TY - GEN

T1 - Parallel randomized load balancing

T2 - 36th Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2010

AU - Even, Guy

AU - Medina, Moti

PY - 2010/3/1

Y1 - 2010/3/1

N2 - We extend the lower bound of Adler et. al [1] and Berenbrink [2] for parallel randomized load balancing algorithms. The setting in these asynchronous and distributed algorithms is of n balls and n bins. The algorithms begin by each ball choosing d bins independently and uniformly at random. The balls and bins communicate to determine the assignment of each ball to a bin. The goal is to minimize the maximum load, i.e., the number of balls that are assigned to the same bin. In [1,2], a lower bound of Ω (r√log n/ log log n)is proved if the communication is limited to r rounds. Three assumptions appear in the proofs in [1,2]: the topological assumption, random choices of confused balls, and symmetry. We extend the proof of the lower bound so that it holds without these three assumptions. This lower bound applies to every parallel randomized load balancing algorithm we are aware of [1,2,3,4].

AB - We extend the lower bound of Adler et. al [1] and Berenbrink [2] for parallel randomized load balancing algorithms. The setting in these asynchronous and distributed algorithms is of n balls and n bins. The algorithms begin by each ball choosing d bins independently and uniformly at random. The balls and bins communicate to determine the assignment of each ball to a bin. The goal is to minimize the maximum load, i.e., the number of balls that are assigned to the same bin. In [1,2], a lower bound of Ω (r√log n/ log log n)is proved if the communication is limited to r rounds. Three assumptions appear in the proofs in [1,2]: the topological assumption, random choices of confused balls, and symmetry. We extend the proof of the lower bound so that it holds without these three assumptions. This lower bound applies to every parallel randomized load balancing algorithm we are aware of [1,2,3,4].

KW - Balls and bins

KW - Load balancing

KW - Lower bounds

KW - Static randomized parallel allocation

UR - http://www.scopus.com/inward/record.url?scp=77249126467&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-11266-9_30

DO - 10.1007/978-3-642-11266-9_30

M3 - Conference contribution

AN - SCOPUS:77249126467

SN - 3642050050

SN - 9783642050053

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 358

EP - 369

BT - SOFSEM 2010

Y2 - 23 January 2010 through 29 January 2010

ER -