63 citations · 104 across the 3 of their papers we have counts for
3 papers
math.PR2007
Asymptotic distributions and chaos for the supermarket model
Malwina J. Luczak, Colin McDiarmid
In the supermarket model there are n queues, each with a unit rate server. Customers arrive in a Poisson process at rate λn, where 0<λ<1. Each customer chooses d > 2 queues uniform…
math.PR2006★ 63 cited
On the maximum queue length in the supermarket model
Malwina J. Luczak, Colin McDiarmid
There are queues, each with a single server. Customers arrive in a Poisson process at rate , where . Upon arrival each customer selects servers uniformly at…
math.PR2005★ 41 cited
On the power of two choices: Balls and bins in continuous time
Malwina J. Luczak, Colin McDiarmid
Suppose that there are n bins, and balls arrive in a Poisson process at rate λn, where λ>0 is a constant. Upon arrival, each ball chooses a fixed number d of random bins, and is pl…