On polling systems with large setups

Polling systems with large deterministic setup times find many applications in production environments. The present note studies the delay distribution in exhaustive polling systems when the setup times tend to infinity. Based on the recently proposed mean value analysis (MVA) for polling systems, a novel simple approach is developed to show that the scaled delay distribution converges to a uniform distribution. Since MVA is not limited to exhaustive polling systems, the analysis of the present note can be readily extended to a wide range of polling systems.