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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


Reliability Study of <n, f, 2> Systems: A Generating Function Approach

Reliability Study of <n, f, 2> Systems: A Generating Function Approach

Ioannis S. Triantafyllou
Department of Computer Science & Biomedical Informatics, University of Thessaly, Lamia, Greece.

DOI https://doi.org/10.33889/IJMEMS.2021.6.1.005

Received on December 06, 2019
  ;
Accepted on February 21, 2020

Abstract

In this paper we carry out a reliability study of the <n, f, 2> systems with independent and identically distributed components ordered in a line. More precisely, we obtain the generating function of structure’s reliability, while recurrence relations for determining its signature vector and reliability function are also provided. For illustration purposes, several numerical results are presented and some figures are constructed and appropriately commented.

Keywords- Samaniego’s signature, Generating function, <n, f, k> system.

Citation

Triantafyllou, I. S. (2021). Reliability Study of <n, f, 2> Systems: A Generating Function Approach. International Journal of Mathematical, Engineering and Management Sciences, 6(1), 44-65. https://doi.org/10.33889/IJMEMS.2021.6.1.005.