We extend the lower bound of Adler et. al [1] and Berenbrink [3] for parallel randomized load balancing algorithms. The setting in these asynchronous and distributed algorithms is...
We investigate balls-and-bins processes where m weighted balls are placed into n bins using the "power of two choices" paradigm, whereby a ball is inserted into the less...
It is well known that after placing n balls independently and uniformly at random into n bins, the fullest bin holds (logn=log logn) balls with high probability. Recently, Azar et...
Micah Adler, Soumen Chakrabarti, Michael Mitzenmac...
A standard load balancing model considers placing Ò balls into Ò bins by choosing possible locations for each ball independently and uniformly at random and sequentially placing...
Michael Mitzenmacher, Balaji Prabhakar, Devavrat S...
The study of hashing is closely related to the analysis of balls and bins; items are hashed to memory locations much as balls are thrown into bins. In particular, Azar et. al. [2] ...