Seguimiento Métodos Cuantitativos

Dayana Rojas Ramos Cc:1038135699

Seguimiento Métodos Cuantitativos

[pic 1]

1. [pic 2]

Xij= Cantidades enviadas desde el origen “i”  hasta el destino “j”

 X11, X12, X13, X14, X15

X21, X22, X23, X24, X25

X31, X32, X33, X34, X35

Función objetivo= 10X11+20X12+5X13+9X14+10X15+2X21+10X22+8X23+30X24+6X25+X31+20X32+7X33+ 10X34+4X35

Restricciones

X11+X12+X13+X14+ X15<=9000

X21+X22+X23+X24+X25<=4000

X31+X32+X33+X34+X35<=8000

X11+X21+X31=3000

X12+X22+X32= 5000

X13+X23+X33=4000

X14+X24+X34=6000

X15+X25+X35=3000

Xij=Entera

1. [pic 3]

1. Se presenta una reducción en los costos de $9000 y la solución óptima es la siguiente

[pic 4]

[pic 5]

1. [pic 6]

1. Xij= Cantidades enviadas desde el origen “i”  hasta el destino “j”

X11, X12, X13, X14

X21, X22, X23, X24

X31, X32, X33. X34

Función Objetivo

Maximizar= 100X11+125X12+115X13+100X14+120X21+135X22+115X23+120X24+155X31+150X32+140X33+130X34

Restricciones

X11+X12+X13+X14<=160

X21+X22+X23+X24<=160

X31+X32+X33+X34<=140

X11+X21+X31=180        

X12+X22+X32=75

X13+X23+X33= 100

X14+X24+X34= 85

[pic 7]

1. Tiene una disminución  sobre la facturación de $400

El nuevo modelo:

Xij= Cantidades enviadas desde el origen “i”  hasta el destino “j”

X11, X13, X14

X21, X22, X23, X24

X31, X32, X33. X34

Función Objetivo

Maximizar= 100X11+115X13+100X14+120X21+135X22+115X23+120X24+155X31+150X32+140X33+130X34

Restricciones

X11+X13+X14<=160

X21+X22+X23+X24<=160

X31+X32+X33+X34<=140

X11+X21+X31=180        

X12+X22+X32=75

X23+X32= 100

X14+X24+X34= 85

Xij=Entera

[pic 8]

[pic 9]

1. Representación de red [pic 10]

1. Xij= Cantidades enviadas desde el origen “i”  hasta el destino “j”

X11, X12, X13, X14

X21, X22, X23, X24

X31, X32, X33. X34

Función Objetivo

Maximizar= 7X11+11X12+8X13+13X14+20X21+17X22+12X23+10X24+8X31+18X32+13X33+16X34

Restricciones

X11+X12+X13+X14<=100000

X21+X22+X23+X24<=100000

X31+X32+X33+X34<=150000

X11+X21+X31=50000

X12+X22+X32=70000

X13+X23+X33= 60000

X14+X24+X34= 80000

Xij= entera

[pic 11]

[pic 12]

[pic 13]

1. Xij= Cantidades enviadas desde el origen “i”  hasta el destino “j”

X11, X12, X13

X21, X22, X23

X31, X32, X33

Función Objetivo

Minimizar= 1.00X11+1.20X12+0.90X13+1.30X21+1.40X22+1.20X23+1.10X31+1.00X32+1.20X33

Restricciones

X11+X12+X13<=1500

X21+X22+X23<=1500

X31+X32+X33<=1000

X11+X21+X31=2000

X12+X22+X32=500

X13+X23+X33= 1200

Xij= entera

[pic 14]

[pic 15]

[pic 16]

Xij= Cantidades enviadas desde el origen “i”  hasta el destino “j”

X11, X12, X13, X14, X15

X21, X22, X23, X24, X25

X31, X32, X33, X34, X35

X41, X42, X43, X44, X45

X51, X52, X53, X54, X55

Función Objetivo

Maximizar= 30X11+44X12+38X13+47X14+31X15+25X21+32X22+45X23+44X24+25X25+23X31+40X32+37X33+39X34+29X35+26X41+38X42+37X43+45X44+28X45+26X51+34X52+44X53+43X54+28X55

Restricciones

X11+X12+X13+X14+X15<=1

X21+X22+X23+X24+X25<=1

X31+X32+X33+X34+X35<=1

X41+X42+X43+X44+X45<=1

X51+X52+X53+X54+X55<=1

X11+X21+X31+X41+X51=1

X12+X22+X32+X42+X52=1

X13+X23+X33+X43+X53= 1

X14+X24+X34+X44+X54= 1

X15+X25+X35+X45+X55=1

Xij= entera

[pic 17]

[pic 18]

Xij= Cantidades enviadas desde el origen “i”  hasta el destino “j”

X11, X12, X13, X14

X21, X22, X23, X24

X31, X32, X33, X34

X41, X42, X43, X44

X51, X52, X53, X54

X61, X62, X63, X64

Función Objetivo

Maximizar=

5000X11+3000X12+6000X13+4000X14+7500X21+8000X22+7000X23+5500X24+8500X31+5000X32+6500X33+8000X34+7000X41+6000X42+6500X43+5000X44+7000X51+8000X52+3000X53+6000X54+6000X61+4000X62+4500X63+7000X64

Restricciones

X11+X12+X13+X14<=1

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