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.
, , ,
Operations Research Letters

van der Mei, R., & Winands, E. M. M. (2008). A note on polling models with renewal arrivals and nonzero switch-over times. Operations Research Letters, 36, 500–505.