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A Systematic Approach to MDD-Based Constraint Programming

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Principles and Practice of Constraint Programming – CP 2010 (CP 2010)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6308))

Abstract

Fixed-width MDDs were introduced recently as a more refined alternative for the domain store to represent partial solutions to CSPs. In this work, we present a systematic approach to MDD-based constraint programming. First, we introduce a generic scheme for constraint propagation in MDDs. We show that all previously known propagation algorithms for MDDs can be expressed using this scheme. Moreover, we use the scheme to produce algorithms for a number of other constraints, including Among, Element, and unary resource constraints. Finally, we discuss an implementation of our MDD-based CP solver, and provide experimental evidence of the benefits of MDD-based constraint programming.

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References

  1. Andersen, H.R., Hadzic, T., Hooker, J.N., Tiedemann, P.: A Constraint Store Based on Multivalued Decision Diagrams. In: Bessière, C. (ed.) CP 2007. LNCS, vol. 4741, pp. 118–132. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  2. Cheng, K., Yap, R.: Maintaining Generalized Arc Consistency on Ad Hoc r-Ary Constraints. In: Stuckey, P.J. (ed.) CP 2008. LNCS, vol. 5202, pp. 509–523. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  3. Hadzic, T., Hooker, J.N., O’Sullivan, B., Tiedemann, P.: Approximate Compilation of Constraints into Multivalued Decision Diagrams. In: Stuckey, P.J. (ed.) CP 2008. LNCS, vol. 5202, pp. 448–462. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  4. Hadzic, T., Hooker, J.N., Tiedemann, P.: Propagating Separable Equalities in an MDD Store. In: Perron, L., Trick, M.A. (eds.) CPAIOR 2008. LNCS, vol. 5015, pp. 318–322. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  5. Hadzic, T., O’Mahony, E., O’Sullivan, B., Sellmann, M.: Enhanced Inference for the Market Split Problem. In: Proceedings of ICTAI, pp. 716–723. IEEE, Los Alamitos (2009)

    Google Scholar 

  6. Hawkins, P., Lagoon, V., Stuckey, P.J.: Solving Set Constraint Satisfaction Problems Using ROBDDs. JAIR 24(1), 109–156 (2005)

    MATH  Google Scholar 

  7. Hoda, S.: Essays on Equilibrium Computation, MDD-based Constraint Programming and Scheduling. PhD thesis, Carnegie Mellon University (2010)

    Google Scholar 

  8. van Hoeve, W.-J., Pesant, G., Rousseau, L.-M., Sabharwal, A.: New Filtering Algorithms for Combinations of Among Constraints. Constraints 14, 273–292 (2009)

    Article  MATH  MathSciNet  Google Scholar 

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Hoda, S., van Hoeve, WJ., Hooker, J.N. (2010). A Systematic Approach to MDD-Based Constraint Programming. In: Cohen, D. (eds) Principles and Practice of Constraint Programming – CP 2010. CP 2010. Lecture Notes in Computer Science, vol 6308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15396-9_23

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  • DOI: https://doi.org/10.1007/978-3-642-15396-9_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15395-2

  • Online ISBN: 978-3-642-15396-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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