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This paper examines a discrete-time modified D-policy Geo/G/1 queue with Bernoulli feedback. Using a decomposition method, the steady-state system size distribution at epoch is obtained. Moreover, the steady-state system size distributions at epochs and are also derived. Two special cases are given. Finally, a wireless local area network is numerically presented to validate the applicability of steady-state system size distribution and its important application in system capacity design.

The Steady-State System Size Distribution for a Modified D-Policy Geo/G/1 Queueing System