An inner approximation method to compute the weight set decomposition of a triobjective mixed-integer problem

This article is dedicated to the weight set decomposition of a multiobjective (mixed-)integer linear problem with three objectives. We propose an algorithm that returns a decomposition of the parameter set of the weighted sum scalarization by solving biobjective subproblems via Dichotomic Search whi...

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Bibliographic Details
Published in:	Journal of global optimization Vol. 77; no. 4; pp. 715 - 742
Main Authors:	Halffmann, Pascal, Dietz, Tobias, Przybylski, Anthony, Ruzika, Stefan
Format:	Journal Article
Language:	English
Published:	New York, NY Springer US 01.08.2020 Springer Springer Nature B.V Springer Verlag
Subjects:	Algorithms Analysis Approximation Computer Science Decomposition Exploration Integers Mathematical analysis Mathematics Mathematics and Statistics Methods Multiobjective optimization Multiple objective analysis Operations Research Operations Research/Decision Theory Optimization Polynomials Real Functions Scalarization Weight Weight set decomposition Weighted sum method Scalarization Weight set decomposition Weighted sum method Multiobjective optimization
ISSN:	1573-2916, 0925-5001, 1573-2916
Online Access:	Get full text
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