Abstract

Cuckoo Search (CS) is a Meta-heuristic method, which exhibits several advantages such as easier to application and fewer tuning parameters. However, it has proven to very easily fall into local optimal solutions and has a slow rate of convergence. Therefore, we propose Modified cuckoo search algorithm with variational parameter and logistic map (VLCS) to ameliorate these defects. To balance the exploitation and exploration of the VLCS algorithm, we not only use the coefficient function to change step size α and probability of detection p a at next generation, but also use logistic map of each dimension to initialize host nest location and update the location of host nest beyond the boundary. With fifteen benchmark functions, the simulations demonstrate that the VLCS algorithm can over come the disadvantages of the CS algorithm.In addition, the VLCS algorithm is good at dealing with high dimension problems and low dimension problems.

Highlights

  • Optimization problems are prevalent in society, such as profit maximization, minimum error, and so on [1,2]

  • Wang et al [23] presented a novel cuckoo search based on chaos theory and elitism

  • This paper proposes modified cuckoo search algorithm with variational parameters and logistic sequences (VLCS)

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Summary

Introduction

Optimization problems are prevalent in society, such as profit maximization, minimum error, and so on [1,2]. Medjahed et al [20] proposed a new framework for band selection problem based on binary cuckoo search. Huang et al [24] proposed a Chaos-enhanced cuckoo search that use logistic map to ameliorate CS. Liu and Fu [25] proposed a cuckoo search algorithm based on frog leaping local search and chaos theory. Li and Cao [27] used a DE algorithm and a CS algorithm to propose a new hybrid optimization algorithm These algorithms have some improvement; some of the them make the CS become difficult to implement, while others increase the complexity of the CS. Many future studies are necessary to develop new effective cuckoo search algorithms for optimization problems [22]. This paper proposes modified cuckoo search algorithm with variational parameters and logistic sequences (VLCS).

Cuckoo Search Algorithm
Nest Location of Each Host Are Initialized by Logistic Map of Each Dimension
Boundary Is Constrained by Logistic Map of Each Dimension
Conclusions
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