Abstract
We propose a new filtering algorithm for the cumulative constraint. It applies the Edge-Finding, the Extended-Edge-Finding and the Time-Tabling rules in O(k nlogn) where k is the number of distinct task heights. By a proper use of tasks decomposition, it enforces the Time-Tabling rule and the Time-Table Extended-Edge-Finding rule. Thus our algorithm improves upon the best known Extended-Edge-Finding propagator by a factor of O(logn) while achieving a much stronger filtering.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Schutt, A., Wolf, A.: A new \({\mathcal o}(n^2\log n)\) not-first/Not-last pruning algorithm for cumulative resource constraints. In: Cohen, D. (ed.) CP 2010. LNCS, vol. 6308, pp. 445–459. Springer, Heidelberg (2010)
Aggoun, A., Beldiceanu, N.: Extending chip in order to solve complex scheduling and placement problems. Mathematical and Computer Modelling 17(7) (1993)
Baptiste, P., Pape, C.L.: Constraint propagation techniques for disjunctive scheduling: The preemptive case. In: Proceedings of the 12th European Conference on Artificial Intelligence, ECAI 1996 (1996)
Beldiceanu, N., Carlsson, M., Poder, E.: New filtering for the [Equation image] constraint in the context of non-overlapping rectangles. In: Trick, M.A. (ed.) CPAIOR 2008. LNCS, vol. 5015, pp. 21–35. Springer, Heidelberg (2008)
Beldiceanu, N., Carlsson, M.: A new multi-resource cumulatives constraint with negative heights. In: Van Hentenryck, P. (ed.) CP 2002. LNCS, vol. 2470, pp. 63–79. Springer, Heidelberg (2002)
Vilím, P.: Edge finding filtering algorithm for discrete cumulative resources in \({\mathcal o}(kn {\rm log} n)\). In: Gent, I.P. (ed.) CP 2009. LNCS, vol. 5732, pp. 802–816. Springer, Heidelberg (2009)
Kameugne, R., Fotso, L.P., Scott, J., Ngo-Kateu, Y.: A quadratic edge-finding filtering algorithm for cumulative resource constraints. In: Lee, J. (ed.) CP 2011. LNCS, vol. 6876, pp. 478–492. Springer, Heidelberg (2011)
Mercier, L., Van Hentenryck, P.: Edge finding for cumulative scheduling. INFORMS Journal on Computing 20(1), 143–153 (2008)
Baptiste, P., Pape, C.L., Nuijten, W.: Constraint-Based Scheduling. Kluwer Academic Publishers (2001)
Vilím, P.: Timetable edge finding filtering algorithm for discrete cumulative resources. In: Achterberg, T., Beck, J.C. (eds.) CPAIOR 2011. LNCS, vol. 6697, pp. 230–245. Springer, Heidelberg (2011)
Schutt, A., Feydy, T., Stuckey, P.J.: Explaining time-table-edge-finding propagation for the cumulative resource constraint. In: Gomes, C., Sellmann, M. (eds.) CPAIOR 2013. LNCS, vol. 7874, pp. 234–250. Springer, Heidelberg (2013)
Nuijten, W.: Time and Resource Constrained Scheduling. PhD thesis, Eindhoven University of Technology (1994)
Letort, A., Beldiceanu, N., Carlsson, M.: A scalable sweep algorithm for the cumulative constraint. In: Milano, M. (ed.) CP 2012. LNCS, vol. 7514, pp. 439–454. Springer, Heidelberg (2012)
Vilím, P.: O(n logn) filtering algorithms for unary reource constraint. In: Régin, J.-C., Rueher, M. (eds.) CPAIOR 2004. LNCS, vol. 3011, pp. 335–347. Springer, Heidelberg (2004)
Vilím, P.: Max energy filtering algorithm for discrete cumulative resources. In: van Hoeve, W.-J., Hooker, J.N. (eds.) CPAIOR 2009. LNCS, vol. 5547, pp. 294–308. Springer, Heidelberg (2009)
Kolisch, R., Sprecher, A.: Psplib - a project scheduling library. European Journal of Operational Research 96, 205–216 (1996), http://webserver.wi.tum.de/psplib/
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ouellet, P., Quimper, CG. (2013). Time-Table Extended-Edge-Finding for the Cumulative Constraint. In: Schulte, C. (eds) Principles and Practice of Constraint Programming. CP 2013. Lecture Notes in Computer Science, vol 8124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40627-0_42
Download citation
DOI: https://doi.org/10.1007/978-3-642-40627-0_42
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40626-3
Online ISBN: 978-3-642-40627-0
eBook Packages: Computer ScienceComputer Science (R0)