Stability analysis of multi-server discrete-time queuing systems with interruptions and regenerative input flow

This presentation is focused on a discrete-time multichannel queueing system with heterogeneous servers, regenerative input flow, and interruptions. The breakdowns of servers may occur at any time even if they are not occupied by customers. Consecutive moments of breakdowns are defined by a renewal process. We consider the preemptive repeat different service discipline, i.e. after restoration service is repeated from the start and the service time is independent of the original service time. Service times are independent random variables with finite mean. Exploiting coupling method the necessary and sufficient stability condition for the system is established.