Abstract
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.
Original language | Undefined |
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Pages (from-to) | 720-732 |
Number of pages | 13 |
Journal | Journal of applied probability |
Volume | 34 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1997 |
Keywords
- IR-98530
- METIS-140769