Choosing a reliability inspection plan for interval censored data

Lu, Lu; Anderson-Cook, Christine Michaela

doi:10.1080/08982112.2017.1321118

Title: Choosing a reliability inspection plan for interval censored data

Abstract

Reliability test plans are important for producing precise and accurate assessment of reliability characteristics. This paper explores different strategies for choosing between possible inspection plans for interval censored data given a fixed testing timeframe and budget. A new general cost structure is proposed for guiding precise quantification of total cost in inspection test plan. Multiple summaries of reliability are considered and compared as the criteria for choosing the best plans using an easily adapted method. Different cost structures and representative true underlying reliability curves demonstrate how to assess different strategies given the logistical constraints and nature of the problem. Results show several general patterns exist across a wide variety of scenarios. Given the fixed total cost, plans that inspect more units with less frequency based on equally spaced time points are favored due to the ease of implementation and consistent good performance across a large number of case study scenarios. Plans with inspection times chosen based on equally spaced probabilities offer improved reliability estimates for the shape of the distribution, mean lifetime, and failure time for a small fraction of population only for applications with high infant mortality rates. The paper uses a Monte Carlo simulation based approach in additionmore »« less

Authors:

Lu, Lu ^[1];

^[2]

Univ. of South Florida, Tampa, FL (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: 2017-04-19

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOD; USDOE

OSTI Identifier:: 1353021

Report Number(s):: LA-UR-16-28975
Journal ID: ISSN 0898-2112

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Quality Engineering

Additional Journal Information:: Journal Volume: 29; Journal Issue: 3; Journal ID: ISSN 0898-2112

Publisher:: American Society for Quality Control

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; Mathematics

Citation Formats


                    Lu, Lu, and Anderson-Cook, Christine Michaela. Choosing a reliability inspection plan for interval censored data.  United States: N. p., 2017. 
Web.  doi:10.1080/08982112.2017.1321118.

Copy to clipboard


                    Lu, Lu, & Anderson-Cook, Christine Michaela. Choosing a reliability inspection plan for interval censored data.  United States.  https://doi.org/10.1080/08982112.2017.1321118

Copy to clipboard


                    Lu, Lu, and Anderson-Cook, Christine Michaela. Wed .  
"Choosing a reliability inspection plan for interval censored data".  United States.  https://doi.org/10.1080/08982112.2017.1321118.  https://www.osti.gov/servlets/purl/1353021.

Copy to clipboard


                    
@article{osti_1353021,

  title        = {Choosing a reliability inspection plan for interval censored data},

  author       = {Lu, Lu and Anderson-Cook, Christine Michaela},

  abstractNote = {Reliability test plans are important for producing precise and accurate assessment of reliability characteristics. This paper explores different strategies for choosing between possible inspection plans for interval censored data given a fixed testing timeframe and budget. A new general cost structure is proposed for guiding precise quantification of total cost in inspection test plan. Multiple summaries of reliability are considered and compared as the criteria for choosing the best plans using an easily adapted method. Different cost structures and representative true underlying reliability curves demonstrate how to assess different strategies given the logistical constraints and nature of the problem. Results show several general patterns exist across a wide variety of scenarios. Given the fixed total cost, plans that inspect more units with less frequency based on equally spaced time points are favored due to the ease of implementation and consistent good performance across a large number of case study scenarios. Plans with inspection times chosen based on equally spaced probabilities offer improved reliability estimates for the shape of the distribution, mean lifetime, and failure time for a small fraction of population only for applications with high infant mortality rates. The paper uses a Monte Carlo simulation based approach in addition to the common evaluation based on the asymptotic variance and offers comparison and recommendation for different applications with different objectives. Additionally, the paper outlines a variety of different reliability metrics to use as criteria for optimization, presents a general method for evaluating different alternatives, as well as provides case study results for different common scenarios.},

  doi          = {10.1080/08982112.2017.1321118},

  journal      = {Quality Engineering},

  number       = 3,

  volume       = 29,

  place        = {United States},

  year         = {2017},

  month        = {4}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1080/08982112.2017.1321118

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 1 work

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Inspection Efficiency and Sampling Inspection Plans
journal, December 1946

Lavin, Marvin
Journal of the American Statistical Association, Vol. 41, Issue 236
DOI: 10.1080/01621459.1946.10501889

Planning Life Tests in Which Units Are Inspected for Failure
journal, January 1986

Meeker, William Q.
IEEE Transactions on Reliability, Vol. 35, Issue 5
DOI: 10.1109/TR.1986.4335550

