ABSTRACT
An discrete–continual approach is developed for analysis of the problems on fireresistance estimation and improvement in hierarchical complex technical systems. The generalized characteristic of the catastrophic accidents scale, namely, the rank of the catastrophe is introduced. The conditions of the catastrophe transition from one rank to another are formulated. As an example of the approach application the model problem on improvement of fireresistance by means of protection distribution through the system structural levels is considered and the results of its analytical and numerical solution are given.
