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The Langford’s Problem: A Challenge for Parallel Resolution of CSP

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Parallel Processing and Applied Mathematics (PPAM 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2328))

Abstract

The paper is mainly concerned with the parallel efficiency of finite constraint satisfaction problems. The Langford’s combinatorial problem is used as benchmark and represents a real Challenging Problem especially for Parallel CSP resolution. A more compact encoding is introduced which clearly improves by a factor of ten the basic one for the Forward-Checking and Minimum Remaining Value (FC-MRV) algorithm. The applicability and benefit of this approach are studied within a shared memory model using the new emerging standard OpenMP library. A preliminary implementation is sketched and the experiments were carried out running on the Silicon Graphics Origin’2000 parallel machine. For the Langford’s problem, we mainly highlight appreciable linear efficiencies until 32 processors.

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References

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© 2002 Springer-Verlag Berlin Heidelberg

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Habbas, Z., Krajecki, M., Singer, D. (2002). The Langford’s Problem: A Challenge for Parallel Resolution of CSP. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_88

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  • DOI: https://doi.org/10.1007/3-540-48086-2_88

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43792-5

  • Online ISBN: 978-3-540-48086-0

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