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

Author

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  • Rui Liu
  • Hanning Chen
  • Lina Song
  • Man Ding

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.

Suggested Citation

  • Rui Liu & Hanning Chen & Lina Song & Man Ding, 2019. "p -Optimality-Based Multiobjective Root System Growth Algorithms for Multiobjective Applications," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-25, September.
    • Handle: RePEc:hin:jnlmpe:7561398
    DOI: 10.1155/2019/7561398
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