When Balanchine died, he left Peter Martins a double legacy: first, a peerless repertory — no other company in the world can match it — and, second, a shoes-to-fill problem on the order of the Kennedy-Johnson succession.
When Balanchine died, he left Peter Martins a double legacy: first, a peerless repertory no other company in the world can match it and, second, a shoes-to-fill problem on the order of the Kennedy-Johnson succession.
In the following, we apply our method to a classical water-filling problem where a decentralized solution is not necessary.
Being a fundamental block of the optimum resource allocation problem for the CR-SIMO-MAC systems, the generalized water-filling problem is abstracted as follows.
Using the water-filling problem as an illustration, we first derive the structural properties of the optimal solutions based on Karush Kuhn Tucker conditions.
The modeling of a NIL, as well as any other mold filling problem, is complicated by the presence of dynamic movement of the contact line between the melt and stamp during filling.
It is easy to see that if a i j = 0, as i ≠ j, and P i > > 0, ∀i, then the problem (9) is reduced into the conventional weighted water-filling problem.
We investigate both the early "filling" problem of the beam starting to move away from the spacecraft and the steady state problem where the beam encounters a wall at an infinite distance from the spacecraft.
In the second one, a centralized implementation of the CDM is used to solve a time-varying water-filling problem and the aim is to show the benefits of having an unsupervised method in that changing conditions.
