Asymptotic properties of stochastic timed event graphs

This paper addresses the asymptotic properties of stochastic timed event graphs. The transition firing times are random variables with general distribution. Asymptotic properties with respect to the net structure, the transition firing times and the initial marking are established on the basis of some new performance bounds. Applications to manufacturing systems are presented. We prove in particular a conjecture which claims that the throughput rate of a transfer line decreases to a positive value when the number of machines increases.