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Métodos de punto interior Ejemplos

Métodos de punto interior Ejemplos. Min z= x/2 - y 3 x + 2 y  6 -3 x + 2 y  0 x 0, y 0 Solución óptima: x =1, y = 3/2, z = -1. x0 = 0.7000 0.4000 3.1000 1.3000 Xk = 0.7000 0 0 0 0 0.4000 0 0

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Métodos de punto interior Ejemplos

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  1. Métodos de punto interior Ejemplos

  2. Min z= x/2 - y 3x + 2y  6 -3x + 2y  0 x 0, y 0 Solución óptima: x =1, y = 3/2, z = -1

  3. x0 = 0.7000 0.4000 3.1000 1.3000 Xk = 0.7000 0 0 0 0 0.4000 0 0 0 0 3.1000 0 0 0 0 1.3000

  4. A = 3 2 1 0 -3 2 0 1 PA = 0.2775 0.1573 -0.2286 0.3514 0.1573 0.7811 -0.3081 -0.2266 -0.2286 -0.3081 0.2343 -0.1796 0.3514 -0.2266 -0.1796 0.7071

  5. function g=gradfun(x,c,alfa) n=length(x); g=alfa*c-ones(n,1)./x;

  6. alfa =0.6780 g=gradfun(xk,c,alfa);% Cálculo gradiente en xk g = -1.0896 -3.1780 -0.3226 -0.7692 h1=-PA*g; % Dirección de búsqueda h1 = 0.9988 2.3799 -1.2908 0.1489

  7. lambda = 2.7438e-004 y=e+lambda*h1; % Búsqueda lineal y = 1.0003 1.0007 0.9996 1.0000 xk=Xk*y; % Escalado, nuevo punto xk = 0.7002 0.4003 3.0989 1.3001

  8. Método primal- dual

  9. Kamarkar

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