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Timing diagrams are one of the new types of diagrams introduced in UML ver. 2.0. They are the tool which allows us to characterize the behavior of system components with respect to time parameter. In this paper we propose a method of using Timing Diagrams to estimate the overloading of the boundary elements of the system in the earliest possible stage of system designing - based only on the Use Case diagrams and some additional information concerning the behavior of the user of the future system. Some methodology of gathering and evaluating of this information is also presented.