Synopsis
In this chapter, we concentrate on branching strategies for mixed-integer nonlinear programs. We introduce the notion of an ideal violation and use it to develop a partitioning technique for factorable programs. Not only does this partitioning scheme lead to a convergent branch-and-bound algorithm but it is found to be practically efficient as well. In the second part of this chapter, we study finiteness issues for branch-and-bound. In particular, we develop a finite branching scheme for stochastic two-stage integer programs with pure-integer recourse.
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© 2002 Springer Science+Business Media Dordrecht
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Tawarmalani, M., Sahinidis, N.V. (2002). Node Partitioning Schemes. In: Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming. Nonconvex Optimization and Its Applications, vol 65. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3532-1_6
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DOI: https://doi.org/10.1007/978-1-4757-3532-1_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-5235-6
Online ISBN: 978-1-4757-3532-1
eBook Packages: Springer Book Archive