A hybrid cooperative search algorithm for constrained optimization

Cooperative coevolutionary differential evolution with improved augmented Lagrangian to solve constrained optimisation problems

“…x 1 and x 2 can only be the integer multiples of 0.0625 inch [2]. Table 8 presents the statistical results for CCiALF, Coe02 [8], HCP [29], COMDE [27], MVDE [11] and CB-ABC [5] algorithms. The best found solution obtained by CCiALF is f CCiALF = 6059.7143350 with the decision vector:…”

“…They proposed a Gaussian probability distribution for the acceleration coefficient in PSO. Nema et al [29] presented a hybrid coevolutionary algorithm with the min-max approach to solve constrained optimisation problems. They also used an augmented Lagrangian method to handle constraints.…”

Bidirectional Dynamic Diversity Evolutionary Algorithm for Constrained Optimization

“…(10) to correct the scale of each agents according to formulas (20) and (21); (11) to select better CAs as next BAs according to the scale of PA in each partition; (12) to judge whether the breaking conditions are met. If so, then it continue to next step; otherwise it jumps to step (3);…”

“…To extend this application to constrained optimization, penalty functions are usually used to handle these multiple constraint [18,19], which will transform the problems into unconstrained ones but meanwhile make original objective function more complex. Previous researches [20][21][22] have suggested that evolutionary algorithms (EAs) can be widely used to tackle such problems. Many successful applications of EAs have been reported to solve engineering problems such as industrial design [23,24] and military management [25].…”

“…It is because mutually reinforcing will make hybrid algorithm fit for difficult optimization problems where acceptable solutions can be achieved [45][46][47]. Recently, coevolutionary algorithms (CoEAs) have been extensively studied in solving complex constrained optimization problems [20]. It can be considered as a new form of hybrid algorithm with high efficiency in exchanging information between agents.…”