A Global Approach to the Control of an Industry Structure System Dynamics Model

Please always quote using this URN: urn:nbn:de:0297-zib-42932
  • We consider a system dynamics model that describes the effect of human activity on natural resources. The central stocks are the accumulated profit, the industry structures, and the water resources. The model can be controlled through two time-dependent parameters. The goal in this paper is to find a parameter setting that leads to a maximization of a performance index, which reflects both environmental and economic aspects. Thus, the goal is to identify the most sustainable stock of industry structures within the model's constraints and assumptions. In order to find a proven global optimal parameter set, we formulate the System Dynamics Optimization model as a mixed-integer nonlinear problem that is accessible for numerical solvers. Due to the dynamic structure of the model, certain steps of the solution process must be handled with greater care, compared to standard non-dynamic problems. We describe our approach of solving the industry structure model and present computational results. In addition, we discuss the limitations of the approach and next steps.

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Author:Armin Fügenschuh, Stefan N. Grösser, Ingmar Vierhaus
Document Type:ZIB-Report
Tag:System Dynamics; Mixed-Integer Nonlinear Optimization
MSC-Classification:90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING
93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX)
CCS-Classification:G. Mathematics of Computing
Date of first Publication:2013/10/22
Series (Serial Number):ZIB-Report (13-67)
ISSN:1438-0064
Licence (German):License LogoCreative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung

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