Waiting time with critical load for priority systems with semi-Markov service

On the Analysis of the Virtual Waiting Time in Open Queueing Networks

“…In other papers of this research trend (see [29,31,32]), conditional distributions of the virtual time process (quasistationary distributions) in heavy traffic are investigated. In [19] and [3], asymptotic expressions with relative and low priority customers for the virtual waiting time in a single-server queue under heavy traffic are derived. Books [5,43] summarized the research on the virtual waiting time in a single-server queue in various heavy traffic situations.…”