In: Journal of Discrete Event Dynamics Systems: Theory and Apllications, pages 181-203. September 1994.
Abstract: This paper addresses the asymptotic properties of STEG. The transition firing time 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 transfert lines decreases to a positive value when the number of machines increases.
Keywords: Stochastic timed event graphs; performance bounds; asymptotic properties.