This paper presents a study of the behavior of a repeated order queueing system under high-repetition intensity. In particular, a multichannel, fully- available system of type M / M / c / ∞( c channels with Poisson arrival rate &lgr; ) is modeled, taking into account the possibility of departure of some calls from the system due to failure to obtain service.

The method of study proposed is used to obtain asymptotic expansion of steady-state probabilities and main probabilistic characteristics as well as some estimations of remainders.

The type of problem addressed by the paper is a typical teletraffic theory problem. If an arriving primary call finds a free channel, it is serviced and then leaves the system. If all servers are engaged, the primary call produces a call source that, after some delays, produces repeated calls until a free line is found. Interarrival periods, retrial times, and service times are presumed to be mutually independent and negatively exponentially distributed with positive parameters &lgr;, &mgr;, and &ggr; = 1, respectively.