In a recent paper published in Optimization Letters, Montoya et al. (Optim Lett 8:1721–1734, 2014) proposed a branch-and-price approach for a multi-skill project scheduling problem. In that paper, an integer linear programming formulation was first introduced which, unfortunately, has a number of inconsistences. At the interest of mathematical rigor, in this note, we refine such formulation.
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Correia, I., Lampreia-Lourenço, L., Saldanha-da-Gama, F.: Project scheduling with flexible resources: formulation and inequalities. OR Spec. 34, 635–663 (2012)
Montoya, C., Bellenguez-Morineau, O., Pinson, E., Rivreau, D.: Branch-and-price approach for the multi-skill project scheduling problem. Optim. Lett. 8, 1721–1734 (2014)
This work was partially supported by the Fundação para a Ciência e Tecnologia (Portuguese Foundation for Science and Technology) through the projects PEst-OE/MAT/UI0297/2011 (Centro de Matemática e Aplicações) and PEst-OE/MAT/UI0152/ 2013 (Centro de Investigação Operacional).
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Correia, I., Saldanha-da-Gama, F. A note on “branch-and-price approach for the multi-skill project scheduling problem”. Optim Lett 9, 1255–1258 (2015). https://doi.org/10.1007/s11590-014-0804-0
- Project scheduling
- Multi-skilled resources
- MILP models