The MISTRAL project is devoted to the elaboration and the analysis of mathematical models for performance evaluation of communication systems and of parallel and distributed systems. The research of the project focuses on two main formalisms : queueing networks and Petri nets. Two complementary approaches are used : the development of (stochastic) mathematical models, and simulation. The research consists of analytical and probabilistic studies of discrete event dynamic systems, scheduling and mapping studies in multiprocessor networks, and control and optimization problems in communication networks.