In the article the technological process of manufacture powered support as the complex dynamic system is considered, the analysis of mathematical methods of the description of such processes and is resulted as most progressive is described a method of reproduction of the process of operation of the discrete technological process with the help of the computer with construction of the simulation model of operation of the tecnological process.

In the article the process of assembly of an item on an assembly line from ready details and nodes acting (arriving) from the technological paths is considered and as the mathematical model of the process of assembly of an item is resulted which completely describes operation of an assembly line.

In the article the technological process of manufacture powered support that is considered is made in Dourjkovka's factory, in the block of shops of machine works. An example of the technological path of manufacture of cylinder use of capacities and analysis of loading of the equipment is shown.