# ATT01
# The set of nodes in the network
set N := 1 2 3 4 5 6 7 8 9 10 11;

# The set of modular sizes for structures and couplers
set W := 4 8 16 20 40 80;

# The set of OD pairs and 
# the number wavelengths required for each o-d pair
param: D: r :=
1	3	7
1	6	15
1	7	2
2	3	12
2	5	12
2	6	12
3	5	3
3	6	12
4	8	5
5	7	7
6	7	14
6	8	16
7	8	13
7	9	13
8	9	2
9	10	8
;

# The set of available structures
set S := 1 2 3 4 5 6;

# The set of available couplers
set C := 1 2 3 4 5 6 7;

# The set of routing paths
set P := 1 3 5 7 9 11 13 15 17 19 21 2 4 6 8 10 12 14 16 18 20 22;

# The set of pairs of routing paths that intersect
set H :=
(1,2)     (14,22)   (9,18)    (8,9)     (6,18)    (5,7)     (4,8)     (2,16)
(1,19)    (1,4)     (15,19)   (9,22)    (8,11)    (7,9)     (5,9)     (4,10)
(3,4)     (1,21)    (1,6)     (16,18)   (11,17)   (8,14)    (7,11)    (5,14)
(4,12)    (3,6)     (2,3)     (1,8)     (16,22)   (11,21)   (8,16)    (7,14)
(5,18)    (4,15)    (3,12)    (2,5)     (1,10)    (17,21)   (12,18)   (8,18)
(7,16)    (6,8)     (4,17)    (3,14)    (2,7)     (1,14)    (18,22)   (14,16)
(8,22)    (7,18)    (6,13)    (4,20)    (4,5)     (2,9)     (1,16)    (20,22)
(14,20)   (9,16)    (7,21)    (6,16)    (5,6)     (4,7)     (2,14)    (1,18)
(1,3)     (15,17)   (9,20)    (8,10)    (7,8)     (5,8)     (4,9)     (2,18)
(1,20)    (1,5)     (15,21)   (11,15)   (8,13)    (7,10)    (5,12)    (4,11)
(3,5)     (1,22)    (1,7)     (16,20)   (11,19)   (8,15)    (7,12)    (5,16)
(4,14)    (3,8)     (2,4)     (1,9)     (17,19)   (12,16)   (8,17)    (7,15)
(6,7)     (4,16)    (3,13)    (2,6)     (1,11)    (18,20)   (13,14)   (8,20)
(7,17)    (6,9)     (4,18)    (3,18)    (2,8)     (1,15)    (19,21)   (14,18)
(9,14)    (7,19)    (6,14)    (4,22)    (4,6)     (2,13)    (1,17);

# Sets of routing paths serving each OD pair
set J[1,3] := 1;
set J[1,6] := 2;
set J[1,7] := 3;
set J[2,3] := 4;
set J[2,5] := 5;
set J[2,6] := 6;
set J[3,5] := 7;
set J[3,6] := 8;
set J[4,8] := 9 10 11;
set J[5,7] := 12;
set J[6,7] := 13;
set J[6,8] := 14;
set J[7,8] := 15 16;
set J[7,9] := 17 18;
set J[8,9] := 19 20;
set J[9,10] := 21 22;

# Sets of routing paths using each structure
set K[1] := 1 2 3 4 5 6 8 14;
set K[2] := 1 2 3 4 5 6 7 8 11 12 14 16 18;
set K[3] := 1 4 7 8 11 15 17 19 21;
set K[4] := 1 2 3 4 5 6 8 13 14 16 18;
set K[5] := 1 2 4 5 6 7 8 9 14 16 18 20 22;
set K[6] := 1 4 7 8 10 11;

# Sets of routing paths using each coupler
set L[1] := 8 1 2 3 4 5 6 14;
set L[2] := 4 1 7 8 11;
set L[3] := 11;
set L[4] := 4 1 7 8;
set L[5] := 14 7 6 2 5 16 18;
set L[6] := 8 5 4 1 2 6 14 16 18;
set L[7] := 1 2 3 4 5 6 8 14;

# The structure costs
param a:
	4	8	16	20	40	80	 :=
1	19	34	57	76	152	285
2	13	23	39	52	104	195
3	17	31	51	68	136	255
4	16	29	48	64	128	240
5	16	29	48	64	128	240
6	18	32	54	72	144	270
;

# The coupler costs
param f:
	4	8	16	20	40	80	 :=
1	4	7	12	16	32	60
2	7	13	21	28	56	105
3	6	11	18	24	48	90
4	14	25	42	56	112	210
5	16	29	48	64	128	240
6	17	31	51	68	136	255
7	30	54	90	120	240	450
;