Abstract
This paper investigates cumulative scheduling in uncertain environments, using constraint programming. We present a new declarative characterization of robustness, which preserves solution quality. We highlight the significance of our framework on a crane assignment problem with business constraints.
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Baptiste, P., Le Pape, C., Nuijten, W.: Satisfiability tests and time-bound adjustments for cumulative scheduling problems. Annals of Operations Research 92, 305–333 (1999)
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)
Beldiceanu, N., Contejean, E.: Introducing global constraints in CHIP. Journal of Mathematical and Computer Modelling 20(12), 97–123 (1994)
Bessiere, C.: Constraint propagation. Research report 06020. In: Rossi, F., van Beek, P., Walsh, T. (eds.) Handbook of Constraint Programming, LIRMM, ch. 3, Elsevier (2006)
Billaut, J.-C., Moukrim, A., Sanlaville, E. (eds.): Flexibility and Robustness in Scheduling. Wiley (2010)
Choco. 3.1.0 (2013), http://choco.sourceforge.net/
Davenport, A.-J., Jefflot, C., Beck, J.-C.: Slack-based techniques for robust schedules. In: Proc. European Conference on Planning, pp. 7–18 (2001)
Derrien, A., Petit, T., Zampelli, S.: Dynamic sweep filtering algorithm for FlexC. Research report RR14/1/INFO, Mines Nantes (2014)
Hebrard, E.: Super solutions in constraint programming. In: Sattler, U. (ed.) IJCAR Doctoral Programme. CEUR Workshop Proceedings, vol. 106. CEUR-WS.org (2004)
Hebrard, E., Hnich, B., Walsh, T.: Super solutions in constraint programming. In: Régin, J.-C., Rueher, M. (eds.) CPAIOR 2004. LNCS, vol. 3011, pp. 157–172. Springer, Heidelberg (2004)
Lahrichi, A.: The notions of Hump, Compulsory Part and their use in Cumulative Problems. C.R. Acad. Sc. 294, 20–211 (1982)
Letort, A.: Passage à l’échelle pour les contraintes d’ordonnancement multi-ressources. Ph.D dissertation (2013)
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)
Leus, R., Artigues, C., Talla Nobibon, F.: Robust optimization for resource-constrained project scheduling with uncertain activity durations. In: Proc. IEEM, pp. 101–105 (2011)
Perron, L., Shaw, P., Furnon, V.: Propagation guided large neighborhood search. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258, pp. 468–481. Springer, Heidelberg (2004)
Wu, C.W., Brown, K.N., Beck, J.C.: Scheduling with uncertain durations: Modeling beta-robust scheduling with constraints. Computers & OR 36(8), 2348–2356 (2009)
Zampelli, S., Vergados, Y., Van Schaeren, R., Dullaert, W., Raa, B.: The berth allocation and quay crane assignment problem using a CP approach. In: Schulte, C. (ed.) CP 2013. LNCS, vol. 8124, pp. 880–896. Springer, Heidelberg (2013)
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Derrien, A., Petit, T., Zampelli, S. (2014). A Declarative Paradigm for Robust Cumulative Scheduling. In: O’Sullivan, B. (eds) Principles and Practice of Constraint Programming. CP 2014. Lecture Notes in Computer Science, vol 8656. Springer, Cham. https://doi.org/10.1007/978-3-319-10428-7_23
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DOI: https://doi.org/10.1007/978-3-319-10428-7_23
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10427-0
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