Article ID: | iaor20002515 |
Country: | United States |
Volume: | 26 |
Issue: | 3/4 |
Start Page Number: | 301 |
End Page Number: | 342 |
Publication Date: | Nov 1997 |
Journal: | Queueing Systems |
Authors: | Schmidt V., Baccelli F., Hasenfuss S. |
Keywords: | petri nets, queueing networks |
We consider a certain class of vectorial evolution equations, which are linear in the (max,+) semi-field. They can be used to model several types of discrete event systems, in particular queueing networks where we assume that the arrival process of customers (tokens, jobs, etc.) is Poisson. Under natural Cramér type conditions on certain variables, we show that the expected waiting time which the