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...

This paper analyzes socially optimal forest taxation when the government has a binding tax revenue requirement. In the Faustmann model the optimal design of forest taxation consists of non-distortionary taxes, such as site productivity tax, site value tax or profit tax. A combination of distortionary unit (or yield) tax and timber tax can also be used to collect the tax revenue in a non-distort...

Continuity properties of the optimal design of robust stabilization in the gap metric are investigated. In general the optimal design in the gap metric lacks continuity properties required for certain H” adaptation schemes for slowly varying systems. On the other hand, the S-suboptimal central design is shown to be Lipschitz continuous. Applications of the continuity properties and frozen-time ...