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Separation algorithms for 0-1 knapsack polytopes

Research output: Contribution to journalJournal article


<mark>Journal publication date</mark>07/2010
<mark>Journal</mark>Mathematical Programming
Issue number1-2
Number of pages23
Pages (from-to)69-91
Early online date8/05/10
<mark>Original language</mark>English


Valid inequalities for 0-1 knapsack polytopes often prove useful when tackling
hard 0-1 Linear Programming problems. To generate such inequalities, one needs separation algorithms for them, i.e., routines for detecting when they are violated. We present new exact and heuristic separation algorithms for several classes of inequalities, namely lifted cover, extended cover, weight and lifted pack inequalities. Moreover, we show how to improve a recent separation algorithm for the 0-1 knapsack polytope itself. Extensive computational results, on MIPLIB and OR Library instances, show the strengths and limitations of the inequalities and algorithms considered.