xavier-mayiming / moea_d-iepsilon Goto Github PK

$$ \begin{aligned} & J_1={3, 5, \cdots, 29}, J_2 = {2, 4, \cdots, 30} \\ & g_1(x) = \sum_{i \in J_1} (x_i - \sin(0.5i\pi x_1/30))^2 \\ & g_2(x) = \sum_{i \in J_2} (x_i - \cos(0.5i\pi x_1/30))^2 \\ &\min \\ & f_1(x) = x_1 + 10g_1(x) + 0.7057 \\ & f_2(x) = 1 - x_1^2 + 10g_2(x) + 0.7057 \\ & \text{subject to} \\ & c_k(x) = ((f_1 - p_k)\cos\theta - (f_2 - q_k)\sin\theta)^2/a_k^2 + ((f_1 - p_k)\sin\theta - (f_2 - q_k)\cos\theta)^2/b_k^2 \geq r \\ & p_k = [1.8, 2.8], \quad q_k = [1.8, 2.8], \quad a_k = [2, 2], \quad b_k = [8, 8], \quad k=1, 2 \\ & r = 0.1, \quad \theta = -0.25 \pi \\ & x_i \in [0, 1], \quad i = 1, \cdots, 30 \end{aligned} $$

if __name__ == '__main__':
    main(300, 1000, np.array([0] * 30), np.array([1] * 30))