In order to provide safety of high-rise buildings, trade centers that are maintained by complex engineering systems of heating and water supply, electricity, ventilation, IT and so on, mathematical models and algorithms of mutually interacting systems suffering from failures or deliberate harmful action were reviewed. Special emphasis is put on a failure consequence distribution in an infrastructure and location of the objects that are most important for proper functionality of both separate engineering systems and the infrastructure as a whole. These models are tested on the example of heterogeneous engineering infrastructure of a science and research building, consisting of three engineering systems. During the simulation, the impact indicator of each node's vulnerability is calculated for each scenario. As a result of the calculations, a critical object was found for the considered engineering infrastructure.