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Cuckoo Algorithm

Optimization metaheuristic inspired by the brood parasitic behavior of cuckoos, using egg laying in nests of other species to find optimal solutions.

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Lévy Flight

Random movement characterized by long-distance jumps following a Lévy distribution, enabling efficient exploration of the search space in the cuckoo algorithm.

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Brood Parasitism

Biological behavior where cuckoos lay their eggs in the nests of other birds, serving as a fundamental mechanism for solution diversification in the algorithm.

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Discovery Rate

Probabilistic parameter pa determining the probability that a host nest discovers a parasitic egg and rejects it, controlling the balance between exploration and exploitation.

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Host Nest

Data structure representing a candidate solution in the algorithm, susceptible to receiving parasitic eggs (new solutions) or being abandoned.

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Nest Fitness

Quality measure of a solution represented by a nest, evaluated through the objective function to determine its relative performance.

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Egg Rejection

Mechanism eliminating low-quality solutions when a host nest detects a parasitic egg, simulating natural defensive behavior.

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Cuckoo Migration

Process of cuckoos moving to new search territories, implemented through Lévy flights to avoid local optima.

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Lévy Distribution

Stable probability law with heavy tails, generating random movements allowing occasional large-amplitude jumps in the search space.

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Population Convergence

Tendency of solutions to cluster around a global optimum, measured by the genetic diversity of the nest population over iterations.

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Cuckoo-PSO Hybridization

Combination of the cuckoo algorithm with particle swarm optimization, benefiting from Lévy exploration and PSO's directed exploitation.

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Multi-objective Cuckoo

Extension of the cuckoo algorithm for simultaneous optimization of multiple conflicting objectives, using the Pareto front concept.

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Lévy Neighborhood

Search area defined by the Lévy distribution around a current solution, determining the extent of possible movements for a cuckoo.

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Nest Replacement

Update strategy where low-quality nests are replaced by newly generated solutions, ensuring constant renewal of the population.

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Algorithmic Complexity

Theoretical measure of computational resources required by the cuckoo algorithm, typically O(n×d×max_iter) where n is the population and d the dimension.

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