A note on polling models with renewal arrivals and nonzero switch-over times

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 [5, 6, 8].

• Type: Journal
• Year: 2008
• Where: ORL
• Authors: Robert D. van der Mei, Erik M. M. Winands
• Keywords: Arrivals Ht Limits, General Service Times, HT Limits, ORL 2008