Mandjes, Michel; Ridder, Ad A large deviations approach to the transient of the Erlang loss model. (English) Zbl 1053.68016 Perform. Eval. 43, No. 2-3, 181-198 (2001). Summary: This paper deals with the transient behavior of the Erlang loss model. After scaling both arrival rate and number of trunks, an asymptotic analysis of the blocking probability is given. Apart from that, the most likely path to blocking is given. Compared to A. Schwartz and A. Weiss [Large deviations for performance analysis. Queues, communication, and computing (1995; Zbl 0871.60021)], more explicit results are obtained by using probabilistic arguments. The computation method is applied to the problem of (real-time) dimensioning of virtual paths in ATM networks, and to the problem of integrating scheduled and switched connections in a single network. Cited in 6 Documents MSC: 68M20 Performance evaluation, queueing, and scheduling in the context of computer systems 68M99 Computer system organization Citations:Zbl 0871.60021 PDFBibTeX XMLCite \textit{M. Mandjes} and \textit{A. Ridder}, Perform. Eval. 43, No. 2--3, 181--198 (2001; Zbl 1053.68016) Full Text: DOI