- 期刊
Performance Comparison of Variant Differential Evolution Strategies on Two Classical Optimization Problems with Fuzzy Coefficients
並列摘要
This study investigates the performance and efficiency of using variant Differential Evolution (DE) strategies on two classical optimization problems along with fuzzy coefficients. Two classical problems considered in this study are fuzzy transportation and fuzzy linear programming. The fuzzy coefficients in the objective function of the problems are represented by fuzzy numbers. The signed-distance ranking method is used to rank these fuzzy numbers during the evaluation and the selection processes of the DE algorithm for solving the fuzzy optimization problems. The success of DE in solving a specific optimization problem crucially depends on appropriately choosing mutation strategies and their associated control parameter values. There are several variants of mutation constituting several corresponding DE strategies can be used on the optimization problem with fuzzy coefficients. The performance of using five variant mutation strategies on two classical problems are investigated and compared. The experiments conducted show that DE/best/1 strategy generally outperforms the other variant DE strategies in terms of efficiency and convergence on the fuzzy transportation and the fuzzy linear programming problems.
延伸閱讀
- Mohamed, A. W., & Almazyad, A. S. (2017). Differential Evolution with Novel Mutation and Adaptive Crossover Strategies for Solving Large Scale Global Optimization Problems. Applied Computational Intelligence and Soft Computing, 2017(), 168-185. https://doi.org/10.1155/2017/7974218
- Zhu, S., & Li, S. (2014). Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints. Abstract and Applied Analysis, 2014(), 398-410-1038. https://doi.org/10.1155/2014/630547
- Atay, M. T., & Kilic, O. (2013). The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions. Mathematical Problems in Engineering, 2013(), 770-780-074. https://doi.org/10.1155/2013/143915
- Chen, B., Zeng, W., Lin, Y., & Zhong, Q. (2014). An Enhanced Differential Evolution Based Algorithm with Simulated Annealing for Solving Multiobjective Optimization Problems. Journal of Applied Mathematics, 2014(), 385-397-933. https://doi.org/10.1155/2014/931630
- Chen, C. C. (2017). Effects of initial system-environment correlations on state preparation and variational polaron method for driven open quantum systems [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU201700124