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Tight lower bounds by semidefinite relaxations for the discrete lot-sizing and scheduling problem with sequence-dependent changeover costs

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Operations Research Proceedings 2011

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Abstract

We study a production planning problem known as the discrete lot-sizing and scheduling problem with sequence-dependent changeover costs.We discuss two alternative QIP formulations for this problem and propose to compute lower bounds using a semidefinite relaxation of the problem rather than a standard linear relaxation. Our computational results show that for a certain class of instances, the proposed solution approach provides lower bounds of significantly better quality.

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Correspondence to Celine Gicquel .

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Gicquel, C., Lisser, A. (2012). Tight lower bounds by semidefinite relaxations for the discrete lot-sizing and scheduling problem with sequence-dependent changeover costs. In: Klatte, D., Lüthi, HJ., Schmedders, K. (eds) Operations Research Proceedings 2011. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29210-1_67

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