Algorithm for Computing the System Signatures of Linear and Circular Connected-(1,2)-or-(2,1)-out-of-(m,n):F Lattice Systems

Author:

Nakamura Taishin1ORCID,Yamamoto Hisashi2

Affiliation:

1. School of Information Science and Technology, Tokai University, Kanagawa, Japan

2. Faculty of Systems Design, Tokyo Metropolitan University, Tokyo, Japan

Abstract

This study focuses on developing an algorithm to compute the system signatures of linear and circular connected-[Formula: see text]-or-[Formula: see text]-out-of-[Formula: see text]:F lattice systems. In reliability engineering, system signatures have diverse theoretical applications, such as conducting stochastic comparisons of certain systems, deriving mean time to failure, and providing optimal maintenance policy. However, the complexity involved in computing the system signature increases with the increase in the number of components, making the aforementioned applications challenging. Moreover, the computation of system signatures for connected-[Formula: see text]-or-[Formula: see text]-out-of-[Formula: see text]:F lattice systems has not been sufficiently discussed. Thus, this study proposes an algorithm for computing the system signatures of both linear and circular connected-[Formula: see text]-or-[Formula: see text]-out-of-[Formula: see text]:F lattice systems. Numerical experiments were conducted to investigate the efficiency and it was determined that the proposed algorithm can generate system signatures that the enumerative method cannot obtain. Consequently, the proposed algorithm will contribute to various applications.

Funder

Grant-in-Aid for Early-Career Scientists

Transcosmos foundation

Publisher

World Scientific Pub Co Pte Ltd

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Safety, Risk, Reliability and Quality,Nuclear Energy and Engineering,General Computer Science

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Reliability of three-dimensional consecutive k-type systems;Reliability Engineering & System Safety;2023-05

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