Abstract
We report a real application project in a car industry optimization problem known as the optimal diversity management problem. We provide an alternative proof of NP-hardness, and we give and discuss the results obtained from a greedy algorithm applied to huge size instances.
Similar content being viewed by others
References
A. Agra and C. Requejo, “On the linking set problem,” Cadernos de Matemática, Universidade de Aveiro, CM07 (2007).
P. Avella, M. Boccia, C. D. Martino, G. Oliviero, and A. Sforza, “A decomposition approach for a very large scale optimal diversity management problem,” 4OR 3, No. 1, 23–37 (2005).
O. Briant, Étude Théorique et Numérique du Problème de la Gestion de la Diversité, PhD thesis, Institut National Polytechnique de Grenoble (2000).
O.Briant and D. Naddef, “The optimal diversity management problem,” Oper. Res., 52, No. 4, 515–526 (2004).
M. Garey and D. Johnson, Computers and Intractability: a Guide to the Theory of NP-Completeness, Freeman, San Francisco (1979).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 63, Optimal Control, 2009.
Rights and permissions
About this article
Cite this article
Agra, A., Cardoso, D.M., Cerdeira, J.O. et al. Solving huge size instances of the optimal diversity management problem. J Math Sci 161, 956–960 (2009). https://doi.org/10.1007/s10958-009-9614-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-009-9614-9