Approximations for the system hazard function.
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Authors
Hayne, William John
Subjects
reliability
hazard function approximation
hazard function approximation
Advisors
Esary, James D.
Date of Issue
1972-03
Date
March 1972
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
Methods for approximating the system hazard function are
developed for systems which have constant component failure
rates. The approximations are applicable to systems which
are "highly reliable," e.g., all component reliabilities
greater than 0.9 and system reliability greater than 0.95.
Three approximations are developed. The first-order approximation
is based on the system cuts of least size
(smallest cuts). The fix-up approximation is based on the
minimal cuts of the system and is an extension of the methods
used in NAVWEPS OD 29304. The second-order approximation is
a more accurate extension of the first-order approximation.
The advantages peculiar to each of these approximations
are:
(1) first-order: easy to calculate,
(2) fix-up: never leads to an overestimate of system
reliability,
(3) second-order: relatively more accurate.
Type
Thesis
Description
Series/Report No
Department
Operations Research and Administrative Sciences
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.