TY - CONF
A1 - Vierhaus, Ingmar
A1 - Fügenschuh, Armin
T1 - Global and Local Optimal Control of a Resource Utilization Problem
T2 - Proceedings of the
33rd International Conference of the System Dynamics Society
N2 - System Dynamic models describe physical, technical, economical, or social systems using differential and algebraic equations. In their purest form, these models are intended to describe the evolution of a system from a given initial state. In many applications, it is possible to intervene with the system in order to obtain a desired dynamic or a certain outcome in the end. On the mathematical side, this leads to control problems, where aside from the simulation one has to find optimal intervention functions over time that maximize a specific objective function. Using a dynamical model for the utilization of a natural nonrenewable resource of Behrens as a demonstrator example, we present two main mathematical solution strategies. They are distinguished by the quality certificate on their respective solution: one leads to proven local optimal solution, and the other technique yields proven global optimal solutions. We present implementational and numerical issues, and a comparison of both methods.
Y1 - 2015
UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/6274
ER -