Title
General Upper Bounds on the Running Time of Parallel Evolutionary Algorithms
Abstract
We present a new method for analyzing the running time of parallel evolutionary algorithms with spatially structured populations. Based on the fitness-level method, it yields upper bounds on the expected parallel running time. This allows to rigorously estimate the speedup gained by parallelization. Tailored results are given for common migration topologies: ring graphs, torus graphs, hypercubes, and the complete graph. Example applications for pseudo-Boolean optimization show that our method is easy to apply and that it gives powerful results. In our examples the possible speedup increases with the density of the topology. Surprisingly, even sparse topologies like ring graphs lead to a significant speedup for many functions while not increasing the total number of function evaluations by more than a constant factor. We also identify which number of processors yield asymptotically optimal speedups, thus giving hints on how to parametrize parallel evolutionary algorithms.
Year
Venue
DocType
2012
CoRR
Journal
Volume
Citations 
PageRank 
abs/1206.3522
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Jörg Lässig117522.53
Dirk Sudholt2106364.62