#J01

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

# 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	2
1	4	17
1	5	2
1	6	9
1	8	12
2	3	2
2	5	17
2	8	7
3	4	11
4	5	16
5	6	6
5	7	19
5	8	13
6	8	9
;

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

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

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

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

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

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

# Sets of routing paths using each coupler
set L[1] := 7 1 4 10 19;
set L[2] := 7 1;
set L[3] := 7 1 4 19;
set L[4] := 7 1 4 10 19;
set L[5] := 7 8;
set L[6] := 7 8;

# The structure costs
param a:
	4	8	16	20	40	80	 :=
1	33	59	99	132	264	495
2	55	99	165	220	440	825
3	34	61	102	136	272	510
4	44	79	132	176	352	660
5	36	65	108	144	288	540
;

# The coupler costs
param f:
	4	8	16	20	40	80	 :=
1	8	14	23	31	63	119
2	9	15	26	35	71	134
3	7	12	20	27	55	104
4	6	10	17	23	47	89
5	5	9	15	20	40	75
6	4	7	12	16	32	60
;