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Pré-Publication, Document De Travail Année : 2022

Piecewise linearization of bivariate nonlinear functions: minimizing the number of pieces under a bounded approximation error

Résumé

This work focuses on the approximation of bivariate functions into piecewise linear ones with a minimal number of pieces and under a bounded approximation error. Applications include the approximation of mixed integer nonlinear optimization problems into mixed integer linear ones that are in general easier to solve. A framework to build dedicated linearization algorithms is introduced, and a comparison to the state of the art heuristics shows their efficiency.
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Dates et versions

hal-03629850 , version 1 (04-04-2022)
hal-03629850 , version 2 (16-06-2022)

Identifiants

  • HAL Id : hal-03629850 , version 1

Citer

Aloïs Duguet, Sandra Ulrich Ngueveu. Piecewise linearization of bivariate nonlinear functions: minimizing the number of pieces under a bounded approximation error. 2022. ⟨hal-03629850v1⟩
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