Article ID: | iaor1999431 |
Country: | United Kingdom |
Volume: | 34 |
Issue: | 3 |
Start Page Number: | 720 |
End Page Number: | 732 |
Publication Date: | Sep 1997 |
Journal: | Journal of Applied Probability |
Authors: | Kroese Dirk P. |
We consider a continuous polling system in heavy traffic. Using the relationship between such systems and age-dependent branching processes, we show that the steady-state number of waiting customers in heavy traffic has approximately a gamma distribution. Moreover, given their total number, the configuration of these customers is approximately deterministic.