An Analysis of Multiple Particle Swarm Optimizers with Inertia Weight for Multi-objective Optimization

An improved particle swarm optimizer with inertia weight (PSOIW ) was applied to multi-objective optimization (MOO). For further improving its search performance, in this paper, we propose to use a cooperative PSO method called multiple particle swarm optimizers with inertia weight (MPSOIW ) to search. The crucial idea of the MPSOIW , here, is to reinforce the search ability of the PSOIW by the union's power of plural swarms, i.e. distributed processing. To demonstrate the search performance and effect of the proposal, computer experiments on a suite of 2-objective optimization problems are carried out by an aggregation-based manner. The resulting Pareto-optimal solution distributions corresponding to each given problem indicate that the linear weighted aggre- gation among the adopted three kinds of dynamic weighted aggregations is the most suitable for acquiring better search results. Throughout quantitative analysis to experimental data, we clarify the search characteristics and performance effect of the MPSOIW contrast with that of the original PSOIW, PSOIW , and MPSOIW.

[1]  Roger J.-B. Wets,et al.  Minimization by Random Search Techniques , 1981, Math. Oper. Res..

[2]  Hong Zhang,et al.  Assessment of an evolutionary particle swarm optimizer with inertia weight , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[3]  Naoto Yorino,et al.  Application of Multi‐Objective Evolutionary Optimization Algorithms to Reactive Power Planning Problem , 2008 .

[4]  Jeng-Shyang Pan,et al.  A Parallel Particle Swarm Optimization Algorithm with Communication Strategies , 2005, J. Inf. Sci. Eng..

[5]  Hong Zhang The Performance Analysis of an Improved PSOIW for Multi-objective Optimization , 2012 .

[6]  Hong Zhang Multiple Particle Swarm Optimizers with Inertia Weight for Multi-objective Optimization , 2012 .

[7]  R. S. Laundy,et al.  Multiple Criteria Optimisation: Theory, Computation and Application , 1989 .

[8]  Hong Zhang,et al.  Characterization of particle swarm optimization with diversive curiosity , 2009, Neural Computing and Applications.

[9]  Wang Zhixin,et al.  Cooperative-PSO-based PID neural network integral control strategy and simulation research with asynchronous motor controller design , 2009 .

[10]  Hong Zhang,et al.  Evolutionary Particle Swarm Optimization (EPSO) - Estimation of Optimal PSO Parameters by GA , 2007, IMECS.

[11]  Frans van den Bergh,et al.  An analysis of particle swarm optimizers , 2002 .

[12]  R. Eberhart,et al.  Comparing inertia weights and constriction factors in particle swarm optimization , 2000, Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512).

[13]  M. R. AlRashidi,et al.  A Survey of Particle Swarm Optimization Applications in Power System Operations , 2006 .

[14]  Lothar Thiele,et al.  Comparison of Multiobjective Evolutionary Algorithms: Empirical Results , 2000, Evolutionary Computation.

[15]  P. Hajela,et al.  Genetic search strategies in multicriterion optimal design , 1991 .

[16]  Chia-Feng Juang,et al.  A hybrid of genetic algorithm and particle swarm optimization for recurrent network design , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[17]  Hong Zhang,et al.  The performance verification of an evolutionary canonical particle swarm optimizer , 2010, Neural Networks.

[18]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

[19]  Bernhard Sendhoff,et al.  Constructing Dynamic Optimization Test Problems Using the Multi-objective Optimization Concept , 2004, EvoWorkshops.

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

[21]  M Reyes Sierra,et al.  Multi-Objective Particle Swarm Optimizers: A Survey of the State-of-the-Art , 2006 .

[22]  C.A. Coello Coello,et al.  MOPSO: a proposal for multiple objective particle swarm optimization , 2002, Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600).

[23]  J. Spall STOCHASTIC OPTIMIZATION , 2002 .

[24]  Dou Quan Swarm-Core Evolutionary Particle Swarm Optimization , 2005 .

[25]  Nirbhow Jap Singh,et al.  Application of Particle Swarm Optimization , 2012 .

[26]  Hong Zhang,et al.  Multiple P article Swarm Optimizers with Inertia Weight with Diversive Curiosity and Its Performance Test , 2011 .

[27]  member Iaeng,et al.  Multiple Particle Swarm Optimizers with Inertia Weight with Diversive Curiosity and Its Performance Test , 2011 .

[28]  Panos M. Pardalos,et al.  A survey of recent developments in multiobjective optimization , 2007, Ann. Oper. Res..

[29]  Maurice Clerc,et al.  The particle swarm - explosion, stability, and convergence in a multidimensional complex space , 2002, IEEE Trans. Evol. Comput..

[30]  Ralph E. Steuer Multiple criteria optimization , 1986 .

[31]  Pablo Moscato,et al.  On Evolution, Search, Optimization, Genetic Algorithms and Martial Arts : Towards Memetic Algorithms , 1989 .

[32]  John H. Smith Preparation of Papers for the IAENG International Journal of Computer Science , 2009 .

[33]  Hong Zhang,et al.  Multiple Particle Swarm Optimizers with Diversive Curiosity , 2010 .

[34]  R. Nagarajan,et al.  Application of Particle Swarm Optimization for EEG Signal Classification , 2008 .

[35]  Kalyanmoy Deb,et al.  Multiobjective Problem Solving from Nature: From Concepts to Applications , 2008, Natural Computing Series.

[36]  Xiaodong Li,et al.  On performance metrics and particle swarm methods for dynamic multiobjective optimization problems , 2007, 2007 IEEE Congress on Evolutionary Computation.

[37]  Ching-Shih Tsou,et al.  Using Crowding Distance to Improve Multi-Objective PSO with Local Search , 2007 .

[38]  Jasbir S. Arora,et al.  Survey of multi-objective optimization methods for engineering , 2004 .

[39]  Yue Shi,et al.  A modified particle swarm optimizer , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[40]  Jie Zhang,et al.  The Performance Measurement of a Canonical Particle Swarm Optimizer with Diversive Curiosity , 2010, ICSI.

[41]  Sanghamitra Bandyopadhyay,et al.  Multi-Objective Particle Swarm Optimization with time variant inertia and acceleration coefficients , 2007, Inf. Sci..

[42]  Qingfu Zhang,et al.  Prediction-Based Population Re-initialization for Evolutionary Dynamic Multi-objective Optimization , 2007, EMO.

[43]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[44]  Mohammed El-Abd,et al.  A Taxonomy of Cooperative Particle Swarm Optimizers , 2008 .

[45]  Prabhat Hajela,et al.  Genetic search strategies in multicriterion optimal design , 1991 .

[46]  Andries Petrus Engelbrecht,et al.  A Cooperative approach to particle swarm optimization , 2004, IEEE Transactions on Evolutionary Computation.