Is it possible to analyse network problems like shortest path, minimum spanning tree, maximum flow, travelling salesman etc. with SystemModeler? If so where cm I find tutorials and examples?
A summary of good pointers provided in comments:
Szabolcs mentioned that "I never used SystemModeler, but I had the impression that it is specifically for problems that can be formulated as a set of ordinary differential equations (or differential-algebraic equations), with time as a variable. I don't think it is designed for combinatorial problems. Maybe you are misled by the fact that a Modelica model can be graphically represented as a set of connected blocks. It looks like a network. That doesn't mean it has anything to do with analysing graphs."
Shutao also added that "Wolfram SystemModeler mainly depends on the Modelica language to model and simulation. In addition, there is a package called
WSMLink` that lets the user analyze the Modelica model in a Mathematica notebook. About the book, I have read the "Introduction to physical modeling with Modelica" written by Michael Tiller. There is also a web-book called Modelica by Example by the same author, which is a portion of the SystemModeler Documentation."