International Journal of Engineering
Trends and Technology

Research Article | Open Access | Download PDF
Volume 74 | Issue 5 | Year 2026 | Article Id. IJETT-V74I5P110 | DOI : https://doi.org/10.14445/22315381/IJETT-V74I5P110

Incorporation of Reinforcement Learning in Ant Colony Optimization Algorithm: Mathematical Analysis


Nami Susan Kurian, B.Rajesh Shyamala Devi

Received Revised Accepted Published
06 Oct 2025 17 Feb 2026 28 Feb 2026 30 May 2026

Citation :

Nami Susan Kurian, B.Rajesh Shyamala Devi, "Incorporation of Reinforcement Learning in Ant Colony Optimization Algorithm: Mathematical Analysis," International Journal of Engineering Trends and Technology (IJETT), vol. 74, no. 5, pp. 148-168, 2026. Crossref, https://doi.org/10.14445/22315381/IJETT-V74I5P110

Abstract

The research investigates the incorporation of Reinforcement Learning (RL) techniques into the metaheuristic Ant Colony Optimization tuned Traveling Salesman Problem (ACO-TSP) algorithm for data collection in Wireless Sensor Networks (WSNs) using the Mobile Sink (MS), aiming to enhance adaptiveness, intelligence, and decision-making efficiency. RL is an approach to machine learning where the algorithm learns using a reward-punishment technique, and the agent makes decisions through repeated interactions with the environment. The primary constraint of WSN is its limited energy, which results in challenging implementations, and hence, competent utilization of resources is required to ensure network longevity. Traditional methods in wireless sensor networks follow scheduled sleep, predefined routes, low adaptability, and no learning capability. Reinforcement learning maximizes the network lifetime, improves data collection, learns from the environment to handle dynamic topologies, which in turn reduces human interaction. In this article, a mathematical analysis of how to use reinforcement Q-Learning in ACO to find the optimal path is presented. Additionally, an analysis on how the mobile sink traverses through the Q-learning-based scheduled best path is done, and the suggested approach, Ant Colony Optimization with Mobile Sink and Q-learning algorithm (ACOMS-Q), is compared with prior research on different metrices, and it is found to be effective. In ACOMS-Q, the reinforcement learning algorithm learns and finds the active nodes based on node behavior such as buffer occupancy and energy level over time, reducing the tour length of the mobile sink, ensuring network longevity, and reducing delay.

Keywords

Ant Colony Optimization, Mobile Sink, Pheromone Level, REINFORCEMENT Q-LEARNING, Traveling Salesperson Problem.

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