Question: For the following AMPL ( . mod, . dat, . run, ) I receive the error messages copied at the end. Modify the codes to

For the following AMPL

(.

mod,

.

dat,

.

run,

)

I receive the error messages copied at the end. Modify the codes to get a model in a way such that for each AGV a Rack should be assigned and each Rack should be assigned to a workstation, respectively.

.

mod;

# The sets

set Racks; # Set of racks

set AGVs; # Set of AGVs

set Workstations; # Set of workstations

set Axes

= {"

", "

"}

;

# Parameters

param rack

_

location

{

Racks

,

Axes

}

symbolic;

param rack

_

status

{

Racks

}

symbolic;

param agv

_

location

{

AGVs

,

Axes

}

symbolic;

param agv

_

status

{

AGVs

}

symbolic;

param workstation

_

location

{

Workstations

}

symbolic;

param sku

_

inventory

{

Racks

, 1 . . 10} > = 0

;

param demands

{

Workstations

, 1 . . 40} > = 0

;

param berths

{

Workstations

} > = 0

;

# Decision variables

var AssignRackToAGV

{

Racks

,

AGVs

}

binary;

var AssignRackToWorkstation

{

Racks

,

Workstations

}

binary;

# Objective function

param alpha

1

= 1

; # Weight for rack

-

AGV distance

param alpha

2

= 1.3

; # Weight for rack

-

workstation distance

param alpha

3

= 1

; # Weight for unfulfilled orders

minimize TotalDistance:

alpha

1 *

sum

{

r in Racks, a in AGVs, ax in Axes

}

AssignRackToAGV

[

,

] *

abs

(

rack

_

location

[

,

] -

agv

_

location

[

,

]) +

alpha

2 *

sum

{

r in Racks, w in Workstations, ax in Axes

}

AssignRackToWorkstation

[

,

] *

abs

(

rack

_

location

[

,

] -

workstation

_

location

[

]) +

alpha

3 *

sum

{

w in Workstations, sku in

1 . . 40}

max

(0,

demands

[

,

sku

] -

sum

{

r in Racks

}

AssignRackToWorkstation

[

,

] *

sku

_

inventory

[

,

sku

])

;

# Constraints

subject to RackAssignmentConstraint:

forall

{

r in Racks

}

sum

{

a in AGVs

}

AssignRackToAGV

[

,

] = 1

;

subject to WorkstationAssignmentConstraint:

forall

{

r in Racks

}

sum

{

w in Workstations

}

AssignRackToWorkstation

[

,

] = 1

;

subject to BerthConstraint

{

w in Workstations

}

sum

{

r in Racks

}

AssignRackToWorkstation

[

,

] < =

berths

[

]

;

` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

.

dat;

set Racks :

=

1 . .

80

;

param rack

_

location:

"

" "

"

=

1 10 3

2 10 5

Up to

. . .

80 40 41

;

param rack

_

status:

=

1

"stationary"

2

"stationary"

3

"stationary"

4

"stationary"

5

"stationary"

6

"stationary"

7

"stationary"

8

"stationary"

9

"stationary"

10

"stationary"

11

"stationary"

12

"stationary"

13

"AGV

7 "

14

"stationary"

15

"stationar"

Up to

. . .

80

"stationary"

;

set AGVs :

=

1 . .

20

;

param agv

_

location:"x

" "

"

=

1 15 22

2 9 1

Up to

. . .

20 42 1

;

param agv

_

status:

=

AGV

1

"active"

AGV

2

"idle"

Up to

. . .

AGV

20

"idle"

;

set Workstations:

=

1

2

3

4

;

param workstation

_

location:

=

1 " 0 0 "

2 " 0 50 "

3 " 50 0 "

4 " 50 50 "

;

param sku

_

inventory: S

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

=

1 7 5 19 20 13 9 2 10 10 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

2 20 15 1 11 18 3 9 6 15 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

3 2 8 1 14 11 14 6 3 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Up to

. . .

80 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 2 6 18 7 0 0 0 0 0 16 18 6 4 12

;

param demands: S

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

=

1 16 1 31 10 1 19 17 1 3 26 2 1 14 24 22 19 43 50 6 20 30 46 4 0 26 4 28 27 31 62 17 3 6 0 0 60 21 3 22 3

2 29 3 24 9 1 4 8 1 1 14 6 1 42 24 20 10 4 59 35 14 42 3 1 6 11 1 26 38 51 43 22 2 1 2 1 7 30 19 19 1

3 23 1 28 11 0 15 8 0 0 36 18 0 22 23 13 22 40 27 64 8 9 13 24 4 20 10 9 36 45 2 34 6 6 2 0 27 22 4 11 7

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