A Guided Differential Evolutionary Multi-Tasking with Powell Search Method for Solving Multi-Objective Continuous Optimization

Recent years, the field of Multi-Objective Optimization (MOO) has attracted remarkable consideration among evolutionary computation researchers. Evolutionary multitasking paradigm within the domain of MOO has been proposed and demonstrated on some benchmark test functions that indicates potential applications in real world problems. The concept of evolutionary multi-tasking is founded on the fact that individuals from various cultures may share their underlying similarities, thereby facilitating improved convergence characteristics. However, the designate algorithm for MOO multi-tasking is originated from pure genetic search that means it does not imply any advanced local refinement method which also improves the rate of convergence. Memetic algorithms, which is known as a synergy of evolutionary with separate individual learning or local improvement procedures for problem search, offers converging to high-quality solutions more efficiently than their conventional evolutionary counterparts. Accordingly, in this paper, to excel MOO multi-tasking paradigm performance, we propose an algorithm which is based on the idea of Multi-Factorial Evolutionary Algorithm (MFEA) employing Guided differential evolutionary and Powell local search. The accomplished experimental results point out using memetic techniques does an impressive enhancement on Multi-objective continuous optimization.

[1]  Abdullah Alsheddy,et al.  Empowerment Scheduling: A Multi-objective Optimization Approach Using Guided Local Search , 2011 .

[2]  Qingfu Zhang,et al.  Evolutionary Multitasking for Multiobjective Continuous Optimization: Benchmark Problems, Performance Metrics and Baseline Results , 2017, ArXiv.

[3]  P. N. Suganthan,et al.  Differential Evolution: A Survey of the State-of-the-Art , 2011, IEEE Transactions on Evolutionary Computation.

[4]  C. Fonseca,et al.  GENETIC ALGORITHMS FOR MULTI-OBJECTIVE OPTIMIZATION: FORMULATION, DISCUSSION, AND GENERALIZATION , 1993 .

[5]  R. K. Ursem Multi-objective Optimization using Evolutionary Algorithms , 2009 .

[6]  Chuan-Kang Ting,et al.  Evolutionary many-tasking based on biocoenosis through symbiosis: A framework and benchmark problems , 2017, 2017 IEEE Congress on Evolutionary Computation (CEC).

[7]  Yew-Soon Ong,et al.  Multifactorial Evolution: Toward Evolutionary Multitasking , 2016, IEEE Transactions on Evolutionary Computation.

[8]  Wentong Cai,et al.  Differential evolution with sensitivity analysis and the Powell's method for crowd model calibration , 2015, J. Comput. Sci..

[9]  M. J. D. Powell,et al.  An efficient method for finding the minimum of a function of several variables without calculating derivatives , 1964, Comput. J..

[10]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[11]  Yew-Soon Ong,et al.  Evolutionary Multitasking: A Computer Science View of Cognitive Multitasking , 2016, Cognitive Computation.

[12]  David E. Goldberg,et al.  A niched Pareto genetic algorithm for multiobjective optimization , 1994, Proceedings of the First IEEE Conference on Evolutionary Computation. IEEE World Congress on Computational Intelligence.

[13]  Chuan-Kang Ting,et al.  Parting ways and reallocating resources in evolutionary multitasking , 2017, 2017 IEEE Congress on Evolutionary Computation (CEC).

[14]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[15]  Peter J. Fleming,et al.  Genetic Algorithms for Multiobjective Optimization: FormulationDiscussion and Generalization , 1993, ICGA.

[16]  Kay Chen Tan,et al.  Multiobjective Multifactorial Optimization in Evolutionary Multitasking , 2017, IEEE Transactions on Cybernetics.