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EXAMEN ESPECIAL
INVESTIGACION DE OPERACIONES I
NOMBRE____________________________________________________________________________
CARRERA_______________________________ FECHA_________________________________
PARTE I:
UNIDAD I
1.- DEFINA BREVEMENTE LA INVESTIGACIÓN DE OPERACIONES.
2.- MENCIONE LOS FACTORES QUE EXPLICAN EL AUGE DE LA INVESTIGACIÓN DE OPERACIONES.
3.- MENCIONE LOS TIPOS DE MODELOS CON LOS QUE “TRABAJA” LA INVESTIGACIÓN DE OPERACIONES.
UNIDAD II
A).- RESUELVA EL SIGUIENTE PROBLEMA POR EL MÉTODO DE PENALIZACIÓN.
Max Z = 4X1 - 8X2 + X3
s.a. X1 + X2 + X3 = 7
2X1 - 5X2 + X3 >= 10
X1, X2, X3 ; >= 0
B).- RESUELVA EL SIGUIENTE PROBLEMA POR EL MÉTODO DE DOBLE FASE.
Min Z = 2X1 + 3X2 - 5X3
s.a. X1 + X2 + X3 = 7
2X1 - 5X2 + X3 >= 10
X1, X2, X3 ; >= 0
EXAMEN ESPECIAL
INVESTIGACION DE OPERACIONES I
NOMBRE____________________________________________________________________________
CARRERA_______________________________ FECHA_________________________________
PARTE II:
UNIDAD III, IV
1.- ESCRIBA LOS DUALES DE CADA UNO DE LOS PROBLEMAS SIGUIENTES:
a) Max Z = X1 + X2
s.a. 2X1 + X2 = 5
3X1 - X2 = 6
X1, X2, ; SrS
b) Max Z = 5X1 + 6X2
s.a. X1 + 2X2 = 5
- X1 + 5X2 >= 3
X1, ; SrS
X2 >= 0
2.- RESUELVE EL SIGUIENTE PROBLEMA POR EL METODO DUAL SIMPLEX:
a) Min Z = 5X1 + 6X2
s.a. X1 + 2X2 >= 2
4X1 + X2 >= 4
X1, X2, ; >= 0
3.- CONSIDERE EL SIGUIENTE PL Y SU TABLA OPTIMA QUE SE MUESTRA A CONTINUACIÓN:
Min Z = 2X1 + X2 - X3
s.a. X1 + 2X2 + X3 <= 8
- X1 + X2 - 2X3 <= 4
X1, X2, X3 ; >= 0
TABLA OPTIMA
BASE | X1 | X2 | X3 | X4 | X5 | SOL |
Z | 0 | 3 | 3 | 2 | 0 | 16 |
X1 | 1 | 2 | 1 | 1 | 0 | 8 |
X5 | 0 | 3 | -1 | 1 | 1 | 12 |
ESCRIBA EL PROBLEMA DUAL Y HALLAR LAS VARIABLES DUALES OPTIMAS DE LA TABLA ANTERIOR.
USANDO ANALISIS DE SENSIBILIDAD HALLAR LA NUEVA SOLUCION OPTIMA SI EL COEFICIENTE DE X2 EN LA F.O. SE CAMBIA DE 1A 5.
SUPONGA QUE EL COEFICIENTE DE X3 EN LA 2ª RESTRICCION SE CAMBIA -2 A 1. USANDO ANALISIS DE SENSIBILIDAD HALLAR LA NUEVA SOLUCION OPTIMA.
SUPONGA QUE SE AÑADE AL PROBLEMA LA SIGUIENTE RESTRICCION:
X2 + X3 >= 2. USANDO SENSIBILIDAD HALLAR LA NUEVA SOLUCION OPTIMA.
EXAMEN ESPECIAL
INVESTIGACION DE OPERACIONES I
NOMBRE____________________________________________________________________________
CARRERA_______________________________ FECHA_________________________________
PARTE III:
UNIDAD V
CONSIDERE LOS SIGUIENTES DATOS DE UN PROBLEMA DE TRANSPORTE:
RESUELVA EL PROBLEMA MEDIANTE EL ALGORITMO DE TRANSPORTE.
APLIQUE EL METODO HUNGARO AL SIGUIENTE PROBLEMA DE ASIGNACION:
1 2 3 4 5
2 | 6 | 4 | -1 | 3 |
1 | 5 | 2 | 4 | 6 |
0 | 2 | 5 | 1 | 1 |
4 | 1 | 3 | 2 | 5 |
6 | 2 | 4 | 2 | 5 |
4
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Enviado por: | El remitente no desea revelar su nombre |
Idioma: | castellano |
País: | México |