Titlebook: Global Optimization; Deterministic Approa Reiner Horst,Hoang Tuy Book 1996Latest edition Springer-Verlag Berlin Heidelberg 1996 Decision Th

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Branch and BoundA widely used method to solve various kinds of difficult optimization problems is called branch and bound. In this technique, the feasible set is relaxed and subsequently split into parts (branching) over which lower (and often also upper) bounds of the objective function value can be determined (bounding).

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apiary

Successive Approximation MethodsIn the cutting plane methods discussed in the previous chapter, the feasible domain is reduced at each step by cutting off a feasible portion that is known to contain no better solution than the current best solution.

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ONYM

https://doi.org/10.1007/978-3-662-03199-5Decision Theory; Entscheidungstheorie; Global Optimization; Mathematical Programming; Operations Researc

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978-3-642-08247-4Springer-Verlag Berlin Heidelberg 1996

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Introducing the Oscillations Based Paradigmart involving most of the variables of the problem, and a concave part involving only a relatively small number of variables. More precisely, these problems have the form . where f: ℝ. → ℝ is a concave function, ft is a polyhedron, d and y are vectors in ℝ., and n is generally much smaller than h.

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Decomposition of Large Scale Problemsart involving most of the variables of the problem, and a concave part involving only a relatively small number of variables. More precisely, these problems have the form . where f: ℝ. → ℝ is a concave function, ft is a polyhedron, d and y are vectors in ℝ., and n is generally much smaller than h.