On unbounded and binary parameters in multi-parametric programming: applications to mixed-integer bilevel optimization and duality theory

In multi-parametric programming an optimization problem is solved as a function of certain parameters, where the parameters are commonly considered to be bounded and continuous. In this paper, we use the case of strictly convex multi-parametric quadratic programming (mp-QP) problems with affine cons...

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Bibliographic Details

Published in:	Journal of global optimization Vol. 69; no. 3; pp. 587 - 606
Main Authors:	Oberdieck, Richard, Diangelakis, Nikolaos A., Avraamidou, Styliani, Pistikopoulos, Efstratios N.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2017 Springer Springer Nature B.V
Subjects:	Combinatorial analysis Computer Science Formulations Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Quadratic programming Real Functions Mixed-integer bilevel programming Multi-parametric programming Unbounded problems Binary parameters
ISSN:	0925-5001, 1573-2916
Online Access:	Get full text
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