Abstract
This paper considers the problem of transforming a resource feasible, fixed-times schedule into a partial order schedule (POS) to enhance its robustness and stability properties. Whereas a fixed-times schedule is brittle in the face of unpredictable execution dynamics and can quickly become invalidated, a POS retains temporal flexibility whenever problem constraints allow it and can often absorb unexpected deviation from predictive assumptions. We focus specifically on procedures for generating Chaining FormPOSs, wherein activities competing for the same resources are linked into precedence chains. One interesting property of a Chaining Form POS is that it is “makespan preserving” with respect to its originating fixed-times schedule. Thus, issues of maximizing schedule quality and maximizing schedule robustness can be addressed sequentially in a two-step scheduling procedure. Using this approach, a simple chaining algorithm was recently shown to provide an effective basis for transforming good quality solutions into POSs with good robustness properties. Here, we investigate the possibility of producing POSs with better robustness and stability properties through more extended search in the space of Chaining Form POSs. We define two heuristics which make use of a structural property of chaining form POSs to bias chaining decisions. Experimental results on a resource-constrained project scheduling benchmark confirm the effectiveness of our approach.
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
Cesta, A., Oddi, A., Smith, S.F.: Profile Based Algorithms to Solve Multiple Capacitated Metric Scheduling Problems. In: Proceedings of AIPS 1998 (1998)
Artigues, C., Roubellat, F.: A polynomial activity insertion algorithm in a multi-resource schedule with cumulative constraints and multiple modes. European Journal of Operational Research 127, 297–316 (2000)
Leus, R., Herroelen, W.: Stability and Resource Allocation in Project Planning. IIE Transactions 36, 667–682 (2004)
Policella, N., Smith, S.F., Cesta, A., Oddi, A.: Generating Robust Schedules through Temporal Flexibility. In: Proceedings of ICAPS 2004 (2004)
Bartusch, M., Mohring, R.H., Radermacher, F.J.: Scheduling project networks with resource constraints and time windows. Annals of Operations Research 16, 201–240 (1988)
Leon, V., Wu, S., Storer, R.: Robustness measures and robust scheduling for job shops. IIE Transactions 26, 32–43 (1994)
Ginsberg, M.L., Parkes, A.J., Roy, A.: Supermodels and Robustness. In: Proceedings of AAAI 1998 (1998)
Kolisch, R., Schwindt, C., Sprecher, A.: Benchmark instances for project scheduling problems. In: Weglarz, J. (ed.) Project Scheduling - Recent Models, Algorithms and Applications, pp. 197–212. Kluwer, Boston (1998)
Motwani, R., Raghavan, P.: Randomized Algorithms. Cambridge University Press, Cambridge (1995)
Aloulou, M.A., Portmann, M.C.: An Efficient Proactive Reactive Scheduling Approach to Hedge against Shop Floor Disturbances. In: Proceedings of MISTA 2003 (2003)
Artigues, C., Billaut, J., Esswein, C.: Maximization of solution flexibility for robust shop scheduling. European Journal of Operational Research (2004) (to appear)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Policella, N., Oddi, A., Smith, S.F., Cesta, A. (2004). Generating Robust Partial Order Schedules. In: Wallace, M. (eds) Principles and Practice of Constraint Programming – CP 2004. CP 2004. Lecture Notes in Computer Science, vol 3258. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30201-8_37
Download citation
DOI: https://doi.org/10.1007/978-3-540-30201-8_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23241-4
Online ISBN: 978-3-540-30201-8
eBook Packages: Springer Book Archive