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Queueing Analysis of a Discrete-Time Multiserver Buffer System with Geometric Service Times

In this paper, a discrete-time multiserver queueing system with infinite buffer size and general independent arrivals is considered. The service times of a packet served by one of the servers are assumed to be independent and identically distributed according to a geometric distribution. Each packet gets service from only one server. In the paper, the behavior of the queueing system is studied analytically by means of a generating-functions approach. This results in closed-form expressions for the mean values, the variances and the tail distributions of the system contents and the packet delay. Some numerical examples are given to illustrate the analysis.