Open AccessReliability Study of <n, f, 2> Systems: A Generating Function Approach
Author(s) -
Ioannis S. Triantafyllou
Publication year - 2020
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2021.6.1.005
Subject(s) - reliability (semiconductor) , function (biology) , signature (topology) , reliability engineering , computer science , independent and identically distributed random variables , line (geometry) , carry (investment) , mathematics , algorithm , statistics , random variable , engineering , physics , power (physics) , geometry , finance , quantum mechanics , evolutionary biology , economics , biology
In this paper we carry out a reliability study of the 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.