An artificial bee colony optimization algorithms for solving fuzzy capacitated logistic distribution center problem

Abstract

This paper presents a methodological approach to solving the fuzzy capacitated logistic distribution center problem, with a focus on the optimal selection of distribution centers to meet the demands of multiple plants. The distribution centers are characterized by fixed costs and capacities, while plant demands are modeled using fuzzy triangular membership functions. The problem is mathematically formulated by converting fuzzy demands into crisp values, providing a structured framework for addressing uncertainty in logistic planning. To support future research and facilitate comparative analysis, 20 benchmark problems were generated, filling a gap in the existing literature. Three distinct artificial bee colony algorithm variants were hybridized with a heuristic: one using the best solution per iteration, another incorporating chaotic mapping and adaptive procedures, and the third employing convergence and diversity archives. An experimental design based on Taguchi's orthogonal arrays was employed for optimizing the algorithm parameters, ensuring systematic exploration of the solution space. The developed methods offer a comprehensive toolkit for addressing complex, uncertain demands in logistic distribution, with code provided for reproducibility.

Key contributions include:

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  Development of a fuzzy model for the selection of distribution centers with fixed costs and capacities under uncertain plant demands.
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  Generation of 20 benchmark problems to advance research in the fuzzy capacitated logistic distribution center problem domain.
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  Integration of a heuristic approach with three distinct ABC algorithm variants, each contributing unique methodological insights.