 Discrete representation of the non-dominated set for multi-objective optimization problems using kernelsCristina Bazgan, Florian Jamain and Daniel Vanderpooten European Journal of Operational Research, 2017, vol. 260, issue 3, 814-827 Abstract: In this paper, we are interested in producing discrete and tractable representations of the set of non-dominated points for multi-objective optimization problems, both in the continuous and discrete cases. These representations must satisfy some conditions of coverage, i.e. providing a good approximation of the non-dominated set, spacing, i.e. without redundancies, and cardinality, i.e. with the smallest possible number of points. This leads us to introduce the new concept of (ε, ε′)-kernels, or ε-kernels when ɛ′=ɛ is possible, which correspond to ε-Pareto sets satisfying an additional condition of ε′-stability. Among these, the kernels of small, or possibly optimal, cardinality are claimed to be good representations of the non-dominated set. Keywords: Multiple objective programming; Pareto set; Non-dominated points; Discrete representation; Exact and approximation algorithms; kernel (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:260:y:2017:i:3:p:814-827 DOI: 10.1016/j.ejor.2016.11.020 Access Statistics for this article European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati More articles in European Journal of Operational Research from Elsevier |
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