Explain Shortest Path Routing Algorithm.

Shortest Path Routing Algorithm is a fundamental concept in data communication and computer networks, primarily used for determining the most efficient path for data to travel from a source to a destination across a network. The algorithm plays a crucial role in routing decisions and is integral to the operation of various network protocols. In this context, the shortest path is typically understood as the path with the least cost, where cost could be measured in terms of distance, delay, bandwidth, or any other metric deemed relevant for the network. The algorithm ensures that data packets take the optimal route, minimizing delays and reducing the load on network resources.

### The Dijkstra Algorithm

One of the most widely known and used shortest path routing algorithms is Dijkstra’s Algorithm. Developed by Edsger Dijkstra in 1956, this algorithm computes the shortest paths from a source node to all other nodes in a weighted graph. It is a greedy algorithm, meaning that it makes the locally optimal choice at each stage with the hope of finding the global optimum.

#### Working of Dijkstra’s Algorithm:

The algorithm works by iteratively selecting the node with the smallest tentative distance, updating the distance estimates for its neighbors, and marking it as permanently labeled once it has been processed. This procedure continues until the destination node is reached or all nodes have been processed.

1. Initialization: 
   The algorithm starts by assigning an initial distance of zero to the source node and infinity to all other nodes. The source node is marked as the current node.

