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Genetic algorithms, in contrast to the one-solution-at-a-time approach of most optimization algorithms, maintain a population of hundreds, or thousands, of solutions in speedy manner.
However, one should remember that most optimization algorithms search for a local maximum only and may therefore fail to reach the global maximum: however, in simulations (Section 2), we did not observe convergence to any spurious local maximum.
Although small, this error level makes most optimization algorithms inadequate.
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Genetic algorithms are one of the most adaptable optimization algorithms.
The genetic algorithm (Holland 1975) is one of the most common optimization algorithms employed in various engineering problems.
The QAP inherent combinatorial structure makes the most efficient optimization algorithms to exhibit low performance for real size instances.
One of the simplest but most powerful optimization algorithms is imperialist competitive algorithm (ICA) outperforming many of the already existing optimization techniques.
In this paper we review the most important optimization algorithms based on nonlinear physics, how they have been constructed from specific modeling of a real phenomena, and also their novelty in terms of comparison with alternative existing algorithms for optimization.
Advancements in the PSO development over the last decade have made it one of the most promising optimization algorithms for a wide range of complex engineering optimization problems which traditional derivative-based optimization techniques cannot handle.
Most engineering optimization algorithms are based on numerical linear and nonlinear programming methods that require substantial gradient information and usually seek to improve the solution in the neighborhood of a starting point.
An overview of the most successful optimization algorithms together with their best suited settings can be found in Table 4. Tribes is not the very best optimization algorithm but yields meaningful results for all models.
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