Survivability and Traffic Grooming in WDM Optical Networks

19.10: ILP Formulation: Connection-based Protection

19.10 ILP Formulation: Connection-based Protection

Given the network topology G( V, E), and the traffic matrix obtained from traffic matrix preprocessing, one first lists all possible paths with the hop-length limit constraint for each s-d node-pair. This can be accomplished by using a breadth-first search for each node. These eligible paths form a set of all possible light trails. Among all the possible choices, an optimal set of paths is chosen to form the light trail network such that the total number of light trails are minimized and the demand constraint and the protection constraint are met. This problem is formulated as an ILP optimization problem. It is also assumed that each request cannot be split into multiple parts.

19.10.1 Notation

The network topology is represented as a directed graph G( V, E) with V = N nodes and E = L links with W wavelengths on each link. The following notation is used.

  • n =1 , 2 ,..., N: number assigned to each node in the network.

  • p, p 1 , p 2 =1 , 2 ,..., P: number assigned to a path in the network.

  • i, j, k = 1 , 2 ,..., N( N ? 1): number assigned to a node-pair. The source and destination nodes of a connection request form a node-pair.

The following notation is used for path-related...

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