A note on polling models with renewal arrivals and nonzero switch-over times
Operations Research Letters , Volume 36 p. 500- 505
We consider polling systems with general service times and switch-over times, gated service at all queues and with general renewal arrival processes. We derive closed-form expressions for the expected delay in heavy-traffic (HT). So far, rigorous proofs of HT limits have only been obtained for Poisson-type arrival processes, whereas for renewal arrivals HT limits are based on conjectures.