Analysis of state-dependent probabilistic server interruptions in discrete-time queues

This letter considers a problem that arises in the context of statistical, state-dependent resource allocation in communication networks. Specifically, the problem concerns a single-server discrete-time queue with state-dependent probabilistic server interruptions. The system is analyzed for two forms of probabilistic behavior: exponential and hyperbolic forms. The analysis yields several performance metrics of interest, including average system occupancy, average delay, steady-state occupancy distribution.