Survivability and Traffic Grooming in WDM Optical Networks

19.7: Light Trail Hop-length Limit: Tlmax = 5

19.7 Light Trail Hop-length Limit: Tl max = 5

When Tl max increases to 5, the running time for solving the ILP formulation increases dramatically. This is because, as mentioned earlier, the number of candidate paths increases very fast as Tl max increases. This increase introduces a significant number of variables and constraints in the ILP formulation. The optimal solution contains 10 light trails: the detailed results are shown in Table 19.7. The heuristic algorithms give solutions in a timescale of seconds. The better solution obtained from using both best-fit increasing packing order and best-fit decreasing packing order consists of 13 light trails as shown in Table 19.8.

Table 19.7: ILP: resulting light trails Tl max = 5

No.

Light trails

Hops

Accommodated s d pairs

Load

1

{1, 2, 3, 4, 7, 6}

5

(1, 4) (1, 6) (1, 7) (3, 6) (4, 6)

39

2

{2, 1, 6, 7, 9, 10}

5

(2, 1) (2, 6) (2, 7) (2, 9) (2, 10) (1, 9)

(1, 10) (9, 10) (6, 9) (6, 10)

47

3

{3, 4, 7, 8, 10, 9}

5

(3, 7) (3, 8) (3, 10) (4, 7) (4, 8) (4, 9)

(4, 10) (7, 8) (7, 9) (10, 9)

42

4

{4, 3, 2, 1, 5, 8}

5

(4, 1) (4, 5) (3, 2) (3, 1) (3,...

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