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Constraint Retraction for Dynamic Constraint Satisfaction Problems over Disjoint Real Intervals

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Summary

In a dynamic constraint satisfaction problem (dynamic CSP),we can add a new constraint to the constraint network (a restriction) or delete an old constraint (a relaxation) at any time. Therefore, incrementality is crucial for solving a dynamic CSP since we do not want to resolve the whole constraint system from scratch whenever a restriction or a relaxation occurs. In this paper, we propose an algorithm that can handle incremental constraint retraction in dynamic CSPs over real intervals. Basing on the hierarchical arc-consistency technique for disjoint real intervals developed by G. Sidebottom and W.S. Havens, we extent the proposed algorithm to be the one dealing with constraint deletion in dynamic CSPs over disjoint real intervals. The extended algorithm makes incremental deletion of constraints over disjoint real intervals a feasible task that can be efficiently implemented.

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References

  1. Bessiere, C.: Arc-consistency in Dynamic Constraint Satisfaction Problems. In: Proc. of AAAI'91, 221–226 (1991)

    Google Scholar 

  2. Codognet, P., Diaz, D. and Rossi, P.: Constraint Retraction in FD, In: Proc. of 16th Conf. on Foundations of Software Technology and Theoretical Computer Science, Hyderabad, India, Dec., 168–179 (1996)

    Google Scholar 

  3. Davis, E.: Constraint Propagation with Interval Labels. Artificial Intelligence, 32, 281–331 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  4. Debruyne, R.: Arc-consistency in Dynamic CSPs is no more Prohibitive. In: Proc. 8th Conference on Tools with Artificial Intelligence (TAI'96), 299–306 (1996)

    Google Scholar 

  5. Geordet, Y, Codognet, P. and Rossi, F.: Constraint Retraction in clp(FD): Formal Framework and Performance Results. Constraints, an International Journal 4(1):5–42 (1999)

    Article  MathSciNet  Google Scholar 

  6. Hyvonen, E.: Constraint Reasoning based on Interval Arithemetic: The Tolerance Propagation Approach. Artificial Intelligence, 58, 71–112 (1992)

    Article  MathSciNet  Google Scholar 

  7. Jussien, N., Debruyne, R., and Boizumault, P.: Maintaining Arc-consistency within Dynamic Backtracking. In: Principles and Practice of Constraint Programming CP 2000, No. 1894, Lecture Notes in Computer Science, Springer-Verlag, 249–261 (2000).

    Google Scholar 

  8. Lhomme, O.: Consistency Techniques for Numeric CSPs. In: Proc. IJCAI'93, 232–238 (1993)

    Google Scholar 

  9. Moore, R.E.: Interval Analysis, Englewood Cliffs, New Jersey, Prentice-Hall (1966)

    Google Scholar 

  10. Sidebottom, G., Havens, W.S.: Hierarchical Arc Consistency for Disjoint Real Intervals in Constraint Logic Programming. In: Proc. of Post-conference Workshop on Constraint Logic Programming Systems: Design and Applications, Washington D.C., USA, Nov., 120–150 (1992)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Anh, D.T. (2005). Constraint Retraction for Dynamic Constraint Satisfaction Problems over Disjoint Real Intervals. In: Bock, H.G., Phu, H.X., Kostina, E., Rannacher, R. (eds) Modeling, Simulation and Optimization of Complex Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27170-8_1

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