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This research delves into the crucial function of minimal paths in deciding the reliability of Complex Series–Parallel (CSP) networks. The main aim is to examine and identify these paths at the system level as well as in its complex subsystems. By targeting subsystems, we hope to conserve effort and time without the need for heavy calculations. Advanced mathematical techniques and specific algorithms are used to detect minimal paths with the aid of strong equations and formulas. This research invites additional studies to advance the application of minimal path extraction and open the door to breakthroughs in network design and optimization.

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Finding General Mathematical Formulas for Extraction the Minimal Path Sets of Complex Series-Parallel Networks

  • 会议论文

  • 发表日期：

    2026年

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  • Mariem H. Lafta,
  • Zahir Al-Khafaji

摘要

This research delves into the crucial function of minimal paths in deciding the reliability of Complex Series–Parallel (CSP) networks. The main aim is to examine and identify these paths at the system level as well as in its complex subsystems. By targeting subsystems, we hope to conserve effort and time without the need for heavy calculations. Advanced mathematical techniques and specific algorithms are used to detect minimal paths with the aid of strong equations and formulas. This research invites additional studies to advance the application of minimal path extraction and open the door to breakthroughs in network design and optimization.