Titlebook: Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming; Theory, Algorithms, Mohit Tawarmalani,Nikol

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Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming978-1-4757-3532-1Series ISSN 1571-568X

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,Hygiene des Säuglings in den heissen Tagen,In this chapter, we develop the theory of convex extensions of lower semicontinuous (l.s.c.) functions and illustrate its use in building convex envelopes of nonconvex mathematical programs. The techniques developed here amount to a recipe that can be used to construct closed-form expressions of con

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,Hygiene des Säuglings in den heissen Tagen,regation” (distributing the product over the sum) leads to tighter linear programming relaxations, much like variable disaggregation does in mixedinteger linear programming. We also derive closed-form expressions characterizing the exact region over which these relaxations improve when the bounds of

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Vorwort und Einführung zum Gesamtwerk 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

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