Accelerated life test plans under intermittent inspection and type-I censoring: The case of weibull failure distribution
journal, February 1991

Seo, Sun-Keun; Yum, Bong-Jin
Naval Research Logistics, Vol. 38, Issue 1
DOI: 10.1002/1520-6750(199102)38:1<1::AID-NAV3220380103>3.0.CO;2-3

Comparisons of Exponential Life Test Plans with Intermittent Inspections
journal, July 2000

Kim, Sun-Ho; Yum, Bong-Jin
Journal of Quality Technology, Vol. 32, Issue 3
DOI: 10.1080/00224065.2000.11979998

Selecting Failure Monitoring Times for an Exponential Life Distribution
journal, October 1996

Shapiro, Samuel S.; Gulati, Sneh
Journal of Quality Technology, Vol. 28, Issue 4
DOI: 10.1080/00224065.1996.11979700

Similar Records in DOE PAGES and OSTI.GOV collections:

A confidence interval for the mean of highly censored data

Conference Dakins, M E ; Porter, P S

This paper addresses the problem of estimating an upper confidence bound for the mean level of an air or water pollutant from highly censored data. Censoring is the practice of reporting ``not detected`` (ND) when a result is less than the limit of detection (LOD) where the LOD is defined on the basis of measurement precision. Highly censored data has a large percentage of values reported as ND. Upper bounds for mean concentrations are useful in assessing human health risks associated with long term exposure to toxic contaminants and in other environmental management decision making contexts. It is suggested thatmore »« less
Selecting a near-optimal design for multiple criteria with improved robustness to different user priorities

Journal Article Burke, Sarah E. ; Lu, Lu ; Anderson-Cook, Christine M. ; ... - Quality and Reliability Engineering International

In a decision-making process, relying on only one objective can often lead to oversimplified decisions that ignore important considerations. Incorporating multiple, and likely competing, objectives is critical for balancing trade-offs on different aspects of performance. When multiple objectives are considered, it is often hard to make a precise decision on how to weight the different objectives when combining their performance for ranking and selecting designs. We show that there are situations when selecting a design with near-optimality for a broad range of weight combinations of the criteria is a better test selection strategy compared with choosing a design that ismore »« less
Cited by 1
https://doi.org/10.1002/qre.2413

Full Text Available
Toward a lean analysis for waste to support the decommissioning operation - 15321

Conference Goutelard, Florence ; Courtadon, Anne ; Bec-Espitalier, Lionel ; ...

All over the world, several nuclear facilities have been shut down few years ago and are now under dismantling or will be dismantled in the future. - Dismantling project takes place according to three major phases: - Study and definition of the dismantling scenario - Dismantling site operations - Decommissioning and final state characterization. Each step is lead in agreement with safety, security and waste management. This requires analytical tools appropriate to the radiological environment and aims. In the field of security, fissile products, explosives... will be researched and quantified while occupational safety requires quantification of radiological, carcinogenic, mutagenic andmore »« less
Analysis of censored data in groundwater monitoring wells at the Savannah River Site

Technical Report Weber, J H

It is common in environmental analyses to deal with censored data. Censored data characteristically arise through laboratory analysis of samples with contaminant concentrations less than what the analytical method is able to reliably detect. These data are called ``less than detectable.`` Comparisons between downgradient or monitoring groundwater wells and upgradient or background wells are frequently done to determine if downgradient wells are more contaminated than background or some established maximum concentration limits (MCL`s). In addition, parameter estimates are often desired. The presence of censored data complicates the statistics that can be used as estimators for individual populations or to estimatemore »« less
https://doi.org/10.2172/10168354

Full Text Available
VALIDATION OF SPRING OPERATED PRESSURE RELIEF VALVE TIME TO FAILURE AND THE IMPORTANCE OF STATISTICALLY SUPPORTED MAINTENANCE INTERVALS

Conference Gross, R ; Stephen Harris, S

The Savannah River Site operates a Relief Valve Repair Shop certified by the National Board of Pressure Vessel Inspectors to NB-23, The National Board Inspection Code. Local maintenance forces perform inspection, testing, and repair of approximately 1200 spring-operated relief valves (SORV) each year as the valves are cycled in from the field. The Site now has over 7000 certified test records in the Computerized Maintenance Management System (CMMS); a summary of that data is presented in this paper. In previous papers, several statistical techniques were used to investigate failure on demand and failure rates including a quantal response method formore »« less
Full Text Available

Other research related to this record: