International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Signature of A-Within-B-From-D/G Sliding Window System

Akshay Kumar
Department of Applied Sciences, Tula's Institute, The Engineering and Management College, Uttarakhand, India.

S. B. Singh
Department of Mathematics, Statistics & Computer Science, G. B. Pant University of Agriculture & Technology, Pantnagar, Uttarakhand, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.1-009

Received on June 14, 2018
  ;
Accepted on July 24, 2018

Abstract

In this study, we have proposed a model of the sliding window coherent system in case of multiple failures. The considered model consists of G linearly required multi-state elements and G number of parallel elements in A-within-B-from-D/G for each multi-state. The system fails if at least A group elements out of B consecutive of D consecutive multi-state elements have performance lower than the weight w. We have evaluated the signature reliability, expected value and system sensitivity on the basis of the extended universal generating function of the considered system.

Keywords- Sliding window system, Universal generating function, Signature reliability, Sensitivity.

Citation

Kumar, A., & Singh, S. B. (2019). Signature of A-Within-B-From-D/G Sliding Window System. International Journal of Mathematical, Engineering and Management Sciences, 4(1), 95-107. https://dx.doi.org/10.33889/IJMEMS.2019.4.1-009.

Conflict of Interest

The authors confirm that this article contents have no conflict of interest.

Acknowledgements

The authors would like to express her sincere thanks to the referees and for their valuable suggestions towards to the improvement of the paper.

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