×

A large deviations approach to the transient of the Erlang loss model. (English) Zbl 1053.68016

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.

MSC:

68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
68M99 Computer system organization

Citations:

Zbl 0871.60021
PDFBibTeX XMLCite
Full Text: DOI