We derive the value of the mutation probability which maximizes the pr
obability that the genetic algorithm finds the optimum value of the ob
jective function under simple assumptions. This value is compared with
the optimum mutation probability derived in other studies. An empiric
al study shows that this value, when used with a larger scaling factor
in linear scaling, improves the performance of the genetic algorithm.
This feature is then added to a model developed by Hinton and Nowlan
which allows certain bits to be guessed in an effort to increase the p
robability of finding the optimum solution.