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p -Optimality-Based Multiobjective Root System Growth Algorithms for Multiobjective Applications

Rui Liu, Hanning Chen, Lina Song and Man Ding

Mathematical Problems in Engineering, 2019, vol. 2019, 1-25

Abstract:

In this paper, a multiobjective root system growth algorithm-based p -optimality ( p -MORSGA) is proposed. The proposed p -MORSGA extended original root system growth algorithm with multiobjective nondomination strategy. To enhance its effect of convergence of solution groups, the p -optimality criterion is employed to determine the solutions of last nondominated front into the next generation group. In the evolution process, global general ( ), concerning the margin information and population density, is selected as the suitable optimality criterion of evaluating the performance of solutions. Application of the new p -MORSGA on several multiobjective benchmark functions shows a marked improvement in performance over the modified classical MOEAs with such criterion. Finally, the proposed p -MORSGA is applied to solve two real-world problems, multiobjective portfolio optimization problems (MOPOPs) and multiobjective optimal power flow (OPF) problems. The experimental results demonstrate that p -MORSGA is extremely effective for real-world application problems.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7561398

DOI: 10.1155/2019/7561398

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