Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution

Braimah Odunayo Joseph; Osanaiye Peter Asanaiye

doi:doi:10.11648/j.ajmse.20170205.12

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Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution

Braimah Odunayo Joseph, Osanaiye Peter Asanaiye

Published in American Journal of Management Science and Engineering (Volume 2, Issue 5)

Received: 20 March 2017 Accepted: 17 April 2017 Published: 23 October 2017

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Abstract

In this paper, an improved reliable acceptance sampling plan (Truncated hybrid Double Acceptance Sampling Plan (THDASP)) is proposed for products life that follows Weibull distribution when the testing is truncated at a specified time (t). This type of inspection sampling plan can be used to save the testing time in practical situations. The optimal sample sizes (n) required for testing product quality to ascertain a true mean life is obtained under a given Maximum Allowable Percent Defective (β), test termination ratios and acceptance numbers(C). The operating characteristic (OC) values formula is being developed considering both the Producer’s and Consumer’s risk and the values are generated. The Mean Life Ratios and curves of the plan are examined with varying ratio of the true mean life to the specified life. The advantage of this inspection plan is that could it results in better economic reliability product quality testing that protects the producer from rejecting his good lots and consumers from accepting bad lots of finished products. The mean life ratio values will also guides the producer on how to improve on his product’s quality. A numerical example is also discussed for illustrative purpose.

Published in	American Journal of Management Science and Engineering (Volume 2, Issue 5)
DOI	10.11648/j.ajmse.20170205.12
Page(s)	80-88
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), 2017. Published by Science Publishing Group

Keywords

Truncated, Acceptance Sampling, Reliability, Producer’s Risk, Consumer’s Risk, Mean Ratio, Operating Characteristics

References

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[7]	Braimah O. J, Osanaiye P. A and Edokpa I. W. (2016). Improved single truncated acceptance sampling plans for Weibull product life distributions.Journal of the National Association of Mathematical Physics, 38, pp. 451-460.
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APA Style

Braimah Odunayo Joseph, Osanaiye Peter Asanaiye. (2017). Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution. American Journal of Management Science and Engineering, 2(5), 80-88. https://doi.org/10.11648/j.ajmse.20170205.12

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ACS Style

Braimah Odunayo Joseph; Osanaiye Peter Asanaiye. Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution. Am. J. Manag. Sci. Eng. 2017, 2(5), 80-88. doi: 10.11648/j.ajmse.20170205.12

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AMA Style

Braimah Odunayo Joseph, Osanaiye Peter Asanaiye. Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution. Am J Manag Sci Eng. 2017;2(5):80-88. doi: 10.11648/j.ajmse.20170205.12

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@article{10.11648/j.ajmse.20170205.12,
  author = {Braimah Odunayo Joseph and Osanaiye Peter Asanaiye},
  title = {Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution},
  journal = {American Journal of Management Science and Engineering},
  volume = {2},
  number = {5},
  pages = {80-88},
  doi = {10.11648/j.ajmse.20170205.12},
  url = {https://doi.org/10.11648/j.ajmse.20170205.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmse.20170205.12},
  abstract = {In this paper, an improved reliable acceptance sampling plan (Truncated hybrid Double Acceptance Sampling Plan (THDASP)) is proposed for products life that follows Weibull distribution when the testing is truncated at a specified time (t). This type of inspection sampling plan can be used to save the testing time in practical situations. The optimal sample sizes (n) required for testing product quality to ascertain a true mean life is obtained under a given Maximum Allowable Percent Defective (β), test termination ratios and acceptance numbers(C). The operating characteristic (OC) values formula is being developed considering both the Producer’s and Consumer’s risk and the values are generated. The Mean Life Ratios and curves of the plan are examined with varying ratio of the true mean life to the specified life. The advantage of this inspection plan is that could it results in better economic reliability product quality testing that protects the producer from rejecting his good lots and consumers from accepting bad lots of finished products. The mean life ratio values will also guides the producer on how to improve on his product’s quality. A numerical example is also discussed for illustrative purpose.},
 year = {2017}
}

