Jia, Ren’ang, "Graph Theory Analitics of SD Flow Diagram", 1991
ua435
The article advances and discusses a theory that using diagraph theory to analyse SD flow diagram. First, on the basis of the concept strongly connected digraph generation out-tree and extreme out-tree, we prove two existence generation out-tree theorem and three relative propositions of flow diagram generation out-tree. The method to define the extreme out-tree and feedback loop set are obtained in complicated SD flow diagrams, also the general laws are advanced that each variable produces corresponding increment that in the feedback loop and extreme out-tree and at the different simulation moment, one increment ∆x is given certain variable x. All these conclusions are useful to the debugging and the result-analysis of SD model and are also useful to analyse the effects of controll variable in system.