# EUR02
# The set of nodes in the network
set N := 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18;

# 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	11	6
2	6	3
3	12	11
4	5	1
4	9	13
4	11	6
4	14	1
5	11	1
5	14	20
6	10	5
7	13	6
7	16	16
9	12	6
10	12	6
10	13	15
11	16	12
11	18	17
12	16	18
;

# 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 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20;

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

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

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

# Sets of routing paths using each coupler
set L[1] := 16 15 10 7 2 9 12 18 19 20;
set L[2] := 16 10 2 7 9 12 15 18 19 20;
set L[3] := 20 19 18 10 7;
set L[4] := 12 2 13 15 16;
set L[5] := 20 18 4 10;
set L[6] := 20 19 18 12 10 2 16;
set L[7] := 20 19 18 4 9 10 13;

# The structure costs
param a:
	4	8	16	20	40	80	 :=
1	143	257	429	572	1144	2145
2	197	355	591	788	1576	2955
3	119	214	357	476	952	1785
4	187	337	561	748	1496	2805
5	123	221	369	492	984	1845
6	149	268	447	596	1192	2235
;

# The coupler costs
param f:
	4	8	16	20	40	80	 :=
1	15	26	44	60	115	225
2	26	44	75	104	200	390
3	23	39	67	92	177	345
4	31	53	90	124	239	465
5	23	39	67	92	177	345
6	47	80	136	188	362	705
7	39	66	113	156	300	585
;