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International Society of Science and Applied Technologies |
Perturbation Strategies for the Component Assignment Problem in Three-Dimensional Consecutive-k Systems | ||||
Author | Taishin Nakamura
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Co-Author(s) | Tomoaki Akiba; Koji Shingyochi
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Abstract | This paper addresses the component assignment problem in linear connected-(1,1,2)!-out-of-(n1,n2,n3):F systems, where system failure occurs if and only if a pair of adjacent failed components is arranged along any of the three coordinate axes. We propose an iterated local search algorithm incorporating five different perturbation methods specifically designed for this system. Computational experiments on various system sizes reveal that the effectiveness of these perturbation methods depends on the system’s size parameters. Notably, the parity (even or odd) of these parameters influences the optimal component arrangement, as certain advantageous patterns are more easily achieved in systems with odd parameters. The proposed perturbation strategies can also serve as mutation operators in genetic algorithms and other metaheuristics.
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Keywords | Three-dimensional Consecutive-k System, Component Assignment Problem, Iterated Local Search, Optimization | |||
Article #: RQD2025-188 |
Proceedings of 30th ISSAT International Conference on Reliability & Quality in Design |