Geodesic
Optimization in structure population models through the Escalator Boxcar Train
ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 1, pp. 377-399

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The Escalator Boxcar Train (EBT) is a tool widely used in the study of balance laws motivated by structure population dynamics. This paper proves that the approximate solutions defined through the EBT converge to exact solutions. Moreover, this method is rigorously shown to be effective also in computing optimal controls. As preliminary results, the well posedness of classes of PDEs and of ODEs comprising various biological models is also obtained. A specific application to welfare policies illustrates the whole procedure.

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DOI : 10.1051/cocv/2017003
Classification : 65M75, 35R06, 92D25
Keywords: Escalator boxcar train, structure population model

Colombo, Rinaldo M. 1 ; Gwiazda, Piotr 1 ; Rosińska, Magdalena 1

1 
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     author = {Colombo, Rinaldo M. and Gwiazda, Piotr and Rosi\'nska, Magdalena},
     title = {Optimization in structure population models through the {Escalator} {Boxcar} {Train}},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {377--399},
     publisher = {EDP-Sciences},
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     number = {1},
     year = {2018},
     doi = {10.1051/cocv/2017003},
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     zbl = {1407.65237},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2017003/}
}
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Colombo, Rinaldo M.; Gwiazda, Piotr; Rosińska, Magdalena. Optimization in structure population models through the Escalator Boxcar Train. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 1, pp. 377-399. doi: 10.1051/cocv/2017003

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