A study of the application of the lognormal distribution to corrective maintenance repair time
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Authors
Almog, Ronny
Subjects
Systems Engineering
Maintainability Demonstration
Lognormal Distribution
Repair Time
Probability Plotting
Goodness-of-fit Tests
Maintainability Demonstration
Lognormal Distribution
Repair Time
Probability Plotting
Goodness-of-fit Tests
Advisors
Kline, M.B.
Date of Issue
1979-06
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The usual mathematical formulation of availability
assumes an exponential distribution for failure and repair
times. While such an assumption is sometimes correct for
reliability, it is not valid for maintainability. This
study was conducted primarily in order to verify that the
lognormal distribution is a suitable descriptor for corrective
maintenance repair times, and to estimate the error
caused in assuming an exponential. distribution for availability
and maintainability calculations when in fact the
distribution is lognormal. Approximately 20 sets of existing
maintainability demonstration repair time data, of
essentially electronic systems, were analyzed using the
methods of probability plotting and statistical testing for
distributional assumption. The results show that the lognormal
distribution assumption cannot be rejected in most
of the cases, while the exponential distribution is rejected.
However, the error caused when assuming an exponential
distribution for MTTR is found to be negligible.
Type
Thesis
Description
Series/Report No
Department
Management
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.