This paper an analytical model for estimating packet waiting times at stations in the DQDB network, where the most upstream station is saturated. This model is useful in comparing the extreme unfairness which downstream stations experience due to their geographical locations in accessing the medium. Each station is modeled as an M/G/1, where the service time is defined to be the time a packet spends in the transmission buffer. The service time is decomposed into five components, and in turn, the first and second moment of each component are derived in three different modes of operation. Simulation experiments are presented for model validation and results are discussed.