Optimal Component Assignment in Con/k/n:F Systems with u-out-of-m:F Subsystems  
Author

Taishin Nakamura

 

Co-Author(s)

 

Abstract System reliability is an important issue in modern production systems. In many cases, system performance depends on both redundancy and component assignment. This study considers the component assignment problem for a consecutive-kout-of-n:F system with embedded u-out-of-m:F subsystems. This model is more general than traditional models because each subsystem can fail even if not all components fail, and each subsystem can have a different number of components. The problem is formulated as a combinatorial optimization problem. To solve it efficiently, we propose a specialized algorithm with four pruning conditions. These conditions reduce the search space and improve computational efficiency. Numerical experiments show that the proposed method works effectively. The proposed model and algorithm can be useful for practical applications where system structures are complex and heterogeneous.

 

Keywords system reliability, component assignment problem, consecutive-k-out-of-n:F system, redundancy
   
    Article #:  RQD2026-157
 

Proceedings of 31st ISSAT International Conference on Reliability & Quality in Design
August 5-7, 2026