2022
DOI: 10.1371/journal.pone.0271928
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Optimal location of logistics distribution centres with swarm intelligent clustering algorithms

Abstract: A clustering algorithm is a solution for grouping a set of objects and for distribution centre location problems. But the common K-means clustering algorithm may give local optimal solutions. Swarm intelligent algorithms simulate the social behaviours of animals and avoid local optimal solutions. We employ three swarm intelligent algorithms to avoid these solutions. We propose a new algorithm for the clustering problem, the fruit-fly optimization K-means algorithm (FOA K-means). We designed a distribution cent… Show more

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Cited by 6 publications
(5 citation statements)
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“…If we make c ¼ TÀ EðTÞ ffi ffi ffi ffi ffi ffiffi We assume that the probability density function of ψ is F(ψ). If constraint ( 14) holds at confidence level α, it follows from Eqs ( 18) and ( 19) that constraint (14) can be transformed into constraint (20) when and only when a = b. If constraint (14) holds at confidence level a, from constraints (18) and (19), when and only when FðcÞ 14) can be transformed into constraint (20).…”
Section: Stochastic Constraint Transformationmentioning
confidence: 99%
See 1 more Smart Citation
“…If we make c ¼ TÀ EðTÞ ffi ffi ffi ffi ffi ffiffi We assume that the probability density function of ψ is F(ψ). If constraint ( 14) holds at confidence level α, it follows from Eqs ( 18) and ( 19) that constraint (14) can be transformed into constraint (20) when and only when a = b. If constraint (14) holds at confidence level a, from constraints (18) and (19), when and only when FðcÞ 14) can be transformed into constraint (20).…”
Section: Stochastic Constraint Transformationmentioning
confidence: 99%
“…Mathematical planners, including LINGO, CPLEX software, etc., have significant advantages in solving small-scale optimization problems; however, when the optimization problem is large in size, the mathematical planners are unable to obtain the appropriate solution in the specified time. On the other hand, metaheuristic algorithms such as genetic algorithm (GA) [ 18 ], PSO algorithm [ 19 ], hybrid clustered ant colony algorithm (ACO K-means) [ 20 ], and sorting-based heuristics [ 21 ] are prone to local optimality.…”
Section: Introductionmentioning
confidence: 99%
“…Results verified the superiority of this approach over fuzzy C-means, and K-means methods using GPS datasets from Aracaju, Beijing, Chongqing, Rome, and San Francisco. Additionally, Lin, Wu, and Pan used Fruit-Fly optimized K-means algorithm to boost distribution efficiency and the location solution for logistics distribution centers [34]. Tabianan, Velu, and Ravi used K-Means clustering to boost corporate profits and avoid customer churn based on shared behavioral traits [35].…”
Section: Related Workmentioning
confidence: 99%
“…Artificial bee colony [16] was also adopted as a clustering algorithm to minimize the execution time and to optimize the clustering according to dataset size. Lin et al [17] proposed a new algorithm for the clustering problem, the fruit-fly optimization k-means algorithm and designed a distribution centre location problem and three clustering indicators to evaluate the performance of the algorithm. Tawhid et al [18] developed a new hybrid swarm intelligence optimization algorithm called monarch butterfly optimization algorithm with cuckoo search algorithm for optimization problems.…”
Section: ) Clustering Algorithmsmentioning
confidence: 99%