Delay in polling systems in heavy traffic

Robert D. van der Mei

doi:10.1117/12.325862

7 October 1998 Delay in polling systems in heavy traffic

Robert D. van der Mei

Proceedings Volume 3530, Performance and Control of Network Systems II; (1998) https://doi.org/10.1117/12.325862
Event: Photonics East (ISAM, VVDC, IEMB), 1998, Boston, MA, United States

Abstract

We study the delay in asymmetric cyclic polling systems with general mixtures of gated and exhaustive service, with generally distributed service times and switch-over times, in heavy traffic. We obtain closed-form expressions for all moments of the delay incurred at each of the queues. The expressions are strikingly simple and can even be expressed as finite products of known factors. The results provide new insights into the heavy-traffic behavior of polling systems.

Citation Download Citation

Robert D. van der Mei "Delay in polling systems in heavy traffic", Proc. SPIE 3530, Performance and Control of Network Systems II, (7 October 1998); https://doi.org/10.1117/12.325862

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