Finding a preferred diverse set of Pareto-optimal solutions for a limited number of function calls

Siegmund, Florian; Ng, Amos H. C.; Deb, Kalyanmoy

doi:10.1109/cec.2012.6256654

Cited by 20 publications

(17 citation statements)

References 9 publications

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“…Simulated binary crossover (SBX) [37] and polynomial mutation (PM) [38] were used for the crossover and mutation, respectively, of three NSGA-II algorithms: the original NSGA-II, the reference point-based-NSGA-II (R-NSGA-II) [39], and the extension ER-NSGA-II [40]. The root-mean-square error (RMSE) and logarithmically transformed RMSE (LOGE) between the observed and simulated hourly discharges were minimized simultaneously.…”

Section: Introductionmentioning

confidence: 99%

Multiobjective Automatic Parameter Calibration of a Hydrological Model

Jung

Choi

Kim

2017

Water

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This study proposes variable balancing approaches for the exploration (diversification) and exploitation (intensification) of the non-dominated sorting genetic algorithm-II (NSGA-II) with simulated binary crossover (SBX) and polynomial mutation (PM) in the multiobjective automatic parameter calibration of a lumped hydrological model, the HYMOD model. Two objectives-minimizing the percent bias and minimizing three peak flow differences-are considered in the calibration of the six parameters of the model. The proposed balancing approaches, which migrate the focus between exploration and exploitation over generations by varying the crossover and mutation distribution indices of SBX and PM, respectively, are compared with traditional static balancing approaches (the two dices value is fixed during optimization) in a benchmark hydrological calibration problem for the Leaf River (1950 km 2 ) near Collins, Mississippi. Three performance metrics-solution quality, spacing, and convergence-are used to quantify and compare the quality of the Pareto solutions obtained by the two different balancing approaches. The variable balancing approaches that migrate the focus of exploration and exploitation differently for SBX and PM outperformed other methods.

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Section: Introductionmentioning

confidence: 99%

Multiobjective Automatic Parameter Calibration of a Hydrological Model

Jung

Choi

Kim

2017

Water

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“…We make use of the idea that the preference information given by reference point can guide the search towards better solutions corresponding to the preferences. However, if absence of the priori unknown of the searching space, it is difficult for decision maker to give a reasonable reference point and it is not involved in [15,16]. Aiming at the demand of our constraint solving, the two main contributions of our algorithms are: a dynamic reference point setting method according to the current distribution of solutions and a new crowding comparative operator which give priority to the distance ranking then to non-dominated ranking.…”

Section: Introductionmentioning

confidence: 98%

“…Reference-point multi-objective optimization idea is originally used to find a preferred solution [14] or preferred set solutions [15,16] near the reference point. We make use of the idea that the preference information given by reference point can guide the search towards better solutions corresponding to the preferences.…”

Section: Introductionmentioning

confidence: 99%

Reference point-based evolutionary multi-objective optimization for reversible logic circuit synthesis

Wang

2014

2014 7th International Conference on Biomedical Engineering and Informatics

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In this paper, Reversible logic circuit synthesis is formulated as a quantum cost-minimization problem with equality constraint. A new reference-point based evolutionary multi-objective method R-EMO-RLC is specially designed to attack the equality constraint. First, the reference point is determined dynamically according the distribution of solutions. Then, a new crowding comparative operator is fabricated to adapt the uncertainty of constraint violation and objective value aroused by variable length encoding. Experimental results show that R-EMO-RLC can increase the feasible ratio and obtain savings in quantum cost for some benchmarks from recent publications comparing with previously known circuits.

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“…The crowding distance D M of point M is a measure of the objective space around M which is not occupied by any other solution in the population [26]. The main steps of NSGA-II procedure can be presented in the following steps [27]:…”

Section: Nsga-iimentioning

confidence: 99%

Control Scheme of Hybrid Wind-Diesel System with SMES Using NSGA-II

Lotfy¹,

Senjyu²,

Farahat³

et al. 2017

JEPE

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Robust control approach of hybrid wind-diesel power system is proposed in this paper. PID (proportional integral derivative) controller is designed in the blade pitch system of wind turbine to improve the system dynamic performance. Furthermore, to minimize the system oscillations, SMES (super-conducting magnetic energy storage) with first order lead-lag controller is implemented to supply and absorb active power quickly trying to reach power generation/demand balance and thereby control system frequency. Minimization of frequency and wind output power deviations are considered as two objective functions for the PID controller of wind turbine. Also, mitigating frequency and diesel output power deviations are presented as two objective functions of the lead-lag controller of SMES. NSGA-II (modified version of non-dominated sorting genetic algorithm) is used to tune the controllers' parameters to get an optimal response. The effectiveness and robustness of the proposed control technique are investigated under different operating conditions using Matlab environment. The simulation results confirm the ability of the controllers to damp all frequency and output powers fluctuations and enhance the stability and reliability of the hybrid power system.

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Finding a preferred diverse set of Pareto-optimal solutions for a limited number of function calls

Cited by 20 publications

References 9 publications

Multiobjective Automatic Parameter Calibration of a Hydrological Model

Multiobjective Automatic Parameter Calibration of a Hydrological Model

Reference point-based evolutionary multi-objective optimization for reversible logic circuit synthesis

Control Scheme of Hybrid Wind-Diesel System with SMES Using NSGA-II

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