Abstract
In Example 7 of Chapter 2 we introduced the notion of robust scheduling. Schedulers confronted with significant processing time uncertainty often discover that a schedule which is optimal with respect to a deterministic or stochastic scheduling model yields quite poor performance when evaluated relative to the actual processing times. In these environments, the notion of schedule robustness, i.e., determining the schedule with the best worst-case performance compared to the corresponding optimal solution over all potential realizations of job processing times, is a more appropriate guide to schedule selection. The benefits of robust decision making in a scheduling context have been clearly illustrated through an example in Chapter 1 (Section 1.1 and Section 1.2).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Carpaneto, G., S. Martello and P. Toth (1988), “Algorithms and Codes for the Assignment Problem,” Annals or Operations Research, 7, 200–218.
; Daniels, R.L. and P. Kouvelis (1992), “Robust Scheduling to Hedge Against Processing Time Uncertainty in Single-Stage Production,” Working paper, Fuqua School of Business, Duke University.
Daniels, R.L. and P. Kouvelis (1995), “Robust Scheduling to Hedge Against Processing Time Uncertainty in Single-Stage Production,” Management Science, 41, 2, 363–376.
Glover, F. (1975), “Surrogate Constraint Duality in Mathematical Programming,” Operations Research, 23, 434–453.
Johnson, S.M. (1954), “Optimal Two- and Three-Stage Production Schedules with Setup Times Included,” Naval Research Logistics Quarterly, 1, 61–68.
Kouvelis, P., R.L. Daniels and G. Vairaktarakis (1996), “Robust Scheduling of a Two-Machine Flow Shop with Uncertain Processing Times,” Working Paper, Fuqua School of Business, Duke University (to appear in Naval Research Logistics).
Lawler, E.L. (1976), Combinatorial Optimization: Networks and Matroids, Holt, Rinehart and Winston, New York.
Yu, G. (1993), “On the Robust One-Machine Scheduling Problem,” Working Paper, Department of MSIS, Graduate School of Business, The University of Texas at Austin.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Kouvelis, P., Yu, G. (1997). Robust Scheduling Problems. In: Robust Discrete Optimization and Its Applications. Nonconvex Optimization and Its Applications, vol 14. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2620-6_7
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2620-6_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4764-2
Online ISBN: 978-1-4757-2620-6
eBook Packages: Springer Book Archive