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Florist Optimization Algorithm: A Novel Human-inspired Metaheuristic for Solving Optimization Problems

Tareq HamadnehDepartment of Mathematics , Al Zaytoonah University of Jordan , Amman 11733 , JordanMohanned Saadi AlsaudiSchool of Mathematical and Statistical Sciences , Southern Illinois University Carbondale , Carbondale , IL , USAMaha Al SoudiDepartment of Basic Scientific Sciences , Applied Science Private University , Amman 11931 , JordanIrina LeonovaFaculty of Educational Sciences and Humanities , International University of la Rioja (UNIR) , SpainAseel SmeratHourani Center for Applied Scientific Research , Al-Ahliyya Amman University , Amman 19328 , JordanMirjalol IsmoilovDepartment of Transport systems , Urgench State University named after Abu Rayhan Biruni , Urgench , 14 , Kh. Alimdjan str , Urgench city , 220100 , UzbekistanZeinab MontazeriDepartment of Electrical and Electronics Engineering , Shiraz University of Technology , Shiraz 7155713876 , IranMohammad DehghaniDepartment of Electrical and Electronics Engineering , Shiraz University of Technology , Shiraz 7155713876 , IranO.P. MalikDepartment of Electrical and Software Engineering , University of Calgary , Calgary , AB T2N 1N4 , CanadaKei EguchiDepartment of Information Electronics , Fukuoka Institute of Technology , Japan
2026
ABI

Annotatsiya

In this study, a novel metaheuristic algorithm, the Florist Optimization Algorithm (FOA), is introduced and developed, inspired by the social interactions between florists and customers within a flower shop.The theoretical foundations and core concepts underlying FOA are first elucidated, followed by a mathematical modeling of the population update process.The initial stage involves the random initialization of population members' positions within the search space.Subsequently, the population update proceeds iteratively through three well-defined strategies: (1) recommending the best flower model, (2) offering pre-arranged flowers available in the shop, and (3) preparing customized flower orders according to individual customer preferences.Analyses of population diversity and the exploration-exploitation dynamics indicate that FOA possesses a high capability to manage the balance between exploration and exploitation, while maintaining and controlling population diversity effectively.The algorithm's performance was evaluated on a set of 23 standard benchmark functions and compared against nine well-established metaheuristic algorithms.The results demonstrate that FOA, by leveraging intelligent exploration-exploitation management mechanisms, consistently delivers superior and stable performance relative to its competitors.Simulation results further reveal that FOA achieved first-rank optimization in 22 out of 23 benchmark functions (95.6%), underscoring its exceptional ability to rapidly identify promising regions and avoid local minima.These findings highlight that FOA, with its high convergence speed, stability, and reproducibility, can serve as an effective and reliable optimization tool for solving complex problems in both fundamental scientific research and real-world practical applications.

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