Expected delay analysis of polling systems in heavy traffic

R. D. Van Der Mei, H. Levy

Research output: Contribution to journalArticlepeer-review


We study the expected delay in a cyclic polling model with mixtures of exhaustive and gated service in heavy traffic. We obtain closed-form expressions for the mean delay under standard heavy-traffic scalings, providing new insights into the behaviour of polling systems in heavy traffic. The results lead to excellent approximations of the expected waiting times in practical heavy-load scenarios and moreover, lead to new results for optimizing the system performance with respect to the service disciplines.

Original languageEnglish
Pages (from-to)586-602
Number of pages17
JournalAdvances in Applied Probability
Issue number2
StatePublished - Jun 1998


  • Expected delay
  • Heavy traffic
  • Optimization
  • Polling systems


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