In this paper we study the behavior of the free boundary optimal design problem min  Z

The optimal design of input prices is analyzed in a simple setting where the regulator has limited knowledge of efficient production costs. Under some conditions, input prices are optimally set equal to expected efficient production costs, as under the Federal Communications Commission’s TELRIC pricing policy in the U.S. telecommunications industry. More generally, input prices optimally reflec...

Design-to-time scheduling problems are real-time problems where multiple methods are available for many subproblems. This paper briefly summarizes recent work empirically investigating the design-totime search space. The effects of several parameters on the difficulty of the scheduling are mentioned and discussed.

In this article we study optimization problems ruled by α-fractional diffusion operators with volume constrains. By means of penalization techniques we prove existence of solutions. We also show that every solution is locally of class C0,α (optimal regularity), and that the free boundary is a C1,α surface, up to a Hn−1-negligible set.

We study the behavior of p-Dirichlet optimal design problem with volume constraint for p large. As the limit as p goes to infinity, we find a limiting free boundary problem governed by the infinity-Laplacian operator. We establish a necessary and sufficient condition for uniqueness of the limiting problem and, under such a condition, we determine precisely the optimal configuration for the limi...

With China's rapid economic development, electricity supply is relatively shortage, and the contradiction of power coal supply and demand is prominent. In this context, using WITNESS logistics software platforms, this paper establishes a simulation model about a power coal ocean shipping logistics system of a transshipment port as the center, focusing on how to make full use of the existing res...

We analyze the optimal design of a markdown pricing mechanism with pre-announced prices. In the presence of limited supply, buyers who choose to purchase at a lower price may face a scarcity in supply. Our focus is on the structure of the optimal markdown mechanisms in the presence of rational or “strategic” buyers who demand multiple units. We first examine a complete information setting where...