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Clique Inference Process for Solving Max-CSP

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Principles and Practice of Constraint Programming - CP 2006 (CP 2006)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4204))

Abstract

In this paper we show that the clique concept can be exploited in order to solve Max-CSP. We present a clique inference process which leads to construct linear systems useful for computing new lower bounds. The clique inference process is introduced in the PFC-MPRDAC[5] algorithm and the obtained algorithm is called PFC-MPRDAC+CBB (CBB for Clique Based Bound). The carried out experiments have shown that PFC-MPRDAC+CBB leads to obtain very encouraging results.

This work is supported in part by the French Electricity Board (EDF).

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References

  1. Affane, M.S., Bennaceur, H.: A Weighted Arc Consistency Technique for MAX-CSP. In: ECAI, pp. 209–213 (1998)

    Google Scholar 

  2. de Givry, S., Zytnicki, M., Heras, F., Larrosa, J.: Existential arc consistency: Getting closer to full arc consistency in weighted csps. In: IJCAI, pp. 84–89 (2005)

    Google Scholar 

  3. Khemmoudj, M.I., Bennaceur, H.: Clique Based Lower Bounds for Max-CSP. Technical report 2006-02, LIPN (2006)

    Google Scholar 

  4. Larrosa, J., Meseguer, P., Schiex, T.: Maintening Reversible DAC for Max-CSP. Artificial Intelligence 107(1), 149–163 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  5. Larrosa, J., Meseguer, P.: Partition-Based Lower Bound for Max-CSP. In: Jaffar, J. (ed.) CP 1999. LNCS, vol. 1713, pp. 303–315. Springer, Heidelberg (1999)

    Google Scholar 

  6. Larrosa, J., Schiex, T.: In the quest of the best form of local consistency for weighted CSP. In: IJCAI, pp. 239–244 (2003)

    Google Scholar 

  7. Larrosa, J., Schiex, T.: Solving Weighted CSP by Maintaining arc consistency. Artificial Intelligence 159(1-2), 1–26 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  8. Wallace, R.: Directed arc consistency preprocessing. In: Dans Meyer, M. (ed.) Constraint Processing. LNCS, vol. 923, pp. 121–137. Springer, Heidelberg (1995)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Khemmoudj, M.O.I., Bennaceur, H. (2006). Clique Inference Process for Solving Max-CSP. In: Benhamou, F. (eds) Principles and Practice of Constraint Programming - CP 2006. CP 2006. Lecture Notes in Computer Science, vol 4204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11889205_63

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  • DOI: https://doi.org/10.1007/11889205_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46267-5

  • Online ISBN: 978-3-540-46268-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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