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Mathematical Problems in Engineering
Volume 2014, Article ID 345129, 10 pages
Research Article

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

School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, China

Received 26 March 2014; Revised 3 June 2014; Accepted 3 June 2014; Published 22 June 2014

Academic Editor: Alexander N. Dudin

Copyright © 2014 Renbin Liu and Zhaohui Deng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.