Investigacion de operaciones

Negocios internacionales
Investigación de operaciones

Luis Arturo Granados Díaz de León
Edgar Armando Navarro Martin del Campo
Ezequiel Hernández Almaraz

Po= 1n-0k-11n!λμ+1k!λμkkμkμ-λ
Pk=1k!λμk kμkμ-λ .Po
L= λμλμkk-1!kμ-λ2 .Po+λμ
Lq= λμλμkk-1!kμ-λ2 .Po
Wq=λμλμk. Pok-1!kμ-λ2
W=λμλμk. Pok-1!kμ-λ2+ 1μ
P=λk.μ

λ=21c/h Po=110!217.50+ 11!217.51+12!217.52+13!217.5337.53(7.5)-21=162.6994=0.0159
μ=7.5c/h W=7.5(13!217.53). 01593-1!3(7.5+ 17.5 2.61772(2.25)+ 17.5
K=3 Wq= .5817*60= 34.902min
Lq = 21(7.5)217.533-1!3(7.5)-212 .(.0159 )= 54.97324.5=12.2162
L= 12.2162+2.8= 15.0162 clientas
Po=110!100400+ 11!100401+12!100402+13!100403+14!10043 4404(40)-100=0.0736

Pk= 14!100404440440-100*0.0736
Pk= 4.3401*0.0736= 0.3194 =31.94%
L= 100(40)1004044-1!4*40-1002 .0.736+10040=1150021600=0.5324+2.5=3.0324 clientes
Lq=.5324 clientes
Wq=40100404* 0.07366440-1002=1150021600=0.5324 hr.
W= 0.030324 hr.

D
B

E
C
G
H
A
Realizar sondeo sísmico
F
123
-30
Sin sondeo sismológico
123
perforar
3
8
270
3
100
perforar
0
vender
Perforar .7
Petróleo .143
perforar
Petróleo
seco
Petróleo
seco
vender
Petróleo .25
Seco .75

F 670(.143) + (-130)(.857) =-15.6
G 670(.5) + (-130) (.5) =-270
H 700(.25) + (-100) (.75) =100
B 60(.7) + 270(.3)=123

Region/grupo | 0 | 1 | 2 | 3 | 4 | 5 |
Chisimayu | 0 | 360 | 560 | 720 | 840 | 960 |
Mogadishu | 0 | 400 | 560 | 640 | 800 | 1040 |
Hargeisa | 0 | 160 | 360 | 600 | 880 | 1200 |

| | 0 | 1 | 2 | 3 | 4 | 5 |
| | 0 | 400 | 560 | 640 | 800 | 1040 |
0 | 0 | 0 | 400 | 560 | 640 | 800 |1040 |
1 | 360 | 360 | 760 | 920 | 1000 | 1160 | |
2 | 560 | 560 | 960 | 1120 | 1200 | | |
3 | 720 | 720 | 1120 | 1280 | | | |
4 | 840 | 840 | 1240 | | | | |
5 | 960 | 960 | | | | | |

Utilidad= 1360
Hargesina=grupo 3 con 600 vidas
Chisimayu= grupo 1 con 360
Mogadishu= grupo 1con 400

Programación dinámica probabilística
Un entrenador de atletismo debe asignar 4atletas adicionales para 3 diferentes pruebas, como lo muestra la sig. Tabla
Numero de asignación | Salto de altura | Carrera 10km | Salto de longitud |
0 | .4 | .3 | .5 |
1 | .5 | .45 | .68 |
2 | .6 | .58 | .8 |
3 | .65 | .7 | .82 |
4 | .7 | .73 | .84 |

¿Cómo debe asignar a sus atletas a fin de maximizar la prueba conjunta de éxito?
B
| | 0 | 1 | 2 | 3 | 4 |
| | .3 | .45 |.58 | .7 | .73 |
A
0 | .4 | .120 | .18 | .232 | .28 | .292 |
1 | .5 | .15 | .225 | .79 | .35 | |
2 | .6 | .18 | .27 | .348 | | |
3 | .65 | .195 | .292 | | | |
4 | .7 | .21 | | | | |

A y B
| | 0 | 1 | 2 | 3 | 4 |
| | .12 | .18 | .232 | .24 | .35 |
C
0 | .5 | .06 | .09 | .116 | .145 | .175 |
1 | .68 | .081 | .122 | .157 | .197 | |
2 | .8 | .096 | .144 | .185| | |
3 | .82 | .098 | .147 | | | |
4 | .84 | .10 | | | | |

Utilidad= .1972
C 1 y .68
A 1 y 50
B 2 y .58
Núm. De asignados | Toros | Potros | Lobos |
0 | .2 | .3 | .35 |
1 | .45 | .48 | .5 |
2 | .6 | .62 | .6 |
3 | .72 | .70 | .68 |
4 | .75 | .74 | .7 |
5 | .73 | .76 | .72 |

| | 0 | 1 | 2 | 3 | 4 | 5 |
| | .3 | .48 | .62 | .7 | .74 | .76 |
0 | .2 | .06| .096 | .124 | .14 | .148 | .152 |
1 | .45 | .135 | .216 | .279 | .315 | .333 | |
2 | .6 | .18 | .288 | .372 | .42 | | |
3 | .72 | .216 | .345 | .446 | | | |
4 | .75 | .225 | .36 | | | | |
5 | .73 | .214 | | | | | |

| | 0 | 1 | 2 | 3 | 4 | 5 |
| | .06 | .135 | .216 | .288 | .372 | .440 |
0 | .35 | .021 | .047 | .075 | .108 | .130 | .156 |
1 | .5 | .03 |.067 | .108 | .144 | .186 | |
2 | .6 | .036 | .081 | .126 | .172 | | |
3 | .68 | .04 | .091 | .146 | | | |
4 | .7 | .042 | .094 | | | | |
5 | .72 | .043 | | | | | |
Combinación probabilística y programación dinámica deterministica
El seños Eduardo castillo es un abarrotero potosino y acaba de adquirir de oportunidad 9 lotes de aceite comestible, ahora se presenta el dilema...