Abstract
In this paper, a variant of the single machine scheduling problem is considered in which the sequence-dependent setup times are assumed to be uncertain and they can take any real value from a closed interval. For tackling the problem, a mathematical model based on the robust traveling salesman problem is proposed for minimizing the makespan. Then, the proposed model is solved via a cutting plane algorithm. Finally, the computational experiments show the effectiveness of the proposed algorithm in comparison with a commercial optimization software generic branch & bound.
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Zegordi, S., Nikbakhsh, E., Modarres, M. (2010). A cutting plane algorithm for solving single machine scheduling problems with uncertain sequence-dependent setup times. In: Hinduja, S., Li, L. (eds) Proceedings of the 36th International MATADOR Conference. Springer, London. https://doi.org/10.1007/978-1-84996-432-6_27
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DOI: https://doi.org/10.1007/978-1-84996-432-6_27
Publisher Name: Springer, London
Print ISBN: 978-1-84996-431-9
Online ISBN: 978-1-84996-432-6
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