6274
2015
eng
conferenceobject
0
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Global and Local Optimal Control of a Resource Utilization Problem
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.
Proceedings of the
33rd International Conference of the System Dynamics Society
yes
http://www.systemdynamics.org/conferences/2015/proceed/papers/P1376.pdf
Ingmar Vierhaus
Ingmar Vierhaus
Armin Fügenschuh
Mathematical Optimization
Fügenschuh, Armin
CRC1026