Robots are increasingly utilized in healthcare applications through Ambient Assisted Living techniques to enhance lifestyles and improve task efficiency. However, optimizing task allocation in multiple-robot systems remains a significant challenge due to dynamic requirements, robot heterogeneity, and computational constraints. This paper introduces the Bacterial Foraging Optimization Building Block Distribution (BFOBBD) algorithm, a novel approach for dynamically allocating tasks to robots based on utility, interdependence, and computational efficiency. The proposed algorithm addresses the limitations of existing methods by integrating probabilistic modeling with multivariate factorization to optimize task allocation. Experimental results demonstrate that the BFOBBD algorithm reduces task allocation time to 4.23 s, significantly outperforming methods such as FA-POWERSET-MART (20.19 s) and FA-QABC-MART (5.26 s). This work contributes a robust, scalable solution for task allocation in healthcare environments, enabling robots to handle multiple tasks efficiently with minimal computation.
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