Journal article
On the power of two choices: Balls and bins in continuous time
- Abstract:
-
Suppose that there are n bins, and balls arrive in a Poisson process at rate \lambda n, where \lambda >0 is a constant. Upon arrival, each ball chooses a fixed number d of random bins, and is placed into one with least load. Balls have independent exponential lifetimes with unit mean. We show that the system converges rapidly to its equilibrium distribution; and when d\geq 2, there is an integer-valued function m_d(n)=\ln \ln n/\ln d+O(1) such that, in the equilibrium distribution, the max...
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- Publication status:
- Published
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- Publisher copy:
- 10.1214/105051605000000205
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Authors
Bibliographic Details
- Journal:
- Annals of Applied Probability
- Volume:
- 15
- Issue:
- 3
- Pages:
- 1733-1764
- Publication date:
- 2005-08-24
- DOI:
- ISSN:
-
1050-5164
- Source identifiers:
-
102293
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:102293
- UUID:
-
uuid:6ec144de-9f83-451b-a229-fc6fb3eba6f5
- Local pid:
- pubs:102293
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2005
- Notes:
-
Published at http://dx.doi.org/10.1214/105051605000000205 in the
Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute
of Mathematical Statistics (http://www.imstat.org)
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