Globally optimal paths in the nonclassical growth model

Optimal Growth Paths with Exhaustible Resources: an Information-based Model

Globally Optimal Nonlinear Model Predictive Control

This paper presents a globally optimal nonlinear Model Predictive Control (NMPC) algorithm. Utilizing local techniques on nonlinear nonconvex problems leaves one susceptible to suboptimal solutions. In complex problems, local solver reliability is difficult to predict and often highly dependent upon the choice of initial guess. For the purpose of NMPC, local solvers can cause the algorithm to f...

Capital Growth Paths of the Neoclassical Growth Model

This paper derives the first-order approximated paths of both types of capital in the two-capital neoclassical growth model. The derived capital growth paths reveal that the short-run growth effect of capital injection differs considerably depending on which type of capital is enhanced. This result demonstrates the importance of well-targeted capital enhancement programs such as public sector p...

Fracturing the optimal paths.

Optimal paths play a fundamental role in numerous physical applications ranging from random polymers to brittle fracture, from the flow through porous media to information propagation. Here for the first time we explore the path that is activated once this optimal path fails and what happens when this new path also fails and so on, until the system is completely disconnected. In fact many appli...

A general model of watershed extraction and representation using globally optimal flow paths and up-slope contributing areas

Many modern hydrological models require data inputs provided by automated digital terrain analysis functions incorporated into GIS. These inputs include Ž elds representing surface  ow directions, up-slope contributing areas, and sub-catchment partitions. Existing raster-based terrain analysis tools, including both those in oŒ-the-shelf GIS packages and those in the recent literature, were des...