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Investigación de Operaciones.
Jacaranda Amairany Hernández Grijalva.

 Una

empresa dedicada a la fabricación
de componentes de ordenador tiene tres
fabricas que producen, respectivamente,
200, 150 y 300 piezas mensuales. Estas
piezas han de ser transportadas a tres
tiendas que necesitan 1000, 500, 800 y 100
piezas, respectivamente.
Jacaranda Amairany Hernández Grijalva.

 Los

costos de transporte, en pesetas por
pieza son los que aparecen en la tabla
adjunta. ¿Cómo debe organizarse el
transporte para que el costo sea mínimo?
D.F

Colima

Cancún

Tijuana

Capacidad de
Oferta

GDL

5

4

8

9

200

León

6

7

9

11

150

Cancún

10

11

12

9

300

Demanda

1000

500

800

100
Jacaranda Amairany Hernández Grijalva.

D.F

X11

GDL

X21

X31

X12
X22
X32

León
X23

Cancú
n

Colima

X13
X33

X24
X34

Cancú
n

X14

Tijuana
Jacaranda Amairany Hernández Grijalva.

VARIABLE: Xₐₐ
Donde:
 a es el número de renglón.
 e es el número de columna.
 X el cantidad de piezas a
transportar de un lugar a otro.

Jacaranda Amairany Hernández Grijalva.

e
1

1

a

2
3

2

3

X11
X22
X33

4
Jacaranda Amairany Hernández Grijalva.












X11= Cantidad a producir en GDL y que se enviará al D.F
X12= Cantidad a producir en GDL y que se enviará a
Colima.
X13= Cantidad a producir en GDL y que se enviará a
Cancún.
X14= Cantidad a producir en GDL y que se enviará a
Tijuana.
X21= Cantidad a producir en León y que se enviará al
D.F
X22= Cantidad a producir en León y que se enviará a
Colima.
X23= Cantidad a producir en León y que se enviará a
Jacaranda Amairany Hernández Grijalva.

 X31=

Cantidad a producir en Cancún y que se
enviará al D.F
 X32= Cantidad a producir en Cancún y que se
enviará a Colima.
 X33= Cantidad a producir en Cancún y que se
enviará a Cancún.
 X34= Cantidad a producir en Cancún y que se
enviará a Tijuana.
Jacaranda Amairany Hernández Grijalva.

 El

objetivo es minimizar costos del transporte por lo
tanto:

Min Z= 5X11 + 4X12 + 8X13 + 9X14 + 6X21 + 7X22 + 9X23 + 11X24 + 10X31
+ 11X32 + 12X33 + 9X34.
Jacaranda Amairany Hernández Grijalva.

Demandado por el D.F

 R1:

X11 + X21 + X31 ≤ 1,000
 R2: X12 + X22 + X32 ≤ 500
 R3: X13 + X23 + X33 ≤ 300
 R4: X14 + X24 + X34 ≤ 100
 R5: X11 + X12 + X13 + X14 ≥ 200
 R6: X21 + X22 + X23 + X24 ≥ 150
 R7: X31 + X32 + X33 + X34 ≥ 300

Demandado por el
Colima.
Demandado por Cancún.

Demandado por Tijuana.
Capacidad de
oferta de GDL.
Capacidad de oferta
de León.
Capacidad de
oferta de
Cancún.
Jacaranda Amairany Hernández Grijalva.

No. De
Variables.
Lo que se
desea es
minimizar.

No. De
Restricciones.
Jacaranda Amairany Hernández Grijalva.
Jacaranda Amairany Hernández Grijalva.
Jacaranda Amairany Hernández Grijalva.
Jacaranda Amairany Hernández Grijalva.

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Io

  • 2. Jacaranda Amairany Hernández Grijalva.  Una empresa dedicada a la fabricación de componentes de ordenador tiene tres fabricas que producen, respectivamente, 200, 150 y 300 piezas mensuales. Estas piezas han de ser transportadas a tres tiendas que necesitan 1000, 500, 800 y 100 piezas, respectivamente.
  • 3. Jacaranda Amairany Hernández Grijalva.  Los costos de transporte, en pesetas por pieza son los que aparecen en la tabla adjunta. ¿Cómo debe organizarse el transporte para que el costo sea mínimo? D.F Colima Cancún Tijuana Capacidad de Oferta GDL 5 4 8 9 200 León 6 7 9 11 150 Cancún 10 11 12 9 300 Demanda 1000 500 800 100
  • 4. Jacaranda Amairany Hernández Grijalva. D.F X11 GDL X21 X31 X12 X22 X32 León X23 Cancú n Colima X13 X33 X24 X34 Cancú n X14 Tijuana
  • 5. Jacaranda Amairany Hernández Grijalva. VARIABLE: Xₐₐ Donde:  a es el número de renglón.  e es el número de columna.  X el cantidad de piezas a transportar de un lugar a otro. 
  • 6. Jacaranda Amairany Hernández Grijalva. e 1 1 a 2 3 2 3 X11 X22 X33 4
  • 7. Jacaranda Amairany Hernández Grijalva.        X11= Cantidad a producir en GDL y que se enviará al D.F X12= Cantidad a producir en GDL y que se enviará a Colima. X13= Cantidad a producir en GDL y que se enviará a Cancún. X14= Cantidad a producir en GDL y que se enviará a Tijuana. X21= Cantidad a producir en León y que se enviará al D.F X22= Cantidad a producir en León y que se enviará a Colima. X23= Cantidad a producir en León y que se enviará a
  • 8. Jacaranda Amairany Hernández Grijalva.  X31= Cantidad a producir en Cancún y que se enviará al D.F  X32= Cantidad a producir en Cancún y que se enviará a Colima.  X33= Cantidad a producir en Cancún y que se enviará a Cancún.  X34= Cantidad a producir en Cancún y que se enviará a Tijuana.
  • 9. Jacaranda Amairany Hernández Grijalva.  El objetivo es minimizar costos del transporte por lo tanto: Min Z= 5X11 + 4X12 + 8X13 + 9X14 + 6X21 + 7X22 + 9X23 + 11X24 + 10X31 + 11X32 + 12X33 + 9X34.
  • 10. Jacaranda Amairany Hernández Grijalva. Demandado por el D.F  R1: X11 + X21 + X31 ≤ 1,000  R2: X12 + X22 + X32 ≤ 500  R3: X13 + X23 + X33 ≤ 300  R4: X14 + X24 + X34 ≤ 100  R5: X11 + X12 + X13 + X14 ≥ 200  R6: X21 + X22 + X23 + X24 ≥ 150  R7: X31 + X32 + X33 + X34 ≥ 300 Demandado por el Colima. Demandado por Cancún. Demandado por Tijuana. Capacidad de oferta de GDL. Capacidad de oferta de León. Capacidad de oferta de Cancún.
  • 11. Jacaranda Amairany Hernández Grijalva. No. De Variables. Lo que se desea es minimizar. No. De Restricciones.