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Route Optimization with Dijkstra’s Algorithm

Overview

This project is a technical description of route optimization in modern navigation systems. It explains how road networks are represented as weighted graphs and how Dijkstra’s Algorithm computes the lowest-cost path between locations.

The document focuses on the internal operation of the system—modeling, computation, and dynamic updates—rather than user interaction. It is written for a general audience and uses visualizations to make abstract computational processes more accessible.


Key Concepts

Weighted Graphs

  • Nodes → intersections or endpoints
  • Edges → roads connecting nodes
  • Weights → travel cost (time, distance, traffic)

Dijkstra’s Algorithm

The algorithm finds the shortest path from a starting node to all other nodes by:

  1. Initializing distances (start = 0, others = ∞)
  2. Selecting the smallest unvisited node
  3. Updating neighboring nodes
  4. Repeating until the destination is reached

What This Project Shows

1. Graph Representation

  • Converts a road layout into a weighted graph
  • Visual distinction between nodes, edges, and weights

2. Step-by-Step Algorithm Execution

  • Interactive walkthrough of Dijkstra’s Algorithm
  • Shows how distances update over time
  • Demonstrates decision-making at each step

3. Route Optimization

  • Highlights how the shortest path is formed
  • Connects graph theory to real navigation systems

4. Real-World Behavior

  • Accounts for:
    • Traffic updates
    • Road constraints (one-way, closures)
    • Continuous recalculation

Tech Stack

  • HTML (structure and visualization)
  • CSS (layout and styling)
  • JavaScript (interactive algorithm simulation)

Project Structure