Search Results - subject:"Piecewise linear relaxation"

Adaptive piecewise linear relaxations for enclosure computations for nonconvex multiobjective mixed-integer quadratically constrained programs

Link, Moritz; Volkwein, Stefan - In: Journal of Global Optimization 87 (2023) 1, pp. 97-132

In this paper, a new method for computing an enclosure of the nondominated set of multiobjective mixed-integer quadratically constrained programs without any convexity requirements is presented. In fact, our criterion space method makes use of piecewise linear relaxations in order to bypass the...

Persistent link: https://www.econbiz.de/10015165401

On refinement strategies for solving MINLPs\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\textsc {MINLP}\mathrm{s}}$$\end{document} by piecewise linear relaxations: a generalized red refinement

Burlacu, Robert - In: Optimization Letters 16 (2021) 2, pp. 635-652

We investigate the generalized red refinement for n-dimensional simplices that dates back to Freudenthal (Ann Math 43(3):580–582, 1942) in a mixed-integer nonlinear program (MINLP\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}...

Persistent link: https://www.econbiz.de/10014501351

Solving AC optimal power flow with discrete decisions to global optimality

Aigner, Kevin-Martin; Burlacu, Robert; Liers, Frauke; … - In: INFORMS journal on computing : JOC ; charting new … 35 (2023) 2, pp. 458-474

Persistent link: https://www.econbiz.de/10014327649