System dynamics was founded in 1956 by Professor Jay W. Forrester from the Sloan School of Management, Massachusetts Institute of Technology. Forrester mentioned the¡uLevel equation is also known as a first-order differential equation in the branch of mathematics¡K¡K¡v in the book of Principles of Systems. Hence fundamentally system dynamics is a dynamic model in the mathematical model itself, which can also be expressed as a differential equation model. Since the 17th century, differential equation has evolved to become a powerful tool for analyzing the natural processes, and it has developed several research and observation methods, such as the resolution analysis, qualitative analysis and numerical analysis.
System dynamics can be applied to solve those kind of problems about high-order, nonlinear, time delay and causal feedback, and these problems are difficult to transform into mathematical models. However, researchers have already addressed many modeling approaches using the basis of system dynamics. In this study, a new transformation method is studied using system dynamics model and transforms it into differential equation model with the aid of mathematical software, applying qualitative analysis and numerical analysis to observe and analyze the differential equation model in order to understand the structure and behavior of the system dynamics model.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0810109-101152 |
| Date | 10 August 2009 |
| Creators | Kao, Hsin-Chung |
| Contributors | Liang-Cheng Chang, Pin-yang Liu, Yi-ming Tu |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | Cholon |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0810109-101152 |
| Rights | not_available, Copyright information available at source archive |
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