

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Abstract

In this paper we present a probabilistic model for analysing trees generated during problem solving using best-first search Branch and Bound algorithm. We consider the weight associated with the edges as well as the number of children in a node to be random. The expressions obtained for the sequential algorithm are applied to several parallel strategies using a multiprocessor with distributed memory.

This work was supported in part by the MES (CICYT) of Spain under contract TIC96-1125-C03, Xunta de Galicia XUGA20605B96 and EC project BRPR-CT96-01070. The authors would like to thank Fujitsu Parallel Computing Research Centre for making an account on the AP1000 multicomputer available to us.

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References

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Gianfranco Bilardi Afonso Ferreira Reinhard Lüling José Rolim

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© 1997 Springer-Verlag Berlin Heidelberg

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Argüello, F., Guil, N., López, J., Amor, M., Zapata, E.L. (1997). A probabilistic model for best-first search B&B algorithms. In: Bilardi, G., Ferreira, A., Lüling, R., Rolim, J. (eds) Solving Irregularly Structured Problems in Parallel. IRREGULAR 1997. Lecture Notes in Computer Science, vol 1253. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63138-0_5

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  • DOI: https://doi.org/10.1007/3-540-63138-0_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63138-5

  • Online ISBN: 978-3-540-69157-0

  • eBook Packages: Springer Book Archive

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