An improved flower pollination algorithm with chaos theory for function optimization

Author(s):  
Ong Pauline ◽  
Ong Kok Meng ◽  
Sia Chee Kiong
Author(s):  
Kok Meng Ong ◽  
Pauline Ong ◽  
Chee Kiong Sia

In this chapter, a real-world mechanical engineering design problem (i.e., determining the angle of twist of propeller in order to maximize its thrust) was solved using modified flower pollination algorithm (MFPA). First, the relationship between angle of twist and the propeller thrust is explained. Then, the amount of experiments needed for this problem is determined using Box-Behnken design, whereas the mathematical model of this problem is developed using response surface methodology. After that, the overview of flower pollination algorithm (FPA) and its limitation is explained in detail. A proposed MFPA based on chaos theory, frog leaping local search, and inertia weight is explained next. The procedure of solving this problem is explained and the result of this problem is shown later with validation. The optimal solutions obtained from MFPA are 89°, 50.9730°, 48.4565°, 44.6729°, and 64.2286° for five angles of twist start from hub until the tip of the blade.


Author(s):  
Dr.Lenin Kanagasabai

In this paper, Tailored Flower Pollination (TFP) algorithm is proposed to solve the optimal reactive power problem. Comprising of the elements of chaos theory, Shuffled frog leaping search and Levy Flight, the performance of the flower pollination algorithm has been improved. Proposed TFP algorithm has been tested in standard IEEE 118 & practical 191 bus test systems and simulation results show clearly the better performance of the proposed algorithm in reducing the real power loss.


2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Rui Wang ◽  
Yongquan Zhou

Flower pollination algorithm (FPA) is a new nature-inspired intelligent algorithm which uses the whole update and evaluation strategy on solutions. For solving multidimension function optimization problems, this strategy may deteriorate the convergence speed and the quality of solution of algorithm due to interference phenomena among dimensions. To overcome this shortage, in this paper a dimension by dimension improvement based flower pollination algorithm is proposed. In the progress of iteration of improved algorithm, a dimension by dimension based update and evaluation strategy on solutions is used. And, in order to enhance the local searching ability, local neighborhood search strategy is also applied in this improved algorithm. The simulation experiments show that the proposed strategies can improve the convergence speed and the quality of solutions effectively.


2021 ◽  
pp. 05-11
Author(s):  
Safaa .. ◽  
◽  
◽  
Ibrahim Elhenawy

Flower pollination algorithm (FPA) is a metaheuristic algorithm that proceeds its representation from flowers' proliferation role in plants. The optimal plant reproduction strategy involves the survival of the fittest as well as the optimal reproduction of plants in terms of numbers. These factors represent the fundamentals of the FPA and are optimization-oriented. Yang developed the FPA in 2012, which has since shown superiority to other metaheuristic algorithms in solving various real-world problems, such as power and energy, signal and image processing, communications, structural design, clustering and feature selection, global function optimization, computer gaming, and wireless sensor networking. Recently, many variants of FPA have been developed by modification, hybridization, and parameter-tuning to cope with the complex nature of optimization problems this paper provides a survey of FPA and its applications.


2021 ◽  
Vol 2021 ◽  
pp. 1-26
Author(s):  
Qian Cheng ◽  
Huajuan Huang ◽  
Minbo Chen

Crow search algorithm (CSA) is a new type of swarm intelligence optimization algorithm proposed by simulating the crows’ intelligent behavior of hiding and retrieving food. The algorithm has the characteristics of simple structure, few control parameters, and easy implementation. Like most optimization algorithms, the crow search algorithm also has the disadvantage of slow convergence and easy fall into local optimum. Therefore, a crow search algorithm based on improved flower pollination algorithm (IFCSA) is proposed to solve these problems. First, the search ability of the algorithm is balanced by the reasonable change of awareness probability, and then the convergence speed of the algorithm is improved. Second, when the leader finds himself followed, the cross-pollination strategy with Cauchy mutation is introduced to avoid the blindness of individual location update, thus improving the accuracy of the algorithm. Experiments on twenty benchmark problems and speed reducer design were conducted to compare the performance of IFCSA with that of other algorithms. The results show that IFCSA has better performance in function optimization and speed reducer design problem.


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