On the Steady-State System Size Distribution for a Discrete-Time GeoG1 Repairable Queue

Abstract EN

This paper studies a discrete-time N-policy Geo/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.