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Acta Armamentarii ›› 2025, Vol. 46 ›› Issue (5): 240604-.doi: 10.12382/bgxb.2024.0604

Special Issue: 蓝色智慧·兵器科学与技术

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Importance Analysis for Multi-state Complex System Reliability Based on Improved Generating Function

SHI Yuedong, QIAN Chao, SHAO Songshi, HU Junbo*()   

  1. Naval University of Engineering, Wuhan 430033, Hubei, China
  • Received:2024-07-22 Online:2025-05-07
  • Contact: HU Junbo

Abstract:

Study on the reliability importance of multi-state complex system can help analyze and identify the potential technical weaknesses in system design, and is of great significance for achieving the refined management of system state performance. By introducing an improved generating function model and constructing a system-level generating function for specific state reachable threshold, a generalized closed solution system and a high-precision analysis algorithm for reliability importance that can adapt to complex task functional systems with multiple states are proposed. Engineering case verification shows that the proposed algorithm has a high accuracy in distinguishing reliability importance, and is more conducive to achieving the refined management of reliable states in complex system. Meanwhile, the proposed algorithm has low requirements for programmatic computing resources and can avoid the technical bottleneck of state differential calculation in high-dimensional complex system. Its engineering application value is more prominent. The research results can be used for the importance analysis and refined management of other general quality characteristics in multi-state complex system, and have important technical guidance for scientifically allocating support resources and reasonably planning preventive maintenance work.

Key words: complex system, multi-state, reliability, importance analysis, improved generating function, refined management

CLC Number: