Piecewise-Linear Approximations of Multidimensional Functions

We develop explicit, piecewise-linear formulations of functions f ( x ):ℝ n ↦ ℝ, n ≤3, that are defined on an orthogonal grid of vertex points. If mixed-integer linear optimization problems (MILPs) involving multidimensional piecewise-linear functions can be easily and efficiently solved to global o...

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Vydáno v:	Journal of optimization theory and applications Ročník 145; číslo 1; s. 120 - 147
Hlavní autoři:	Misener, R., Floudas, C. A.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Boston Springer US 01.04.2010 Springer Springer Nature B.V
Témata:	Algorithms Applications of Mathematics Applied sciences Approximation Atmospheric pollution Calculus of Variations and Optimal Control; Optimization Engineering Enhanced oil recovery Exact sciences and technology Linear programming Mathematical programming Mathematics Mathematics and Statistics Operational research and scientific management Operational research. Management science Operations Research/Decision Theory Optimization Pollution Pollution sources. Measurement results Studies Theory of Computation Linear interpolation EPA Complex Emissions Model Approximate optimization Simplices Global optimum Linear programming Mixed integer programming Function approximation Modeling Mixed method Constrained optimization Linear approximation Simplex method Air pollution Mixed problem Objective function Non linear effect Analytical function Piecewise linearization Piecewise-linear techniques
ISSN:	0022-3239, 1573-2878
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