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A Multi-Objective Gravitational Search Algorithm Based on Non-Dominated Sorting

Author

Listed:
  • Hadi Nobahari

    (Sharif University of Technology, Iran)

  • Mahdi Nikusokhan

    (Sharif University of Technology, Iran)

  • Patrick Siarry

    (Université Paris-Est Créteil (UPEC), France)

Abstract

This paper proposes an extension of the Gravitational Search Algorithm (GSA) to multi-objective optimization problems. The new algorithm, called Non-dominated Sorting GSA (NSGSA), utilizes the non-dominated sorting concept to update the gravitational acceleration of the particles. An external archive is also used to store the Pareto optimal solutions and to provide some elitism. It also guides the search toward the non-crowding and the extreme regions of the Pareto front. A new criterion is proposed to update the external archive and two new mutation operators are also proposed to promote the diversity within the swarm. Numerical results show that NSGSA can obtain comparable and even better performances as compared to the previous multi-objective variant of GSA and some other multi-objective optimization algorithms.

Suggested Citation

  • Hadi Nobahari & Mahdi Nikusokhan & Patrick Siarry, 2012. "A Multi-Objective Gravitational Search Algorithm Based on Non-Dominated Sorting," International Journal of Swarm Intelligence Research (IJSIR), IGI Global, vol. 3(3), pages 32-49, July.
    • Handle: RePEc:igg:jsir00:v:3:y:2012:i:3:p:32-49
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    Cited by:

    1. Sharma, Akanksha & Jain, Sanjay K., 2021. "Day-ahead optimal reactive power ancillary service procurement under dynamic multi-objective framework in wind integrated deregulated power system," Energy, Elsevier, vol. 223(C).
    2. Xin Wu & Yanhe Xu & Jie Liu & Cong Lv & Jianzhong Zhou & Qing Zhang, 2019. "Characteristics Analysis and Fuzzy Fractional-Order PID Parameter Optimization for Primary Frequency Modulation of a Pumped Storage Unit Based on a Multi-Objective Gravitational Search Algorithm," Energies, MDPI, vol. 13(1), pages 1-20, December.

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