TY - JOUR
T1 - Variables acceptance reliability sampling plan for items subject to inverse Gaussian degradation process
AU - Cha, Ji Hwan
AU - Badía, F. G.
N1 - Funding Information:
The work of the first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2019R1A2B5B02069500). The work of the first author was also supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (grant number 2019R1A6A1A11051177). The work of the second author has been supported by the Spanish government research projects MTM2015-63978 (MINECO-FEDER) and PGC2018-094964-B-100 (MINECO-FEDER). The authors would like to thank the Associate Editor and reviewers for helpful and constructive comments, which have improved the presentation of this paper greatly.
Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2021
Y1 - 2021
N2 - Until now, in the literature, a variety of acceptance reliability sampling plans have been developed based on different life test plans. In most of the reliability sampling plans, the decision procedures to accept or reject the corresponding lot are developed based on the lifetimes of the items observed on tests, or the number of failures observed during a pre-specified testing time. However, frequently, the items are subject to degradation phenomena and, in these cases, the observed degradation level of the item can be used as a decision statistic. In this paper, we develop a variables acceptance sampling plan based on the information on the degradation process of the items, assuming that the degradation process follows the inverse Gaussian process. It is shown that the developed sampling plan improves the reliability performance of the items conditional on the acceptance in the test and that the lifetimes of items after the reliability sampling test are stochastically larger than those before the test. A study comparing the proposed degradation-based sampling plan with the conventional sampling plan which is based on a life test is also performed.
AB - Until now, in the literature, a variety of acceptance reliability sampling plans have been developed based on different life test plans. In most of the reliability sampling plans, the decision procedures to accept or reject the corresponding lot are developed based on the lifetimes of the items observed on tests, or the number of failures observed during a pre-specified testing time. However, frequently, the items are subject to degradation phenomena and, in these cases, the observed degradation level of the item can be used as a decision statistic. In this paper, we develop a variables acceptance sampling plan based on the information on the degradation process of the items, assuming that the degradation process follows the inverse Gaussian process. It is shown that the developed sampling plan improves the reliability performance of the items conditional on the acceptance in the test and that the lifetimes of items after the reliability sampling test are stochastically larger than those before the test. A study comparing the proposed degradation-based sampling plan with the conventional sampling plan which is based on a life test is also performed.
KW - Variables sampling plan
KW - degradation test
KW - inverse Gaussian process
KW - mixture distribution
KW - stochastic ordering
UR - http://www.scopus.com/inward/record.url?scp=85079218229&partnerID=8YFLogxK
U2 - 10.1080/02664763.2020.1723505
DO - 10.1080/02664763.2020.1723505
M3 - Article
AN - SCOPUS:85079218229
SN - 0266-4763
VL - 48
SP - 393
EP - 409
JO - Journal of Applied Statistics
JF - Journal of Applied Statistics
IS - 3
ER -