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PHPSimplex
Versión 0.81

Copyright ©2006-2024. Todos los derechos reservados.

Desarrollado por:
Daniel Izquierdo Granja
Juan José Ruiz Ruiz

Traducción a inglés por:
Luciano Miguel Tobaria

Traducción a francés por:
Ester Rute Ruiz

Traducción a portugués por:
Rosane Bujes

PHPSimplex

PHPSimplex


Pasamos el problema a la forma estándar, añadiendo variables de exceso, holgura, y artificiales según corresponda (mostrar/ocultar detalles)

MINIMIZAR: Z = 10 X1 + 8 X2 + 8 X3 + 9 X4 + 8 X5 + 6 X6 + 7 X7 + 6 X8 + 7 X9 + 7 X10 + 6 X11 + 6 X12 + 5 X13 + 7 X14 + 6 X15 + 5 X16 + 6 X17 + 6 X18 + 6 X19 + 5 X20Paso a forma estándarMAXIMIZAR: Z = -10 X1 -8 X2 -8 X3 -9 X4 -8 X5 -6 X6 -7 X7 -6 X8 -7 X9 -7 X10 -6 X11 -6 X12 -5 X13 -7 X14 -6 X15 -5 X16 -6 X17 -6 X18 -6 X19 -5 X20 + 0 X21 + 0 X22 + 0 X23 + 0 X24 + 0 X25 + 0 X26 + 0 X27 + 0 X28 + 0 X29

sujeto a

1 X1 + 1 X2 + 1 X3 + 1 X4 0 X5 0 X6 0 X7 0 X8 0 X9 0 X10 0 X11 0 X12 0 X13 0 X14 0 X15 0 X16 0 X17 0 X18 0 X19 0 X20 ≤ 1
0 X1 0 X2 0 X3 0 X4 + 1 X5 + 1 X6 + 1 X7 + 1 X8 0 X9 0 X10 0 X11 0 X12 0 X13 0 X14 0 X15 0 X16 0 X17 0 X18 0 X19 0 X20 ≤ 1
0 X1 0 X2 0 X3 0 X4 0 X5 0 X6 0 X7 0 X8 + 1 X9 + 1 X10 + 1 X11 + 1 X12 0 X13 0 X14 0 X15 0 X16 0 X17 0 X18 0 X19 0 X20 ≤ 1
0 X1 0 X2 0 X3 0 X4 0 X5 0 X6 0 X7 0 X8 0 X9 0 X10 0 X11 0 X12 + 1 X13 + 1 X14 + 1 X15 + 1 X16 0 X17 0 X18 0 X19 0 X20 ≤ 1
0 X1 0 X2 0 X3 0 X4 0 X5 0 X6 0 X7 0 X8 0 X9 0 X10 0 X11 0 X12 0 X13 0 X14 0 X15 0 X16 + 1 X17 + 1 X18 + 1 X19 + 1 X20 ≤ 1
1 X1 0 X2 0 X3 0 X4 + 1 X5 0 X6 0 X7 0 X8 + 1 X9 0 X10 0 X11 0 X12 + 1 X13 0 X14 0 X15 0 X16 + 1 X17 0 X18 0 X19 0 X20 = 1
0 X1 + 1 X2 0 X3 0 X4 0 X5 + 1 X6 0 X7 0 X8 0 X9 + 1 X10 0 X11 0 X12 0 X13 + 1 X14 0 X15 0 X16 0 X17 + 1 X18 0 X19 0 X20 = 1
0 X1 0 X2 + 1 X3 0 X4 0 X5 0 X6 + 1 X7 0 X8 0 X9 0 X10 + 1 X11 0 X12 0 X13 0 X14 + 1 X15 0 X16 0 X17 0 X18 + 1 X19 0 X20 = 1
0 X1 0 X2 0 X3 + 1 X4 0 X5 0 X6 0 X7 + 1 X8 0 X9 0 X10 0 X11 + 1 X12 0 X13 0 X14 0 X15 + 1 X16 0 X17 0 X18 0 X19 + 1 X20 = 1

sujeto a

1 X1 + 1 X2 + 1 X3 + 1 X4 + 1 X21 = 1
0 X1 + 1 X5 + 1 X6 + 1 X7 + 1 X8 + 1 X22 = 1
0 X1 + 1 X9 + 1 X10 + 1 X11 + 1 X12 + 1 X23 = 1
0 X1 + 1 X13 + 1 X14 + 1 X15 + 1 X16 + 1 X24 = 1
0 X1 + 1 X17 + 1 X18 + 1 X19 + 1 X20 + 1 X25 = 1
1 X1 + 1 X5 + 1 X9 + 1 X13 + 1 X17 + 1 X29 = 1
0 X1 + 1 X2 + 1 X6 + 1 X10 + 1 X14 + 1 X18 + 1 X28 = 1
0 X1 + 1 X3 + 1 X7 + 1 X11 + 1 X15 + 1 X19 + 1 X27 = 1
0 X1 + 1 X4 + 1 X8 + 1 X12 + 1 X16 + 1 X20 + 1 X26 = 1
X1, X2, X3, X4, X5, X6, X7, X8, X9, X10, X11, X12, X13, X14, X15, X16, X17, X18, X19, X20 ≥ 0X1, X2, X3, X4, X5, X6, X7, X8, X9, X10, X11, X12, X13, X14, X15, X16, X17, X18, X19, X20, X21, X22, X23, X24, X25, X26, X27, X28, X29 ≥ 0

Pasamos a construir la primera tabla de la Fase I del método de las Dos Fases.

Continuar

Solución directa

Guardar el ejercicio