Polling systems in heavy traffic: Higher moments of the delay

  • Authors:
  • R. D. Van Der Mei

  • Affiliations:
  • AT&T Labs, Middletown, NJ 07748, USA

  • Venue:
  • Queueing Systems: Theory and Applications
  • Year:
  • 1999

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Abstract

We study an asymmetric cyclic polling model with general mixtures of exhaustive and gated service, and with zero switch-over times, in heavy traffic. We derive closed-form expressions for all moments of the steady-state delay at each of the queues, under standard heavy-traffic scalings. The expressions obtained provide new and useful insights into the behavior of polling systems under heavy-load conditions.