## The Power of Two Random Choices: A Survey of Techniques and Results (2000)

Venue: | in Handbook of Randomized Computing |

Citations: | 99 - 2 self |

### BibTeX

@INPROCEEDINGS{Mitzenmacher00thepower,

author = {Michael Mitzenmacher and Andréa W. Richa and Ramesh Sitaraman},

title = {The Power of Two Random Choices: A Survey of Techniques and Results},

booktitle = {in Handbook of Randomized Computing},

year = {2000},

pages = {255--312},

publisher = {Kluwer}

}

### Years of Citing Articles

### OpenURL

### Abstract

ITo motivate this survey, we begin with a simple problem that demonstrates a powerful fundamental idea. Suppose that n balls are thrown into n bins, with each ball choosing a bin independently and uniformly at random. Then the maximum load, or the largest number of balls in any bin, is approximately log n= log log n with high probability. Now suppose instead that the balls are placed sequentially, and each ball is placed in the least loaded of d 2 bins chosen independently and uniformly at random. Azar, Broder, Karlin, and Upfal showed that in this case, the maximum load is log log n= log d + (1) with high probability [ABKU99]. The important implication of this result is that even a small amount of choice can lead to drastically different results in load balancing. Indeed, having just two random choices (i.e.,...