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An enhanced connected banking system optimizer incorporating triple mechanism for solving global optimization problems
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  • Published: 07 February 2026

An enhanced connected banking system optimizer incorporating triple mechanism for solving global optimization problems

  • Dake Qian1 na1,
  • Xinyu Cai2 na1,
  • Leidong Feng2 &
  • …
  • Yun Ye3,4 

Scientific Reports , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Engineering
  • Mathematics and computing

Abstract

Connected Banking System Optimizer (CBSO) is a recently proposed meta-heuristic inspired by inter-bank financial transactions. It models inter-bank transaction behaviors across four sequential stages, collectively balancing exploration and exploitation. When confronted with complex landscapes, however, CBSO exposes three critical weaknesses: limited global-search capacity, an abrupt phase switch that disrupts the exploitation-exploration balance, and a pronounced tendency toward premature stagnation. These shortcomings become more conspicuous as problem complexity rises, undermining the algorithm’s ability to locate the true optimum. To overcome these deficiencies, this paper presents an enhanced variant—ECBSO—which incorporates three complementary mechanisms: dominant group guidance strategy, guided learning strategy, and hybrid elite strategy. The ECBSO algorithm is comprehensively evaluated on the CEC 2017 benchmark suite and on real-world constrained engineering problems, outperforming CBSO, ISGTOA, EMTLBO, LSHADE, APSM-jSO, GLS-MPA, ESLPSO, ACGRIME, RDGMVO in all comparisons. Statistically, ECBSO secures first place across every test case, delivering Friedman ranks of 2.069, 2.138, 2.690, and 2.759, thereby confirming its superior convergence accuracy, search reliability, and optimization precision across diverse landscapes.

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Data availability

The data is provided within the manuscript.

Code availability

The source codes of ECBSO are available at https://ww2.mathworks.cn/matlabcentral/fileexchange/182915-ecbso-an-enhanced-connected-banking-system-optimizer.

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Funding

This work was supported by the Zhejiang Provincial Natural Science Foundation of China (LQN25E080011), Ningbo Natural Science Foundation (2024J440), Major Special Project of Philosophy and Social Sciences Research by the Ministry of Education of the People’s Republic of China: "All-Round Human Development and Common Prosperity" (2023JZDZ035), the Zhejiang Provincial Philosophy and Social Sciences Planning Special Project on 'Higher Education Basic Research Funding Reform’ (Grant Number: 25NDJC153YBMS), Major Humanities and Social Sciences Research Projects in Zhejiang Higher Education Institutions (Grant Number: 2024QN018), the Special Research Project for Outstanding Young Talents in Humanities and Social Sciences (Grant Number: 06) and the Nanhu Outstanding Young Scholar Program (Grant Number: 01).

Author information

Author notes
  1. These authors contributed equally: Dake Qian and Xinyu Cai.

Authors and Affiliations

  1. School of Economics, Jiaxing University, Jiaxing, 314001, China

    Dake Qian

  2. College of Business, Jiaxing University, Jiaxing, 314001, China

    Xinyu Cai & Leidong Feng

  3. Department of Civil and Environmental Engineering, Imperial College London, London, SW7 2AZ, UK

    Yun Ye

  4. Faculty of Maritime and Transportation, Ningbo University, Ningbo, 315211, China

    Yun Ye

Authors
  1. Dake Qian
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  2. Xinyu Cai
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  3. Leidong Feng
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  4. Yun Ye
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Contributions

Dake Qian: conceptualization, methodology, writing, data testing, reviewing, software, supervision, formal analysis. Xinyu Cai: methodology, writing, data testing, reviewing, software. Leidong Feng: conceptualization, methodology, writing, re-viewing. Yun Ye: conceptualization, visualization, reviewing, formal analysis, supervision, project administration.

Corresponding authors

Correspondence to Leidong Feng or Yun Ye.

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Qian, D., Cai, X., Feng, L. et al. An enhanced connected banking system optimizer incorporating triple mechanism for solving global optimization problems. Sci Rep (2026). https://doi.org/10.1038/s41598-026-36149-2

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  • Received: 16 November 2025

  • Accepted: 09 January 2026

  • Published: 07 February 2026

  • DOI: https://doi.org/10.1038/s41598-026-36149-2

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Keywords

  • Connected banking system optimizer
  • Meta-heuristic algorithm
  • CEC 2017 test suite
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