Acceptance Sampling Plans from Life Tests Based on Percentiles of Half Normal Distribution

Rao, B. Srinivasa; Kumar, Ch. Srinivasa; Rosaiah, K.

doi:10.1155/2013/302469

Cited by 5 publications

(3 citation statements)

References 15 publications

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“…Recently, Saleh et al 26 proposed that repetitive sampling methods can be useful, however, when monitoring with count data. More information on the use of control charts can be seen in Lee et al 21 , Tanveer et al 24 , Elal-Olivero et al 27 , Naveed et al 28 and Rao et al 29 , 30 .…”

Section: Introductionmentioning

confidence: 99%

Control charts using half-normal and half-exponential power distributions using repetitive sampling

Naveed,

Azam,

Khan

et al. 2024

Sci Rep

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This manuscript presents the development of an attribute control chart (ACC) designed to monitor the number of defective items in manufacturing processes. The charts are specifically tailored using time-truncated life test (TTLT) for two lifetime data distributions: the half-normal distribution (HND) and the half-exponential power distribution (HEPD) under a repetitive sampling scheme (RSS). To assess the effectiveness of the proposed control charts, both in-control (IC) and out-of-control (OOC) scenarios are considered by deriving the average run length (ARL). Various factors, including sample sizes, control coefficients, and truncated constants for shifted phases, are taken into account to evaluate the performance of the charts in terms of ARL. The behavior of ARLs is analyzed in the shifted process by introducing shifts in its parameters. The superiority of the HEPD-based chart is highlighted by comparing it with both the HND-based ACC and the ACC based on the Exponential distribution (ED) under TTLT using RSS. The results showcase the superior performance of the proposed HEPD-based chart, indicated by smaller ARL values. Additionally, the benefits of another proposed ACC using HND are compared with the ED-based ACC under RSS, further confirming the effectiveness of the HND-based approach through smaller ARLs Finally, the proposed control charts are evaluated through simulation testing and real-life implementation, emphasizing their practical applicability in real-world manufacturing settings.

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Section: Introductionmentioning

confidence: 99%

Control charts using half-normal and half-exponential power distributions using repetitive sampling

Naveed,

Azam,

Khan

et al. 2024

Sci Rep

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“…More recently, Ramaswamy and Anburajan (2012), Ramaswamy and Sutharani (2013), Rao et al (2013) and Rao et al (2014) proposed various acceptance sampling plans for a truncated life. As discussed earlier, acceptance sampling plans are helpful and lead to the final inference of the lot on the basis of random sampling, then two risks are involved with a sample.…”

Section: Introductionmentioning

confidence: 99%

Group Acceptance Sampling Plan for Re-Submitted Lots Under Generalized Pareto Distribution

Mughal¹,

Zain²,

Aziz³

2015

RJASET

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In this study, a Group Acceptance Sampling Plan (GASP) for lot resubmitting is developed for situations in which the lifetime of a product follows the generalized Pareto distribution. The design parameters such as minimum group size and acceptance number are observed when the consumer's risk, number of testers and the test termination time are pre-specified. The proposed plan requires less sample size than the ordinary GASP. The condition of lot re-sampling was examined and measurement of a resubmitted method having a GASP for inspection.

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“…Several authors developed the acceptance sampling plans based on percentile. ASPs from truncated life tests based on the log-logistic and inverse Rayleigh distributions, Marshall -Olkin extended Lomax distribution, Linear Failure Rate distribution, Half Normal distribution, Gompertz distribution for percentiles were developed by [15][16][17][18][19][20]. ASPs based on median life for Fréchet distribution was discussed by [21].…”

mentioning

confidence: 99%

Odd generalized exponential log logistic distribution: A new acceptance sampling plans based on percentiles

Rao¹,

Rosaiah²,

Sivakumar³

et al. 2019

IJAAS

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<span>In this paper, acceptance sampling plans are developed for the odd generalized exponential log logistic distribution based on percentiles when the life test is truncated at a pre-specified (pre-determined) time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given consumer’s risk. The operating characteristic values of the sampling plans as well as the producer’s risk are presented. One example with real data set is also given as an illustration.</span>

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Acceptance Sampling Plans from Life Tests Based on Percentiles of Half Normal Distribution

Cited by 5 publications

References 15 publications

Control charts using half-normal and half-exponential power distributions using repetitive sampling

Control charts using half-normal and half-exponential power distributions using repetitive sampling

Group Acceptance Sampling Plan for Re-Submitted Lots Under Generalized Pareto Distribution

Odd generalized exponential log logistic distribution: A new acceptance sampling plans based on percentiles

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