Sentence examples for multimodal function problems from inspiring English sources

Finally, many different kinds of multimodal function problems are illustrated to certify the applicability of the presented method, including one maximum and one minimum, two maximums and two minimums, multiple maximums and multiple minimums, and a complex engineering optimization problem with inequality conditions.

This paper presents a hybrid niching algorithm based on the PSO to deal with multimodal function optimization problems.

In this paper, a multimodal function optimization problem consisting of multiple maximums and multiple minimums is solved using an improved particle swarm optimization (PSO) algorithm.

Because a multimodal function optimization problem makes it mathematically difficult to search large critical slip surface of earth slopes with complex strata, stability analysis is one of the classical problems of geotechnical engineering.

GFA simulates the Gravitation field and outperforms GA and SA in some multimodal functions optimization problem.

Interest in multimodal function optimization is expanding rapidly since real-world optimization problems often require location of multiple optima in a search space.

Their tuning can be performed by any heuristics for multimodal function optimization.

We present Himmelblau's function (Figure 1), which is a multimodal function to test the efficiency of the optimization algorithms.

This table shows two unimodal functions and four multimodal functions used in simulation.

This table shows 5 unimodal functions and 5 multimodal functions used in simulation.

Some classic functions including unimodal and multimodal functions, as well as some modern hard functions, are employed as unconstrained benchmark functions; On the other hand, some well-known engineering design optimization problems commonly used in the literature are considered as constrained benchmark functions.