On the steady-state system size distribution for a discrete-time \(\mathrm{Geo}/\mathrm{G}/1\) repairable queue (Q2321550)

Summary: This paper studies a discrete-time N-policy \(\mathrm{Geo}/\mathrm{G}/1\) queueing system with feedback and repairable server. With a probabilistic analysis method and renewal process theory, the steady-state system size distribution is derived. Further, the steady-state system size distribution derived in this work is extremely suitable for numerical calculations. Numerical example illustrates the important application of steady-state system size distribution in system capacity design for a network access proxy system.