Abstract
We motivate and introduce an extension of the well-known cumulative constraint which deals with time and volume dependent cost of resources. Our research is primarily interested in scheduling problems under time and volume variable electricity costs, but the constraint equally applies to manpower scheduling when hourly rates differ over time and/or extra personnel incur higher hourly rates. We present a number of possible lower bounds on the cost, including a min-cost flow, different LP and MIP models, as well as greedy algorithms, and provide a theoretical and experimental comparison of the different methods.
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References
Aggoun, A., Beldiceanu, N.: Extending CHIP in order to solve complex scheduling problems. Journal of Mathematical and Computer Modelling 17(7), 57–73 (1993)
Baptiste, P., Le Pape, C., Nuijten, W.: Constraint-Based Scheduling: Applying Constraint Programming to Scheduling Problems. Kluwer, Dordrecht (2001)
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., Carlsson, M., Poder, E.: New filtering for the cumulative constraint in the context of non-overlapping rectangles. In: Perron, L., Trick, M.A. (eds.) CPAIOR 2008. LNCS, vol. 5015, pp. 21–35. Springer, Heidelberg (2008)
Beldiceanu, N., Poder, E.: A continuous multi-resources cumulative constraint with positive-negative resource consumption-production. In: Van Hentenryck, P., Wolsey, L.A. (eds.) CPAIOR 2007. LNCS, vol. 4510, pp. 214–228. Springer, Heidelberg (2007)
Hooker, J.: Integrated Methods for Optimization. Springer, New York (2007)
Mercier, L., Van Hentenryck, P.: Edge finding for cumulative scheduling. INFORMS Journal on Computing 20(1), 143–153 (2008)
Schutt, A., Feydy, T., Stuckey, P.J., Wallace, M.: Why cumulative decomposition is not as bad as it sounds. In: Gent, I.P. (ed.) CP 2009. LNCS, vol. 5732, pp. 746–761. Springer, Heidelberg (2009)
Simonis, H., Cornelissens, T.: Modelling producer/consumer constraints. In: Montanari, U., Rossi, F. (eds.) CP 1995. LNCS, vol. 976, pp. 449–462. Springer, Heidelberg (1995)
VilÃm, 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)
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Simonis, H., Hadzic, T. (2011). A Resource Cost Aware Cumulative. In: Larrosa, J., O’Sullivan, B. (eds) Recent Advances in Constraints. CSCLP 2009. Lecture Notes in Computer Science(), vol 6384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19486-3_5
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DOI: https://doi.org/10.1007/978-3-642-19486-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19485-6
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