COMPARISON OF REDUNDANCY LEVELS USINGSTOCHASTIC ORDERINGS

Habeeb  Mohsin; Shawki  Shaker; Alia’a  Adnan

doi:10.24996/ijs.2010.51.3.%g

Authors

Habeeb Mohsin Department of Mathematics, College of Science, University of Al Baghdad. Baghdad- Iraq.
Shawki Shaker Department of Mathematics, College of Science, University of Al Baghdad. Baghdad- Iraq.
Alia’a Adnan Department of Mathematics, College of Science, University of Al Baghdad. Baghdad- Iraq.

DOI:

https://doi.org/10.24996/ijs.2010.51.3.%25g

Keywords:

REDUNDANCY, USINGSTOCHASTIC

Abstract

In this research we concern with the comparison between the two ways of
providing redundant units for a system:-
1. Component redundancy.
2. System redundancy.
The comparison between these ways is carried out by comparing the random
variable representing the lifetime of the system resulted from applying component
redundancy with the random variable representing the lifetime of that resulted from
applying system redundancy using some types of stochastic orderings, namely:
(1) usual stochastic ordering, (2) failure rate ordering, (3) likelihood ratio ordering,
(4) reversed failure rate ordering and (5) mean residual life ordering.