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A numerical method for nonconvex multi-objective optimal control problems

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dc.contributor.authorKaya, C.Y.
dc.contributor.authorMaurer, H.
dc.date.issued2014
dc.description.abstractA numerical method is proposed for constructing an approximation of the Pareto front of nonconvex multi-objective optimal control problems. First, a suitable scalarization technique is employed for the multi-objective optimal control problem. Then by using a grid of scalarization parameter values, i.e., a grid of weights, a sequence of single-objective optimal control problems are solved to obtain points which are spread over the Pareto front. The technique is illustrated on problems involving tumor anti-angiogenesis and a fed-batch bioreactor, which exhibit bang–bang, singular and boundary types of optimal control. We illustrate that the Bolza form, the traditional scalarization in optimal control, fails to represent all the compromise, i.e., Pareto optimal, solutions.
dc.identifier.citationComputational Optimization and Applications, 2014; 57(3):685-702
dc.identifier.doi10.1007/s10589-013-9603-2
dc.identifier.issn0926-6003
dc.identifier.issn1573-2894
dc.identifier.urihttps://hdl.handle.net/1959.8/153189
dc.language.isoen
dc.publisherSpringer
dc.rightsCopyright 2013 Springer Access Condition Notes: Postprint only available on Open Access
dc.source.urihttps://doi.org/10.1007/s10589-013-9603-2
dc.subjectmulti-objective optimization
dc.subjectoptimal control
dc.subjectpareto front
dc.subjectnumerical methods.
dc.titleA numerical method for nonconvex multi-objective optimal control problems
dc.typeJournal article
pubs.publication-statusPublished
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ror.mmsid9915909878901831

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