Joint Reliability of Two Consecutive-(1, l) or (2, k)-out-of-(2, n): F Type Systems and Its Application in Smart Street Light Deployment

Joint Reliability of Two Consecutive-(1, l) or (2, k)-out-of-(2, n): F Type Systems and Its Application in Smart Street Light Deployment
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DOI:
10.1007/s11009-023-09984-3
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发表时间:
2023-02
影响因子:
0.9
通讯作者:
Jingwen Lu;He Yi;Xiang Li;N. Balakrishnan
Jingwen Lu;He Yi;Xiang Li;N. Balakrishnan
中科院分区:
数学4区
文献类型:
--
作者:
Jingwen Lu;He Yi;Xiang Li;N. Balakrishnan

文献摘要

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为了研究一些复杂的实际系统,如智能路灯系统组成的对称部署的照明和传感设备两侧的路段,两个连续的-(1,l)或(2,k)-出-(2,n):F型系统共享组件是非常有用的,因此,本文进行了研究。利用有限马尔可夫链嵌入方法(FMCIA)给出了两个系统的联合可靠度,并提出了一种新的计算此类系统联合特征的方法。与直接法相比,新方法不仅计算效率更高,而且给出了统一的数学形式。最后,给出了一些数值例子来说明计算过程,并提到了一些进一步的应用和扩展的模型和方法在这里发展。
To investigate some complex practical systems, such as a smart street light system composed of symmetrically deployed lighting and sensing equipment on both sides of a road segment, two consecutive-(1,l) or (2,k)-out-of-(2,n):Ftype systems that share components are quite useful and are therefore studied in this paper. The joint reliability of the two systems is presented by using the finite Markov chain imbedding approach (FMCIA), which also presents a new computational method for joint signatures of such systems. Compared to the direct method, the new method is not only computationally more efficient, but also presents a unified mathematical form. Finally, some numerical examples are presented to show the computational process, and some further applications and extensions of the models and the methods developed here are mentioned.