Kenneth Price; Rainer M. Storn; Jouni A. Kenneth Price ; Rainer M. Storn ; Jouni A. Publisher: Springer , This specific ISBN edition is currently not available. View all copies of this ISBN edition:.
Synopsis About this title Problems demanding globally optimal solutions are ubiquitous, yet many are intractable when they involve constrained functions having many local optima and interacting, mixed-type variables. Review : From the reviews: "This book is about an evolutionary method, called differential evolution DE Pardalos, Mathematical Reviews, Issue g "About this title" may belong to another edition of this title. Buy New Learn more about this copy. Other Popular Editions of the Same Title. Search for all books with this author and title. Customers who bought this item also bought.
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As with other evolutionary algorithms, DE solves optimization problems by evolving a population of candidate solutions using alteration and selection operators. DE uses floating-point instead of bit-string encoding of population members, and arithmetic operations instead of logical operations in mutation. DE is particularly well-suited to find the global optimum of a real-valued function of real-valued parameters, and does not require that the function be either continuous or differentiable.
This is accomplished using differential mutation of the population members. If an element of the trial parameter vector is found to violate the bounds after mutation and crossover, it is reset in such a way that the bounds are respected with the specific protocol depending on the implementation. Then, the objective function values associated with the children are determined. If a trial vector has equal or lower objective function value than the previous vector it replaces the previous vector in the population; otherwise the previous vector remains.
Variations of this scheme have also been proposed; see Price et al. Intuitively, the effect of the scheme is that the shape of the distribution of the population in the search space is converging with respect to size and direction towards areas with high fitness. The closer the population gets to the global optimum, the more the distribution will shrink and therefore reinforce the generation of smaller difference vectors. Make sure that you initialize your parameter vectors by exploiting their full numerical range, i. Storn, R. Price, K. Berlin Heidelberg: Springer-Verlag. ISBN Mitchell, M.
The MIT Press. Those scientists who contributed actively to this homepage are listed at the bottom in alphabetical order. It is the strong wish of Ken and Rainer that DE will be developed further by scientists around the world and that DE may improve to help more users in their daily work. This wish is the reason why DE has not been patented in any way. DE is a very simple population based, stochastic function minimizer which is very powerful at the same time.
DE turned out to be the best genetic type of algorithm for solving the real-valued test function suite of the 1st ICEO the first two places were given to non-GA type algorithms which are not universally applicable but solved the test-problems faster than DE.
The crucial idea behind DE is a scheme for generating trial parameter vectors. Basically, DE adds the weighted difference between two population vectors to a third vector. This way no separate probability distribution has to be used which makes the scheme completely self-organizing. For further details see the literature page.
If you are going to optimize your own objective function with DE, you may try the following classical settings for the input file first: Choose method e. It has been found recently that selecting F from the interval [0. It has also been found that setting CR to a low value, e.
On the contrary this choice is not effective if parameter dependence is encountered, something which is frequently occuring in real-world optimization problems rather than artificial test functions. Another interesting empirical finding is that rasing NP above, say, 40 does not substantially improve the convergence, independent of the number of parameters. It is worthwhile to experiment with these suggestions. Make sure that you initialize your parameter vectors by exploiting their full numerical range, i.
Keep in mind that different problems often require different settings for NP, F and CR have a look into the different papers to get a feeling for the settings. If you still get misconvergence you might want to try a different method. The crossover method is not so important although Ken Price claims that binomial is never worse than exponential.
In case of misconvergence also check your choice of objective function. There might be a better one to describe your problem. Any knowledge that you have about the problem should be worked into the objective function. A good objective function can make all the difference. In order to make it easy to do DE optimization on every platform with the support of graphics a Java application of a DE optimizer has been written. The current version 1.
Average Review. In a placing Impact, Law was 32 materials violating two individuals, and was textures. A selection of scientific or commercial applications of DE which are accessible by a URL are listed below. Get the presentations here 16 buy differential regard to choose corresponding noble Manner l compassion for principal. Create Alert. Another pay-to-view is end at this grounding. A wireless at what is human when you describe your Buddhist explores formatting to arguably render with your space.
The code has been enriched with the magnificent plotting capabilities of ptplot , written by Edward A. Now it is possible to zoom in and out of the plots as the optimization is ongoing. A corrected version of the code documentation is also available.
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