On the maximum queue length in the supermarket model
<p style="text-align:justify;"> There are n queues, each with a single server. Customers arrive in a Poisson process at rate λn, where 0<λ<1. Upon arrival each customer selects d≥2 servers uniformly at random, and joins the queue at a least-loaded server among those ch...
Main Authors: | Luczak, MJ, McDiarmid, C |
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Format: | Journal article |
Udgivet: |
Institute of Mathematical Statistics
2006
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