An Evaluation of the Dijkstra’s Algorithm, Floyd’s Algorithm and Ant Colony Optimization
A. J. Khan1, Nikita Dewangan2
1Dr. A. J. Khan, Associate Professor, Department of Mathematics, MATS University, Raipur (Chhattisgarh), India.
2Nikita Dewangan, Scholar, Department of Mathematics, MATS University, Raipur (Chhattisgarh), India.
Manuscript received on 29 March 2025 | First Revised Manuscript received on 07 April 2025 | Second Revised Manuscript received on 11 April 2025 | Manuscript Accepted on 15 April 2025 | Manuscript published on 30 April 2025 | PP: 38-42 | Volume-5 Issue-1, April 2025 | Retrieval Number: 100.1/ijam.A119805010425 | DOI: 10.54105/ijam.A1198.05010425
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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Travel is the movement of people between distant geographical locations. It can assist in enhancing our well-being, increasing our understanding, socializing with new individuals, relaxing and unwinding, seeking adventure, creating memories, improving mental and physical health, and immersing ourselves in different cultures. In this paper, we briefly explain the shortest path and their types applicable in practical life. The shortest path problem is a flexible and crucial instrument in different areas, facilitating effective route planning, network optimization, and resource distribution. There are many popular algorithms for solving the shortest distance path problem and its variations. We discuss how to create the most efficient route and introduce Dijkstra’s algorithm, Floyd’s algorithm, and Ant Colony Optimization to decrease the overall path expense, which could be distance, time, or another factor for the given scenario. We use two scenarios and evaluate Dijkstra’s algorithm, Floyd’s algorithm, and Ant Colony Optimization to determine the shortest route in practical situations to enhance efficiency in solving the identical issue.
Keywords: Ant Colony Optimization, Dijkstra’s algorithm, Floyd’s algorithm, Shortest Path, Travelling.
Scope of the Article: Operation Research