Dijkstra Algorithm MATLAB

In this project you will implement Dijkstra's algorithm to find the 3 - link disjoint shortest paths between two nodes (node 1 and node 4) shown in fig P2.1. Link disjoint paths share no links. To do this, you first find the shortest path. The links in this path are then deleted from the graph. Then you find the shortest path in the reduced graph (this is the 2nd link disjoint shortest path). These links are then deleted. Finally you do it one more time for the 3rd shortest path.

Input to your program:

- NxN connectivity matrix with entry Cij.

- Cij is the distance of going from node i to neighboring node j.

Output of your program:

- shortest path to destination node 4 from the source node 1 for each of the 3 shortest path disjoint links (routing tables) and

- the total distance of each of the 3 link disjoint shortest paths.

Consider the network shown in fig. P2.1 as your test case. Node 1 is the root (source node) and node 4 is the destination node.

Fig P2.1 A network graph with link costs indicated

Skills: Algorithm, Mathematics, Matlab and Mathematica, Software Architecture

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