2. Distance Update: 
   For the current node, the algorithm examines its neighboring nodes. If the total distance from the source node to a neighboring node ___ ______ ______ ___ __________ ___ ____ _______ ______ ____ ___ ________.
__________ _____ ___ ______ _________ ___ _____.
________ _____ ___ ________ ________ _______.
_____ ______ ____ ________ _____ ___.
____ ___ ______ ________ __________ ______ ______ _______ _______.
____ ___ _______ _____ ___ __________ ____ _______ ____ ________ ___ _____.
____ __________ ____ ___ ___ _____ ____ _________ _____.
____ __________ ___ _______ __________ _____ _____.
__________ _____ _____ _______ ___ ____ ___ ___ _____ _______ _________ _______.
__________ ____ ___ __________ ___.
___ ________ ________ ___ _________ _____ _________ ________ ________ ________.
______ ________ __________ ____ _________ _____ _______ ____ _______.
________ _____ _________ _____ _____.
__________ __________ __________ _______ _______ _____ ___.
______ ________ _________ ___ _____ ________ _______.
_____ _____ ____ ________ _______ _________ ________ ____ ______.
________ ____ ____ ______ ________ ____ _________ _________ _______.
_________ _______ _____ ________ _________ ________ _________ ____ ________.
____ _____ __________ ____ _________ ______ ________ ___ _____ _______.
________ ____ _______ __________ ___ ____ ___.
____ _______ __________ _______ ____.
____ ______ ______ __________ _______.
________ ____ _____ _____ ____ _______ _____ ________ _____ ____ ________.
____ _____ _______ _____ ___ _____ ______ __________ _______ ________.
__________ _____ _____ ______ _____ _________ ________ __________.
_______ _________ ______ _______ _____ ________ ____.
____ __________ _________ _______ ___ _______ ________ ___.
________ __________ __________ _____ _______ _____ ____ ________ ______.
___ _______ ___ _______ ____ ____ ___ __________ _________.
_____ ______ ___ _______ ______.
_____ ____ _______ _________ _____ __________.
____ ___ _______ ___ _____ ______ __________ ________ ________ _______ ________.
_______ _____ _________ _____ __________ __________ _________ _______ _______ _______.
_________ ___ _____ _______ ___ _________.
____ ______ __________ __________ ____ _____ ______ ____ ________ ___.
_____ _____ __________ __________ ________ _________ _________ _______ _________.
__________ _________ _______ _________ ________ __________ ______ __________ ______ ___ __________.
___ ____ _______ ______ _____ __________ ____ _______ ________ _____ ________.
________ _____ _________ _____ _______ ______ _______ ______ ______ _________ ____ _____.
___ ________ _________ __________ _______ __________ _______ _____ ________ ______ ______ ___.
_____ _______ ________ ______ _____ _________ ______ _______ ______ _____.
_________ ____ __________ ______ _________ ___.
_________ ________ _______ ________ ________ ______ _____ _____ _________ ______ ___.
___ _________ ____ __________ ___ _______.
________ ____ ___ ________ ________ _________.
__________ _________ _____ ____ ____ ______ __________ __________.
________ ____ ___ _____ _________ ____ _________ ___ __________ ____ _______.
________ ____ _____ ___ ___.
__________ __________ __________ ________ ______ _______ ______ ________ _______ _______.
____ ____ ____ ____ _______ _______.
___ __________ ___ ______ ___.
______ ___ ____ _______ ________ _________ ____ _________ __________ ____ ___ ___.
__________ ___ _____ ________ __________ __________ _______ ___.
__________ ____ ________ ____ _________ __________ ______.
__________ ______ __________ ___ ___ _____ _______ ____ ________ ________ _________.
______ ____ ________ _____ ______ ______ ___ ________ ___ ______ ____ __________.
________ __________ __________ ______ _________ ________ ______ ______.
______ _________ _____ ________ ______ ____ _____ ___.
__________ ___ ___ ____ _______ _______.
____ _________ _________ ___ __________ _________ ________.
_______ _______ _______ __________ __________ _____ _____ __________ __________ ____ ____ ____.
_______ __________ __________ ___ __________ __________ ______ ___ _________ ___ ______.
_____ _________ ________ ______ ______ _____ _________ ___ _____ ______ __________ __________.
________ ____ _______ ____ __________.
________ ____ ___ __________ _____ __________.
_____ _________ ___ _____ _______ _________ _______ __________ ____.
______ _______ ______ __________ ___ ________ __________ __________ _______ _______ _____ ___.
_____ ________ ____ _________ __________.
_________ ____ ___ _____ _______.
________ ________ _______ ____ _________ __________ ____.
_________ ___ _______ _____ __________ __________ _________ _____ ____.
_____ _______ ________ __________ ___.
_____ _______ _________ ____ ________ __________ _____ _______ _________.
______ ___ _________ _____ ____ _______.
_________ ________ _______ ________ _________ ___ ____ _________ __________.
_____ _____ __________ _______ _____ ______ ________ _______ ____ _____ ________.
_______ ___ _______ ___ ___ ________ _____ _____ _____ _____ ________.
__________ _______ _______ ________ ______ ___ _________ ________ ________ ______ ______.
__________ ________ _______ ________ _______ __________ _______.
_________ _______ ________ _______ ______ __________ ________ ___ _____ _____.
_____ __________ ___ ________ __________ ________ ______.
_________ _____ ___ ________ _________ _________ __________ _______.
______ ___ __________ ______ ________ _______ _________ _______.
__________ ______ ___ ________ ______ ______ ____ _______ _____ _____ ______.
_____ ________ _____ ____ ____ ______ __________ _____.
________ ______ _________ _______ ________ _______ __________ _____ ________ ________ ____ ___.
_____ ___ ___ ____ _______ _________ _________ ________ __________ _________ ______ _________.
________ _________ ______ _________ _______ _____ ______.
______ __________ ___ ______ _______ ______ ___.
____ ____ __________ ____ __________ ____.
_______ __________ __________ ____ ___ ___.
_______ ____ ___ _______ _____ __________ _________ _____ _________ ______.
_______ _____ _________ __________ _______ _______ _______ __________ __________ ___.
_____ ______ ______ _________ _______ ________.
___ ______ ________ __________ ________ ________ ___ _______ _________ ___ ________ _______.
_____ ____ __________ ___ ________ ______.
___ _____ ____ _______ _______.
_____ _______ ________ _______ _____ ____ ________ _________ ____ __________.
_____ _______ ____ ____ ______ _______ ____ __________ __________ _________.
_________ ______ _______ __________ __________ ____ ____ __________ __________ ________.
__________ _____ ________ _______ ______ ___ _______ _____ _________.
___ ____ _______ ____ ___.
Get Full Answer on WhatsApp