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TY  - JOUR
T1  - Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution
AU  - Braimah Odunayo Joseph
AU  - Osanaiye Peter Asanaiye
Y1  - 2017/10/23
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmse.20170205.12
DO  - 10.11648/j.ajmse.20170205.12
T2  - American Journal of Management Science and Engineering
JF  - American Journal of Management Science and Engineering
JO  - American Journal of Management Science and Engineering
SP  - 80
EP  - 88
PB  - Science Publishing Group
SN  - 2575-1379
UR  - https://doi.org/10.11648/j.ajmse.20170205.12
AB  - In this paper, an improved reliable acceptance sampling plan (Truncated hybrid Double Acceptance Sampling Plan (THDASP)) is proposed for products life that follows Weibull distribution when the testing is truncated at a specified time (t). This type of inspection sampling plan can be used to save the testing time in practical situations. The optimal sample sizes (n) required for testing product quality to ascertain a true mean life is obtained under a given Maximum Allowable Percent Defective (β), test termination ratios and acceptance numbers(C). The operating characteristic (OC) values formula is being developed considering both the Producer’s and Consumer’s risk and the values are generated. The Mean Life Ratios and curves of the plan are examined with varying ratio of the true mean life to the specified life. The advantage of this inspection plan is that could it results in better economic reliability product quality testing that protects the producer from rejecting his good lots and consumers from accepting bad lots of finished products. The mean life ratio values will also guides the producer on how to improve on his product’s quality. A numerical example is also discussed for illustrative purpose.
VL  - 2
IS  - 5
ER  -

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Author Information

Braimah Odunayo Joseph

Department of Mathematics, Ambrose Alli University, Ekpoma, Nigeria
Osanaiye Peter Asanaiye

Department of Statistics, University of Ilorin, Ilorin, Nigeria

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Plain Text BibTeX RIS

APA Style

Braimah Odunayo Joseph, Osanaiye Peter Asanaiye. (2017). Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution. American Journal of Management Science and Engineering, 2(5), 80-88. https://doi.org/10.11648/j.ajmse.20170205.12

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ACS Style

Braimah Odunayo Joseph; Osanaiye Peter Asanaiye. Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution. Am. J. Manag. Sci. Eng. 2017, 2(5), 80-88. doi: 10.11648/j.ajmse.20170205.12

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AMA Style

Braimah Odunayo Joseph, Osanaiye Peter Asanaiye. Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution. Am J Manag Sci Eng. 2017;2(5):80-88. doi: 10.11648/j.ajmse.20170205.12

Copy | Download

@article{10.11648/j.ajmse.20170205.12,
  author = {Braimah Odunayo Joseph and Osanaiye Peter Asanaiye},
  title = {Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution},
  journal = {American Journal of Management Science and Engineering},
  volume = {2},
  number = {5},
  pages = {80-88},
  doi = {10.11648/j.ajmse.20170205.12},
  url = {https://doi.org/10.11648/j.ajmse.20170205.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmse.20170205.12},
  abstract = {In this paper, an improved reliable acceptance sampling plan (Truncated hybrid Double Acceptance Sampling Plan (THDASP)) is proposed for products life that follows Weibull distribution when the testing is truncated at a specified time (t). This type of inspection sampling plan can be used to save the testing time in practical situations. The optimal sample sizes (n) required for testing product quality to ascertain a true mean life is obtained under a given Maximum Allowable Percent Defective (β), test termination ratios and acceptance numbers(C). The operating characteristic (OC) values formula is being developed considering both the Producer’s and Consumer’s risk and the values are generated. The Mean Life Ratios and curves of the plan are examined with varying ratio of the true mean life to the specified life. The advantage of this inspection plan is that could it results in better economic reliability product quality testing that protects the producer from rejecting his good lots and consumers from accepting bad lots of finished products. The mean life ratio values will also guides the producer on how to improve on his product’s quality. A numerical example is also discussed for illustrative purpose.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution
AU  - Braimah Odunayo Joseph
AU  - Osanaiye Peter Asanaiye
Y1  - 2017/10/23
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmse.20170205.12
DO  - 10.11648/j.ajmse.20170205.12
T2  - American Journal of Management Science and Engineering
JF  - American Journal of Management Science and Engineering
JO  - American Journal of Management Science and Engineering
SP  - 80
EP  - 88
PB  - Science Publishing Group
SN  - 2575-1379
UR  - https://doi.org/10.11648/j.ajmse.20170205.12
AB  - In this paper, an improved reliable acceptance sampling plan (Truncated hybrid Double Acceptance Sampling Plan (THDASP)) is proposed for products life that follows Weibull distribution when the testing is truncated at a specified time (t). This type of inspection sampling plan can be used to save the testing time in practical situations. The optimal sample sizes (n) required for testing product quality to ascertain a true mean life is obtained under a given Maximum Allowable Percent Defective (β), test termination ratios and acceptance numbers(C). The operating characteristic (OC) values formula is being developed considering both the Producer’s and Consumer’s risk and the values are generated. The Mean Life Ratios and curves of the plan are examined with varying ratio of the true mean life to the specified life. The advantage of this inspection plan is that could it results in better economic reliability product quality testing that protects the producer from rejecting his good lots and consumers from accepting bad lots of finished products. The mean life ratio values will also guides the producer on how to improve on his product’s quality. A numerical example is also discussed for illustrative purpose.
VL  - 2
IS  - 5
ER  -

Copy | Download