Optimal Bayesian sampling acceptance plan with random censoring

Chen, Jianwei; Choy, S. T. Boris; Li, Kim-Hung

doi:10.1016/s0377-2217(02)00889-5

Cited by 37 publications

(15 citation statements)

References 8 publications

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“…Following the papers by Lam (1990Lam ( , 1994 and Chen et al (2004), we assume that u(k) is of order k = 2. We choose this value of k because a quadratic polynomial can provide an acceptable approximation to the true after-sales cost when the cost is not too non-linear, and, on the other hand, it makes the finding of T for the single sampling plan in (2.4), and T 2 for the double sampling plan in (3.3), easy.…”

Section: An Examplementioning

confidence: 99%

“…Among these are Guenther et al (1976), Engelhardt and Bain (1978), Kocherlakota and Balakrishnan (1986), Lam (1990Lam ( , 1994, Lin et al (2002) and Huang and Lin (2002). Using the Bayesian approach, Lam (1990Lam ( , 1994, Lam and Choy (1995) and Chen et al (2004) considered exponentially distributed lifetime with Type II, Type I and random censoring respectively. They used a polynomial loss function.…”

Section: Introductionmentioning

confidence: 99%

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Bayesian single and double variable sampling plans for the Weibull distribution with censoring

Chen

Lam

2007

European Journal of Operational Research

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Section: An Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bayesian single and double variable sampling plans for the Weibull distribution with censoring

Chen

Lam

2007

European Journal of Operational Research

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“…The polynomial loss function has been widely used as an approximation of an exact cost function when a batch is accepted. See Lam [14,15] and Chen, Choy, and Li [3] for details. The polynomial decision loss function can be defined as…”

Section: The Exponential Distribution Casementioning

confidence: 99%

“…The sampling plan is a triple (n, t, T) where t is the censoring time. This problem was reconsidered by Chen, Choy, and Li [3] with random censoring and the corresponding sampling plan reduces to (n, T). An optimal Bayes rule for a single variable acceptance sampling plan with exponentially distributed random censoring was developed.…”

Section: Introductionmentioning

confidence: 99%

Designing acceptance sampling schemes for life testing with mixed censoring

Chen

Chou

et al. 2004

Naval Research Logistics

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Mixed censoring is useful extension of Type I and Type II censoring and combines some advantages of both types of censoring. This paper proposes a general Bayesian framework for designing a variable acceptance sampling scheme with mixed censoring. A general loss function which includes the sampling cost, the time-consuming cost, the salvage value, and the decision loss is employed to determine the Bayes risk and the corresponding optimal sampling plan. An explicit expression of the Bayes risk is derived. The new model can easily be adapted to create life testing models for different distributions. Specifically, two commonly used distributions including the exponential distribution and the Weibull distribution are considered with a special decision loss function. We demonstrate that the proposed model is superior to models with Type I or Type II censoring. Numerical examples are reported to illustrate the effectiveness of the method proposed.

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“…A RASP under different censoring schemes like Type-I, Type-II, progressive censoring, etc., is discussed by various authors in the literature. For example, Schneider (1989), Lam (1994), , Balasooriya and Balakrishnan (2000), Balakrishnana et al (2007), Balasooriya and Saw (1998), Huang and Wu (2008), Tsai et al (2008), Fernández and Pérez-González (2012), Chen et al (2004b), Wu and Huang (2012), Seidel (1997), Chen et al (2004a), Rastogi and Tripathi (2013), etc. In the present work, we discuss the design of a RASP under hybrid censoring.…”

Section: Introductionmentioning

confidence: 99%