Methods of Optimal Accelerated Life Test Plans: A Review

Jitendra Kumar; Kaushal Kumar; Nesar Ahmad

doi:doi:10.11648/j.ajtas.20241306.14

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Methods of Optimal Accelerated Life Test Plans: A Review

Jitendra Kumar^*

, Kaushal Kumar

, Nesar Ahmad

Published in American Journal of Theoretical and Applied Statistics (Volume 13, Issue 6)

Received: 1 November 2024 Accepted: 21 November 2024 Published: 9 December 2024

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Abstract

Accelerated life tests (ALT) have been used as a powerful tool to obtain time based information on the life span or performance characteristics over time of the items. Tests are performed under higher stressed levels instead of under normal use constraints. Obtained information as tests results are used to make predictions about life span over time at the real use. Accelerated testing under different stresses continuously helps in improving product reliability and in formulating warranty policies. This paper aims to provide insight into the methods of optimal acceleration life test designs. We first present a review of literature on optimum design of accelerated life tests in chronological order over the last six decades. Second, we present life time distributions with their mean lifetime or qth quantity and life stress relationship with their different factors level. We also present a flow chart outlining the process of accelerated life test planning. Further, we present the estimation methods commonly employed in the field of accelerated life testing, including least squares estimation, maximum likelihood estimation, graphical estimation, and Bayesian estimation. Finally, we provide an analytical discussion on accelerated life testing. This review aims to assist researchers, reliability engineers, and scientists in enhancing the design and planning of accelerated life tests.

Published in	American Journal of Theoretical and Applied Statistics (Volume 13, Issue 6)
DOI	10.11648/j.ajtas.20241306.14
Page(s)	213-226
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Accelerated Life Tests (ALT), Life-Stress Relationship, Lifetime Distribution Censoring, Estimation Methods

References

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Kumar, J., Kumar, K., Ahmad, N. (2024). Methods of Optimal Accelerated Life Test Plans: A Review. American Journal of Theoretical and Applied Statistics, 13(6), 213-226. https://doi.org/10.11648/j.ajtas.20241306.14

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Kumar, J.; Kumar, K.; Ahmad, N. Methods of Optimal Accelerated Life Test Plans: A Review. Am. J. Theor. Appl. Stat. 2024, 13(6), 213-226. doi: 10.11648/j.ajtas.20241306.14

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Kumar J, Kumar K, Ahmad N. Methods of Optimal Accelerated Life Test Plans: A Review. Am J Theor Appl Stat. 2024;13(6):213-226. doi: 10.11648/j.ajtas.20241306.14

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@article{10.11648/j.ajtas.20241306.14,
  author = {Jitendra Kumar and Kaushal Kumar and Nesar Ahmad},
  title = {Methods of Optimal Accelerated Life Test Plans: A Review
},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {13},
  number = {6},
  pages = {213-226},
  doi = {10.11648/j.ajtas.20241306.14},
  url = {https://doi.org/10.11648/j.ajtas.20241306.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20241306.14},
  abstract = {Accelerated life tests (ALT) have been used as a powerful tool to obtain time based information on the life span or performance characteristics over time of the items. Tests are performed under higher stressed levels instead of under normal use constraints. Obtained information as tests results are used to make predictions about life span over time at the real use. Accelerated testing under different stresses continuously helps in improving product reliability and in formulating warranty policies. This paper aims to provide insight into the methods of optimal acceleration life test designs. We first present a review of literature on optimum design of accelerated life tests in chronological order over the last six decades. Second, we present life time distributions with their mean lifetime or qth quantity and life stress relationship with their different factors level. We also present a flow chart outlining the process of accelerated life test planning. Further, we present the estimation methods commonly employed in the field of accelerated life testing, including least squares estimation, maximum likelihood estimation, graphical estimation, and Bayesian estimation. Finally, we provide an analytical discussion on accelerated life testing. This review aims to assist researchers, reliability engineers, and scientists in enhancing the design and planning of accelerated life tests.
},
 year = {2024}
}

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TY - JOUR
T1 - Methods of Optimal Accelerated Life Test Plans: A Review

