Abstract
We show in this article how the Weighted CSP framework can be used to solve an optimisation version of numerical planning. The WCSP finds an optimal plan in the planning graph containing all solution plans of minimum length. Experimental trials were performed to study the impact of soft arc consistency techniques (FDAC and EDAC) on the efficiency of the search for an optimal plan in this graph. We conclude by giving a possible theoretical explanation for the fact that we were able to solve optimisation problems involving several hundred variables.
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References
Blum, A., Furst, M.: Fast planning through planning graph analysis. AI 90, 281–300 (1997)
Cooper, M.C.: Reduction operations in fuzzy and valued constraint satisfaction. Fuzzy Sets and Systems 134, 311–342 (2003)
de Givry, S., Heras, F., Zytnicki, M., Larrosa, J.: Existential arc consistency: Getting closer to full arc consistency in weighted CSPs. In: IJCAI 2005, pp. 84–89 (2005)
Do, M., Kambhampati, S.: Planning as constraint satisfaction: Solving the planning graph by compiling it into CSP. AI 132, 151–182 (2001)
Haslum, P., Geffner, H.: Heuristic Planning with Time and Resources. In: European Conference on Planning (2001)
Hoffmann, J.: The Metric-FF Planning System: Translating Ignoring Delete Lists to Numeric State Variables. JAIR 20, 291–341 (2003)
Larrosa, J., Schiex, T.: In the quest of the best form of local consistency for Weighted CSP. In: IJCAI 2003, pp. 239–244 (2003)
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© 2006 Springer-Verlag Berlin Heidelberg
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Cooper, M., Cussat-Blanc, S., de Roquemaurel, M., Régnier, P. (2006). Soft Arc Consistency Applied to Optimal Planning. 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_50
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DOI: https://doi.org/10.1007/11889205_50
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)