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  • Open Access

    ARTICLE

    Designing Bayesian Two-Sided Group Chain Sampling Plan for Gamma Prior Distribution

    Waqar Hafeez1, Nazrina Aziz1,2,*

    Computer Systems Science and Engineering, Vol.44, No.2, pp. 1069-1079, 2023, DOI:10.32604/csse.2023.022047

    Abstract Acceptance sampling is used to decide either the whole lot will be accepted or rejected, based on inspection of randomly sampled items from the same lot. As an alternative to traditional sampling plans, it is possible to use Bayesian approaches using previous knowledge on process variation. This study presents a Bayesian two-sided group chain sampling plan (BTSGChSP) by using various combinations of design parameters. In BTSGChSP, inspection is based on preceding as well as succeeding lots. Poisson function is used to derive the probability of lot acceptance based on defective and non-defective products. Gamma distribution is considered as a suitable… More >

  • Open Access

    ARTICLE

    Bayesian Group Chain Sampling Plan for Poisson Distribution with Gamma Prior

    Waqar Hafeez1, Nazrina Aziz1,2,*, Zakiyah Zain1,2, Nur Azulia Kamarudin1

    CMC-Computers, Materials & Continua, Vol.70, No.2, pp. 3891-3902, 2022, DOI:10.32604/cmc.2022.019695

    Abstract Acceptance sampling is a statistical quality control technique that consists of procedures for sentencing one or more incoming lots of finished products. Acceptance or rejection is based on the inspection of sampled products drawn randomly from the lot. The theory of previous acceptance sampling was built upon the assumption that the process from which the lots are produced is stable and the process fraction nonconforming is a constant. Process variability is inevitable due to random fluctuations, which may inadvertently lead to quality variation. As an alternative to traditional sampling plans, Bayesian approach can be used by considering prior information of… More >

  • Open Access

    ARTICLE

    Power Inverted Topp–Leone Distribution in Acceptance Sampling Plans

    Tahani A. Abushal1, Amal S. Hassan2, Ahmed R. El-Saeed3, Said G. Nassr4,*

    CMC-Computers, Materials & Continua, Vol.67, No.1, pp. 991-1011, 2021, DOI:10.32604/cmc.2021.014620

    Abstract We introduce a new two-parameter model related to the inverted Topp–Leone distribution called the power inverted Topp–Leone (PITL) distribution. Major properties of the PITL distribution are stated; including; quantile measures, moments, moment generating function, probability weighted moments, Bonferroni and Lorenz curve, stochastic ordering, incomplete moments, residual life function, and entropy measure. Acceptance sampling plans are developed for the PITL distribution, when the life test is truncated at a pre-specified time. The truncation time is assumed to be the median lifetime of the PITL distribution with pre-specified factors. The minimum sample size necessary to ensure the specified life test is obtained… More >

  • Open Access

    ARTICLE

    Acceptance Sampling Plans with Truncated Life Tests for the Length-Biased Weighted Lomax Distribution

    Amer Ibrahim Al-Omari1,*, Ibrahim M. Almanjahie2,3, Olena Kravchuk4

    CMC-Computers, Materials & Continua, Vol.67, No.1, pp. 285-301, 2021, DOI:10.32604/cmc.2021.014537

    Abstract In this paper, we considered the Length-biased weighted Lomax distribution and constructed new acceptance sampling plans (ASPs) where the life test is assumed to be truncated at a pre-assigned time. For the new suggested ASPs, the tables of the minimum samples sizes needed to assert a specific mean life of the test units are obtained. In addition, the values of the corresponding operating characteristic function and the associated producer’s risks are calculated. Analyses of two real data sets are presented to investigate the applicability of the proposed acceptance sampling plans; one data set contains the first failure of 20 small… More >

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