problem, the problem is not necessarily solved to a global optimum. Piecewise-linear or linear formulations of the non … compared with two established approaches—the piecewise-linear and the linear approximation—to account for non-linear components … piecewise-linear and the linear approach the homotopy method shows a better accuracy for the analysed cases, because the method …

piecewise linear relaxations in order to bypass the nonconvexity of the original problem. The method chooses adaptively which …

challenging to solve. One approach to tackle this difficulty is to use bivariate piecewise linear approximations for each variable … the variable products as a sum of univariate functions. Each univariate function can again be approximated by a piecewise … linear function and modelled via an MIP formulation. In the literature, heterogeneous results are reported concerning which …

{document}$${\textsc {MINLP}}$$\end{document} solution framework that is essentially based on solving piecewise linear relaxations. In addition …, we prove that applying this refinement procedure results in piecewise linear relaxations that can be modeled by the well …