By William G. Andrew, H.B. Williams
This quantity covers device engineering details, together with time-saving charts, tables, graphs, and calculations for designers, engineers, and operators.
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Extra resources for Applied Instrumentation in the Process Industries, Volume 3: Engineering Data and Resource Manual
For a convex space S, every point So E 5 and any line p such that So E p, P intersects the boundaries of 5 at precisely two points, denoted by l~o and u~o . 3 different mutation operations are designed based on this characteristic. 1. For uniform mutation, the mutating gene Vk which is the k-th component of chromosome St is a random value from the range [l(1,)' u(1,)] where l(1,) and u(1,) are the k-th components of the vectors l;' and u;', respectively s' < s, an d l (k) _ u(k)' 2. For boundary mutation, the mutating gene Vk is either l(k) or u(1,) with equal probability.
All in all, the modification in chromosome representation comprises an endless list and is largely dependent on the nature of individual problems. A well chosen chromosome format can enhance the understanding of the problem formulation and also alleviate the burden of practical implementation. 2 Objective and Fitness Functions An objective function is a measuring mechanism that is used to evaluate the status of a chromosome. This is a very important link to relate the GA and the system concerned.
2 Mutation Originally, mutation was designed only for the binary-represented chromosome. 6) where 9 is the real value gene; 'ljJ is a random function which may be Gaussian or normally distributed; 11, u are the mean and variance related with the random function, respectively. 3 Operational Rates Settings The choice of an optimal probability operation rate for crossover and mutation is another controversial debate for both analytical and empirical investigations. The increase of crossover probability would cause the recombination of building blocks to rise, and at the same time, it also increases the disruption of good chromosomes.