Start by implementing the standard Dijkstra's algorithm from both the source and destination nodes separately, storing the shortest distances in two separate arrays.

Modify the algorithm to run the two Dijkstra's simultaneously, stopping when a node is visited by both searches, then combine the distances from both directions to get the shortest path.

Optimize the bidirectional search by using a priority queue that prioritizes nodes based on the sum of the distances from both searches, and ensure proper termination conditions to handle cases where no path exists.