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

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 nonc...

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Bibliographic Details
Published in:	Journal of global optimization Vol. 87; no. 1; pp. 97 - 132
Main Authors:	Link, Moritz, Volkwein, Stefan
Format:	Journal Article
Language:	English
Published:	New York, NY Springer US 01.09.2023 Springer Nature B.V
Subjects:	Adaptive piecewise linear relaxation Approximation Box enclosure Computer Science Convexity Enclosures Energy supply networks Linear programming Mathematics Mathematics and Statistics Mixed integer Mixed-integer nonlinear programming Multiobjective optimization Network management systems Operations Research/Decision Theory Optimization Real Functions Variables Adaptive piecewise linear relaxation 65K05 Mixed-integer nonlinear programming 90C35 Multiobjective optimization Energy supply networks 90C11 90C29 Box enclosure 90C26
ISSN:	1573-2916, 0925-5001, 1573-2916
Online Access:	Get full text
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