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Optimizing Constraint Satisfaction Problems by Regularization for the Sample Case of the Warehouse Location Problem

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KI 2020: Advances in Artificial Intelligence (KI 2020)

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Abstract

The performance of a constraint problem can often be improved by converting a subproblem into a single regular constraint. We describe a new approach to optimize constraint satisfaction (optimization) problems using constraint transformations from different kinds of global constraints to regular constraints, and their combination. Our transformation approach has two aims: 1. to remove redundancy originating from semantically overlapping constraints over shared variables and 2. to remove origins of backtracks in the search during the solution process. Based on the case study of the Warehouse Location Problem we show that our new approach yields a significant speed-up.

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References

  1. Akgün, Ö., Gent, I.P., Jefferson, C., Miguel, I., Nightingale, P., Salamon, A.Z.: Automatic discovery and exploitation of promising subproblems for tabulation. In: Hooker, J. (ed.) CP 2018. LNCS, vol. 11008, pp. 3–12. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-98334-9_1

    Chapter  Google Scholar 

  2. Boussemart, F., Hemery, F., Lecoutre, C., Sais, L.: Boosting systematic search by weighting constraints. In: de Mántaras, R.L., Saitta, L. (eds.) 16th European Conference on Artificial Intelligence, ECAI 2004, PAIS 2004. IOS Press (2004)

    Google Scholar 

  3. Dechter, R.: Constraint Processing. Elsevier Morgan Kaufmann, Burlington (2003)

    MATH  Google Scholar 

  4. Hnich, B.: CSPLib problem 034: warehouse location problem. http://www.csplib.org/Problems/prob034. Accessed 28 Mar 2019

  5. Hopcroft, J.E., Ullman, J.D.: Introduction to Automata Theory, Languages and Computation. Addison-Wesley, Boston (1979)

    MATH  Google Scholar 

  6. Löffler, S., Liu, K., Hofstedt, P.: The power of regular constraints in CSPs. In: 47 Jahrestagung der Gesellschaft für Informatik, Informatik 2017, Chemnitz, Germany, September 25–29, 2017, pp. 603–614 (2017)

    Google Scholar 

  7. Löffler, S., Liu, K., Hofstedt, P.: The regularization of CSPs for rostering, planning and resource management problems. In: Iliadis, L., Maglogiannis, I., Plagianakos, V. (eds.) AIAI 2018. IAICT, vol. 519, pp. 209–218. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-92007-8_18

    Chapter  Google Scholar 

  8. van den Herik, J., Rocha, A.P. (eds.): ICAART 2018. LNCS (LNAI), vol. 11352. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-05453-3

    Book  Google Scholar 

  9. Pesant, G.: A regular language membership constraint for finite sequences of variables. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258, pp. 482–495. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-30201-8_36

    Chapter  MATH  Google Scholar 

  10. Prud’homme, C., Fages, J.G., Lorca, X.: Choco documentation. TASC, INRIA Rennes, LINA CNRS UMR 6241, COSLING S.A.S. (2019). http://www.choco-solver.org/. Accessed 07 Nov 2019

  11. Rossi, F., Beek, P.V., Walsh, T.: Handbook of Constraint Programming, 1st edn. Elsevier, Amsterdam (2006)

    MATH  Google Scholar 

  12. Trick, M.A.: A dynamic programming approach for consistency and propagation for knapsack constraints. Ann. OR 118(1–4), 73–84 (2003)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Sven Löffler .

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Löffler, S., Liu, K., Hofstedt, P. (2020). Optimizing Constraint Satisfaction Problems by Regularization for the Sample Case of the Warehouse Location Problem. In: Schmid, U., Klügl, F., Wolter, D. (eds) KI 2020: Advances in Artificial Intelligence. KI 2020. Lecture Notes in Computer Science(), vol 12325. Springer, Cham. https://doi.org/10.1007/978-3-030-58285-2_26

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  • DOI: https://doi.org/10.1007/978-3-030-58285-2_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-58284-5

  • Online ISBN: 978-3-030-58285-2

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