caa a22 4500 445842229 CHVBK 20180317145348.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00245-010-9107-8 doi (NATIONALLICENCE)springer-10.1007/s00245-010-9107-8 A Planning Problem Combining Calculus of Variations and Optimal Transport [Elektronische Daten] [G. Carlier, A. Lachapelle] We consider some variants of the classical optimal transport where not only one optimizes over couplings between some variables x and y but also over some control variables governing the evolutions of these variables with time. Such a situation is motivated by an assignment problem of tasks with workers whose characteristics can evolve with time (and be controlled). We distinguish between the coupled and decoupled case. The coupled case is a standard optimal transport with the value of some optimal control problem as cost. The decoupled case is more involved since it is nonlinear in the transport plan. Springer Science+Business Media, LLC, 2010 Optimal transport nationallicence Calculus of variations nationallicence Carlier G. CEREMADE, UMR CNRS 7534, Université Paris IX Dauphine, Pl. de Lattre de Tassigny, 75775, Paris Cedex 16, France aut Lachapelle A. CEREMADE, UMR CNRS 7534, Université Paris IX Dauphine, Pl. de Lattre de Tassigny, 75775, Paris Cedex 16, France aut Applied Mathematics & Optimization Springer-Verlag 63/1(2011-02-01), 1-9 0095-4616 63:1<1 2011 63 245 https://doi.org/10.1007/s00245-010-9107-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00245-010-9107-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Carlier G. CEREMADE, UMR CNRS 7534, Université Paris IX Dauphine, Pl. de Lattre de Tassigny, 75775, Paris Cedex 16, France aut NATIONALLICENCE 700 1- Lachapelle A. CEREMADE, UMR CNRS 7534, Université Paris IX Dauphine, Pl. de Lattre de Tassigny, 75775, Paris Cedex 16, France aut NATIONALLICENCE 773 0- Applied Mathematics & Optimization Springer-Verlag 63/1(2011-02-01), 1-9 0095-4616 63:1<1 2011 63 245 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer