Flower pollination algorithm
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Company LOGO Scientific Research Group in Egypt (SRGE) Flower pollination algorithm Dr. Ahmed Fouad Ali Suez Canal University, Dept. of Computer Science, Faculty of Computers and informatics Member of the Scientific Research Group in Egypt .
Transcript of Flower pollination algorithm
CompanyLOGO
Scientific Research Group in Egypt (SRGE) Flower pollination algorithm
Dr. Ahmed Fouad AliSuez Canal University,
Dept. of Computer Science, Faculty of Computers and informaticsMember of the Scientific Research Group in Egypt .
CompanyLOGO Outline1. Flower pollination algorithm (History and main idea)
3. Flower pollination algorithm behavior
2. Characteristics of flower pollination
6. References
4. Flower pollination algorithm
5. Application of the flower pollination algorithm
CompanyLOGO Flower pollination algorithm (History
and main idea)
•Flower pollination algorithm (FPA) is a nature- inspired population based algorithm proposed by Xin-She Yang (2012).
•The main objective of the flower pollination is to produce the optimal reproduction of plants by surviving the most fittest flowers in the flowering plants.
•In fact this is an optimization process of plants in species.
CompanyLOGO Characteristics of flower
pollination•There are over a quarter of a million types of flowering plants in Nature, 80% of them are flowering species.
•The main purpose of a flower is ultimately reproduction via pollination.
•Flower pollination process is associated with the transfer of pollen by using pollinators such as insects, birds, bats,...etc.
CompanyLOGO Characteristics of flower
pollination (Cont.)•There are two major process for transferring the pollen
Biotic and cross pollination process.
Abiotic and self pollination Process
Cross pollination process
Self pollination Process
CompanyLOGO Characteristics of flower
pollination (Cont.)Biotic and cross pollination process.
•Biotic pollination represents 90% of flowering plants, while 10% of pollination takes from abiotic process.
•In the biotic pollination, pollen is transferred from one flower to other flower in different plant by a pollinator such as insects, birds, bats,…etc.
•Biotic, cross-pollination may occur at long distance and they can considered as a global
pollination process with pollinators performing Le'vy flights.
CompanyLOGO Characteristics of flower
pollination (Cont.)Abiotic and self pollination Process
•On the other hand, abiotic or self pollination process is a fertilization of one flower from pollen of the same flower of different flower of the same plant.
• In this type of pollination, wind and diffusion in water help pollination of such flowering plants.
•Abiotic and self pollination process are considered as local pollination.
CompanyLOGO Flower pollination algorithmPopulatio
n initialization
Exploration process
Exploitation process
Solutions update
CompanyLOGO Flower pollination algorithm
(Cont.)
Step 1. The algorithm starts by setting the initial values of the most important parameters such as the population size n, switch probability p and the maximum number of generations MGN.
Step 2. The initial population xi, i = 1,…,n is generated randomly and the fitness function of each solution f(xi) in the population is evaluated by calculating its corresponding objective function.
Step 3. The following steps are repeated until the termination criterion satisfied, which is to reach the desired number of generations MGN.
CompanyLOGO Flower pollination algorithm
(Cont.)
Step 3.1. The global pollination process is started by generating a random number r, where rϵ[0,1], for each solution xi.
Step 3.2. If r < p, where p is a switch probability, the new solution is generated by a Le'vy distribution as follow.
Where L is a Le'vy flight, L > 0 and calculated as follow.
CompanyLOGO Flower pollination algorithm
(Cont.)
• Γ(λ) is the standard gamma function and this distribution is valid for large steps s > 0.
Step 3.3. Otherwise, the local pollination process is started by generating a random number ϵ, ϵ in [0,1] as follow
Where xit , xj
t are pollens (solutions) from the different lowers of the same plant species. If xi
t , xjt comes from the same
species or selected from the same population, this become a local random walk.
CompanyLOGO Flower pollination algorithm
(Cont.)
Step 3.4. Evaluate each solution xit+1 in the
population and update the solutions in the population according to their objective values.
Step 3.4. Rank the solutions and find the current best solution g*.
Step 4. Produce the best found solution so far.
CompanyLOGO Application of the FP Algorithm
•Engineering optimization problems
•NP hard combinatorial optimization problems
•Data fusion in wireless sensor networks
•Nanoelectronic technology based operation-amplifier
• (OP-AMP)
•Train neural network
•Manufacturing scheduling
•Nurse scheduling problem
CompanyLOGO References Yang, X. S. (2012), Flower pollination algorithm for global optimization, in: Unconventional Computation and Natural Computation, Lecture Notes in Computer Science, Vol. 7445, pp. 240-249.
The animated photos are taken from the following website http://www.fs.fed.us/wildflowers/pollinators/index.shtml
