Optimal transportation networks represent a vital intersection of mathematical optimisation, network theory and applied engineering. These problems focus on designing networks that transport resources ...

We study Monge's optimal transportation problem, where the cost is given by an optimal control cost. We prove the existence and uniqueness of an optimal map under certain regularity conditions on the ...

Joint research led by Sosuke Ito of the University of Tokyo has shown that nonequilibrium thermodynamics, a branch of physics that deals with constantly changing systems, explains why optimal ...