Advances in Interval Methods for Deterministic Global Optimization in Chemical Engineering
نویسندگان
چکیده
منابع مشابه
Advances in Interval Methods for Deterministic Global Optimization in Chemical Engineering
In recent years, it has been shown that strategies based on an interval-Newton approach can be used to reliably solve a variety of nonlinear equation solving and optimization problems in chemical process engineering, including problems in parameter estimation and in the computation of phase behavior. These strategies provide a mathematical and computational guarantee either that all solutions h...
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A strategy is described for using linear programming (LP) to bound the solution set of the linear interval equation system that must be solved in the context of the interval-Newton method for deterministic global optimization. An implementation of this technique is described in detail, and several important issues are considered. These include selection of the interval corner required by the LP...
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Interval analysis is a powerful tool which allows to design branch-and-bound algorithms able to solve many global optimization problems. In this paper we present new adaptive multisection rules which enable the algorithm to choose the proper multisection type depending on simple heuristic decision rules. Moreover, for the selection of the next box to be subdivided, we investigate new criteria. ...
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Semi-deteministic optimization methods We consider with : J Ω → Ω ⊂. We make the following assump tions: 1 (,) J C ∈ Ω and is coercive. The infimum of J is denoted by J m (when J m is unknown, we set J m to a low value). Many deterministic minimization algorithms can be seen as discrete dynamical systems coming from the discretization of first or second order Cauchy problems. On the other hand,...
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ژورنال
عنوان ژورنال: Journal of Global Optimization
سال: 2004
ISSN: 0925-5001
DOI: 10.1023/b:jogo.0000044770.73245.14