On the Busy Period in One Finite Queue of M/G/1 Type with Inactive Orbit

Abstract

The paper deals with a single server finite queuing system
where the customers, who failed to get service, are temporarily blocked in
the orbit of inactive customers. This model and its variants have many
applications, especially for optimization of the corresponding models with
retrials. We analyze the system in non-stationary regime and, using
the discrete transformations method study, the busy period length and
the number of successful calls made during it.

ACM Computing Classification System (1998): G.3, J.7.