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# Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem

@article{Kaparis2008LocalAG, title={Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem}, author={Konstantinos Kaparis and Adam N. Letchford}, journal={European Journal of Operational Research}, year={2008}, volume={186}, pages={91-103} }

- Published 2008 in European Journal of Operational Research
DOI:10.1016/j.ejor.2007.01.032

The 0-1 Multidimensional Knapsack Problem (0-1 MKP) is a wellknown (and strongly NP-hard) combinatorial optimization problem with many applications. Up to now, the majority of upper bounding techniques for the 0-1 MKP have been based on Lagrangian or surrogate relaxation. We show that good upper bounds can be obtained by a cutting plane method based on lifted cover inequalities (LCIs). As well as using traditional LCIs, we use some new ‘global’ LCIs, which take the whole constraint matrix into… CONTINUE READING