%T Accurate Calculation of Deme Sizes for a Parallel Genetic Scheduling Algorithm
%A M. Moore
%E Jan F. Broenink, Gerald H. Hilderink
%B Communicating Process Architectures 2003
%X The accuracies of three equations to determine the size of
populations for serial and parallel genetic algorithms are
evaluated when applied to a parallel genetic algorithm that
schedules tasks on a cluster of computers connected via
shared bus. This NP\-complete problem is representative of a
variety of optimisation problems for which genetic
algorithms (GAs) have been shown to effectively approximate
the optimal solution. However, empirical determination of
parameters needed by both serial and parallel GAs is
time\-consuming, often impractically so in production
environments. The ability to predetermine parameter values
mathematically eliminates this difficulty. The parameter
that exerts the most influence over the solution quality of
a parallel genetic algorithm is the population size of the
demes. Comparisons here show that the most accurate equation
for the scheduling application is Cant\[`u]\-Paz\[rs] serial
population sizing calculation based on the gambler\[rs]s
ruin model . The study presented below is part of an
ongoing analysis of the effectiveness of parallel genetic
algorithm parameter value computations based on schema
theory. The study demonstrates that the correct deme size
can be predetermined quantitatively for the scheduling
problem presented here, and suggests that this may also be
true for similar optimisation problems. This work is
supported by NASA Grant NAG9\-140.
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