AU - Jitendra Kumar
AU - Kaushal Kumar
AU - Nesar Ahmad
Y1 - 2024/12/09
PY - 2024
N1 - https://doi.org/10.11648/j.ajtas.20241306.14
DO - 10.11648/j.ajtas.20241306.14
T2 - American Journal of Theoretical and Applied Statistics
JF - American Journal of Theoretical and Applied Statistics
JO - American Journal of Theoretical and Applied Statistics
SP - 213
EP - 226
PB - Science Publishing Group
SN - 2326-9006
UR - https://doi.org/10.11648/j.ajtas.20241306.14
AB - Accelerated life tests (ALT) have been used as a powerful tool to obtain time based information on the life span or performance characteristics over time of the items. Tests are performed under higher stressed levels instead of under normal use constraints. Obtained information as tests results are used to make predictions about life span over time at the real use. Accelerated testing under different stresses continuously helps in improving product reliability and in formulating warranty policies. This paper aims to provide insight into the methods of optimal acceleration life test designs. We first present a review of literature on optimum design of accelerated life tests in chronological order over the last six decades. Second, we present life time distributions with their mean lifetime or qth quantity and life stress relationship with their different factors level. We also present a flow chart outlining the process of accelerated life test planning. Further, we present the estimation methods commonly employed in the field of accelerated life testing, including least squares estimation, maximum likelihood estimation, graphical estimation, and Bayesian estimation. Finally, we provide an analytical discussion on accelerated life testing. This review aims to assist researchers, reliability engineers, and scientists in enhancing the design and planning of accelerated life tests.

VL - 13
IS - 6
ER -

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Jitendra Kumar

University Department of Statistics & Computer Applications, Tilka Manjhi Bhagalpur University, Bhagalpur, India

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http://orcid.org/0000-0001-5667-3149
Kaushal Kumar

University Department of Statistics & Computer Applications, Tilka Manjhi Bhagalpur University, Bhagalpur, India

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http://orcid.org/0000-0002-1316-8473
Nesar Ahmad

University Department of Statistics & Computer Applications, Tilka Manjhi Bhagalpur University, Bhagalpur, India

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http://orcid.org/0000-0001-5852-2889

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Kumar, J., Kumar, K., Ahmad, N. (2024). Methods of Optimal Accelerated Life Test Plans: A Review. American Journal of Theoretical and Applied Statistics, 13(6), 213-226. https://doi.org/10.11648/j.ajtas.20241306.14

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Kumar, J.; Kumar, K.; Ahmad, N. Methods of Optimal Accelerated Life Test Plans: A Review. Am. J. Theor. Appl. Stat. 2024, 13(6), 213-226. doi: 10.11648/j.ajtas.20241306.14

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Kumar J, Kumar K, Ahmad N. Methods of Optimal Accelerated Life Test Plans: A Review. Am J Theor Appl Stat. 2024;13(6):213-226. doi: 10.11648/j.ajtas.20241306.14

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@article{10.11648/j.ajtas.20241306.14,
  author = {Jitendra Kumar and Kaushal Kumar and Nesar Ahmad},
  title = {Methods of Optimal Accelerated Life Test Plans: A Review
},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {13},
  number = {6},
  pages = {213-226},
  doi = {10.11648/j.ajtas.20241306.14},
  url = {https://doi.org/10.11648/j.ajtas.20241306.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20241306.14},
  abstract = {Accelerated life tests (ALT) have been used as a powerful tool to obtain time based information on the life span or performance characteristics over time of the items. Tests are performed under higher stressed levels instead of under normal use constraints. Obtained information as tests results are used to make predictions about life span over time at the real use. Accelerated testing under different stresses continuously helps in improving product reliability and in formulating warranty policies. This paper aims to provide insight into the methods of optimal acceleration life test designs. We first present a review of literature on optimum design of accelerated life tests in chronological order over the last six decades. Second, we present life time distributions with their mean lifetime or qth quantity and life stress relationship with their different factors level. We also present a flow chart outlining the process of accelerated life test planning. Further, we present the estimation methods commonly employed in the field of accelerated life testing, including least squares estimation, maximum likelihood estimation, graphical estimation, and Bayesian estimation. Finally, we provide an analytical discussion on accelerated life testing. This review aims to assist researchers, reliability engineers, and scientists in enhancing the design and planning of accelerated life tests.
},
 year = {2024}
}

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TY - JOUR
T1 - Methods of Optimal Accelerated Life Test Plans: A Review

VL - 13
IS - 6
ER -

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