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

# 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	16
1	6	5
2	4	10
2	5	4
2	6	9
3	4	17
3	6	11
4	6	16
5	6	3
;

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

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

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

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

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

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

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

# The structure costs
param a:
	4	8	16	20	40	80	 :=
1	14	25	42	56	112	210
2	45	81	135	180	360	675
3	30	54	90	120	240	450
4	21	38	63	84	168	315
5	15	27	45	60	120	225
;

# The coupler costs
param f:
	4	8	16	20	40	80	 :=
1	4	7	12	16	32	60
2	7	12	20	27	55	104
3	8	14	23	31	63	119
4	10	17	29	39	79	149
5	7	12	20	27	55	104
;