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A numerical method for nonconvex multi-objective optimal control problems

Abstract : A 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.
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https://hal.inria.fr/hal-00944399
Contributor : Estelle Bouzat <>
Submitted on : Monday, February 10, 2014 - 3:33:54 PM
Last modification on : Monday, March 21, 2016 - 11:31:14 AM

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Yalçin Kaya, Helmut Maurer. A numerical method for nonconvex multi-objective optimal control problems. Computational Optimization and Applications, Springer Verlag, 2013, ⟨10.1007/s10589-013-9603-2⟩. ⟨hal-00944399⟩

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