# Problem instance J01 with translation on the protection path.
# The set of nodes in the network
set N := 1 2 3 4 5 6 7 8;

# The set of links in the network
set E :=
(1,2)   (1,8)   (3,5)   (4,5)   (4,8)   (5,7)
(1,5)   (2,8)   (3,7)   (4,6)   (5,6)   (6,7);

# 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 edges in each structure
set Es[1] := (3,5) (3,7) (5,7);
set Es[2] := (4,6) (4,5) (5,6) (5,7) (6,7);
set Es[3] := (4,5) (4,6) (5,6);
set Es[4] := (1,5) (1,8) (4,5) (4,8);
set Es[5] := (1,2) (1,8) (2,8);

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

# 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 switch 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
;


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


# The set of optical cycles serving each demand 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;


# The set of paths
set P :=
1    4    7    10   13   16   19   22   25   28   31   34   37
2    5    8    11   14   17   20   23   26   29   32   35   38
3    6    9    12   15   18   21   24   27   30   33   36;


# The set of paths making up each optical cycle
set Pk[1] := 1 2;
set Pk[2] := 3 4;
set Pk[3] := 5 6;
set Pk[4] := 7 8;
set Pk[5] := 9 10;
set Pk[6] := 11 12;
set Pk[7] := 13 14;
set Pk[8] := 15 16;
set Pk[9] := 17 18;
set Pk[10] := 19 20;
set Pk[11] := 21 22;
set Pk[12] := 23 24;
set Pk[13] := 25 26;
set Pk[14] := 27 28;
set Pk[15] := 29 30;
set Pk[16] := 31 32;
set Pk[17] := 33 34;
set Pk[18] := 35 36;
set Pk[19] := 37 38;


# The set of paths using each switch
set L[4] := 1 8 13 19 37;
set L[3] := 2 7 14 38;
set L[2] := 2 14;
set L[1] := 2 8 14 20 37;
set L[6] := 13 15;
set L[5] := 14 16;


# The set of paths using each edge of each structure
set Pes[1,5,4] := 1 4 5 8 11 13 15 26 36 37;
set Pes[3,5,1] := 1 13 19 33;
set Pes[1,8,4] := 2 3 6 7 9 26 36 37;
set Pes[4,8,4] := 2 3 6 7 11 14 16 26 35 38;
set Pes[4,5,3] := 2 14 22 30;
set Pes[5,7,2] := 2 14 20 32;
set Pes[3,7,1] := 2 14 20 33;
set Pes[4,5,4] := 4 6 11 16 19 23 35;
set Pes[4,6,3] := 7 25 30 38;
set Pes[5,7,1] := 8 31 37;
set Pes[6,7,2] := 8 34 37;
set Pes[1,8,5] := 10 18;
set Pes[1,2,5] := 12 13 15 18;
set Pes[2,8,5] := 12 14 16 17;
set Pes[4,5,2] := 20 21 29;
set Pes[4,6,2] := 24 29;
set Pes[5,6,2] := 24 27 34;
set Pes[5,6,3] := 25 28;

set H :=
(1,4)     (2,30)    (4,13)    (6,23)    (8,20)    (12,14)   (14,38)   (23,35)
(1,5)     (2,32)    (4,15)    (6,26)    (8,26)    (12,15)   (15,18)   (24,27)
(1,8)     (2,33)    (4,16)    (6,35)    (8,31)    (12,16)   (15,26)   (24,29)
(1,11)    (2,35)    (4,19)    (6,36)    (8,34)    (12,17)   (15,36)   (24,34)
(1,13)    (2,36)    (4,23)    (6,37)    (8,36)    (12,18)   (15,37)   (25,28)
(1,15)    (2,37)    (4,26)    (6,38)    (8,37)    (13,15)   (16,17)   (25,30)
(1,19)    (2,38)    (4,35)    (7,9)     (9,26)    (13,18)   (16,19)   (25,38)
(1,26)    (3,6)     (4,36)    (7,11)    (9,36)    (13,19)   (16,23)   (26,35)
(1,33)    (3,7)     (4,37)    (7,14)    (9,37)    (13,26)   (16,26)   (26,36)
(1,36)    (3,9)     (5,8)     (7,16)    (10,18)   (13,33)   (16,35)   (26,37)
(1,37)    (3,11)    (5,11)    (7,25)    (11,13)   (13,36)   (16,38)   (26,38)
(2,3)     (3,14)    (5,13)    (7,26)    (11,14)   (13,37)   (19,23)   (27,34)
(2,6)     (3,16)    (5,15)    (7,30)    (11,15)   (14,16)   (19,33)   (30,38)
(2,7)     (3,26)    (5,26)    (7,35)    (11,16)   (14,17)   (19,35)   (31,37)
(2,8)     (3,35)    (5,36)    (7,36)    (11,19)   (14,20)   (19,37)   (34,37)
(2,9)     (3,36)    (5,37)    (7,37)    (11,23)   (14,22)   (20,21)   (35,38)
(2,11)    (3,37)    (6,7)     (7,38)    (11,26)   (14,26)   (20,29)   (36,37)
(2,14)    (3,38)    (6,9)     (8,11)    (11,35)   (14,30)   (20,32)
(2,16)    (4,5)     (6,11)    (8,13)    (11,36)   (14,32)   (20,33)
(2,20)    (4,6)     (6,14)    (8,14)    (11,37)   (14,33)   (20,37)
(2,22)    (4,8)     (6,16)    (8,15)    (11,38)   (14,35)   (21,29)
(2,26)    (4,11)    (6,19)    (8,19)    (12,13)   (14,37)   (22,30);