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Rounding and Propagation Heuristics for Mixed Integer Programming

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Operations Research Proceedings 2011

Part of the book series: Operations Research Proceedings ((ORP))

Abstract

Primal heuristics are an important component of state-of-the-art codes for mixed integer programming. In this paper, we focus on primal heuristics that only employ computationally inexpensive procedures such as rounding and logical deductions (propagation). We give an overview of eight different approaches. To assess the impact of these primal heuristics on the ability to find feasible solutions, in particular early during search, we introduce a new performance measure, the primal integral. Computational experiments evaluate this and other measures on MIPLIB 2010 benchmark instances.

Supported by the DFG Research Center MATHEON Mathematics for key technologies in Berlin

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References

  1. T. Achterberg. Constraint Integer Programming. PhD thesis, Technische Universität Berlin, 2007.

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  2. T. Achterberg, T. Berthold, and G. Hendel. Rounding and propagation heuristics for mixed integer programming. ZIB-Report 11-29, Zuse Institute Berlin, 2011. http://vs24.kobv.de/opus4-zib/frontdoor/index/index/docId/1325/.

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  4. G. Hendel. New rounding and propagation heuristics for mixed integer programming. Bachelor’s thesis, Technische Universität Berlin, 2011.

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Correspondence to Tobias Achterberg .

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Achterberg, T., Berthold, T., Hendel, G. (2012). Rounding and Propagation Heuristics for Mixed Integer Programming. 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_12

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