Survivability and Traffic Grooming in WDM Optical Networks

19.6: Light Trail Hop-length Limit: Tlmax = 4

19.6 Light Trail Hop-length Limit: Tl max = 4

CPLEX Linear Optimizer 7.0 is used to solve the ILP formulation proposed. It is assumed that each candidate path can be used once, that is, u = 1. Assume that the hop-length limit Tl max = 4, from the topology it is observed that all s-d pairs have paths within this hop-length limit. Hence, the traffic matrix preprocessing does not make any change in the given traffic matrix.

Table 19.2 presents the results obtained by solving the ILP formulation with a hop-length limit of Tl max = 4. It is observed that W = 4 is sufficient on each link, although there is no constraint imposed on the number of wavelengths.

Table 19.2: ILP: Resulting light trails Tl max = 4

No.

Light trails

Hops

Accommodated s-d pairs

Load

1

{2, 3, 4, 7, 9}

4

(3, 7) (3, 4) (2, 7) (2, 9) (4, 9)

23

2

{3, 2, 6, 8, 10}

4

(2, 6) (2, 8) (2, 10) (3, 6) (3, 8) (3, 10)

32

3

{4, 3, 2, 1, 5}

4

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

34

4

{4, 7, 6, 8, 10}

4

(6, 8) (6, 10) (4, 6) (4, 7) (4, 8) (4, 10)

22

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