• Communications for Statistical Applications and Methods
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• 제8권2호
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• pp.383-394
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• 2001

This paper is a generalization of single and two-level skip-lot sampling plans to n-level. On every skipping inspection of the n-level skip-lot sampling plan, not only the number of consecutive lots to be accepted but also the fraction of lots to be inspected can be freely choosed. The general formulas of the operating characteristic function, average fraction inspected, average sample number and average outgoing quality in n-level skip-lot sampling plan are derived. The operating characteristic curves, average sample number and average outgoing quality of a reference plan, two-level and five-level skip-lot sampling plans are compared.

• Journal of the Korean Statistical Society
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• 제7권1호
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• pp.27-43
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• 1978

This paper deals with the problem of obtaining a minimum cost acceptance sampling plan for destructive testing. The cost model is constructed under the assumption that the sampling procedure takes the following form; 1) lots rejected on the first sample are acreened with a non-destructive testing, 2) the screening is assumed to be imperfect, and therefore, after the screening, a second sample is taken to determine whether to accept the lot of to scrap it. The usual sampling procedures for destructive testing can be regarded as special cases of the above one. Utilizing Hald's Bayesian approach, procedures for finding the global optimal sampling plans are given. However, when the lot size is large, the global plan is very different to obtain even with the aid of an electronic computer. Therefore a method of finding suboptimal plan is suggested. An example with uniform prior is also given.

• 응용통계연구
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• 제6권2호
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• pp.277-287
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• 1993

본 논문은, 품질이 좋은 제품일수록 검사비용을 줄여서 생산성을 높일 수 있도록, 1단계와 2 단계 스 로트 샘플링검사 계획을 n단계 스 로트 샘플링 검사 계획으로 일반화한 것이다. 이 다단계 스 로트 샘플링검사 계획에서는 매 검사단계마다 연속적으로 합격되어야 할 로 트의 수뿐만 아니라 구분의 크기까지를 자유롭게 택할 수 있게 되어있다. 또한 검사특성곡 선의 일반 형태를 도출하였고, 이를 이용하여 2단계 및 3단계 스 로트 샘플링검사 계획을 비교하였다.스 로트 샘플링검사 계획을 비교하였다. 비교하였다.

• 대한산업공학회지
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• 제25권1호
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• pp.8-20
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• 1999

In this paper, a design and estimation procedure for the stochastically dependent nonstationary multiple acceptance sampling plans is developed. At first, the rough-cut acceptance and rejection numbers are given as an initial solution from the corresponding sequential sampling plan. A Monte-Carlo algorithm is used to find the acceptance and rejection probabilities of a lot. The conditional probability formula for a sample path is found. The acceptance and rejection probabilities are found when a decision boundary is given. Several decision criteria and the design procedure to select optimal plans are suggested. The formula for measuring performance of these sampling plans is developed. Type I and II error probabilities are also estimated. As a special case, by setting the stage size as 1 in a dependent sampling plan, a sequential sampling plan satisfying type I and II error probabilities is more accurate and a smaller average sample number can be found. In a numerical example, a Polya dependent process is examined. The sampling performances are shown to compare the selection scheme and the effect of the change of the dependency factor.

• 품질경영학회지
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• 제21권1호
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• pp.35-43
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• 1993

The principal objective of a sampling plan is to make efficient use of the budget allocated and to obtain as precise an estimate of a population parameter as possible. In order to estimate the proportion of defectives produced or to determine some measure of product Quality, it is necessary to select random samples which represent a population parameter of the process. In this case, the two stage sampling is more efficient and convenient than simple random sampling. Therefore this paper aims to propose the design procedures of two stage sampling plan to obtain a representative samples in considering the sampling precision under the restricted sampling unspection cost.

• 대한산업공학회지
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• 제3권2호
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• pp.99-106
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• 1977

A double sampling procedure with zero acceptance number for the first sample whose operating characteristic closely matches that of a given single sampling plan and whose combined sample size does not exceed that of the given single sampling plan is proposed. The proposed double sampling plans corresponding to the MIL-STD-105D plans are tabulated and it is found that their ASN's are considerably smaller than those of corresponding MIL-STD-105D single or double sampling plans.

• 한국신뢰성학회지:신뢰성응용연구
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• 제18권2호
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• pp.122-129
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• 2018

Purpose: This article develops an optimal reliability acceptance sampling plan for the case where the degradation quantity of the performance characteristic follows Weibull distribution. Method: For developing reliability acceptance sampling plans, the sample size and the acceptance constant are determined based on the accelerated characteristic of the test condition and the product. Results: The sample size and the acceptance constant are provided such that the constraints of the producer and the consumer risks are satisfied. Conclusion: Reliability acceptance sampling plans based on the accelerated degradation test method can be used for the quality control within a resonable amount of cost and time. In this article. an optimal reliability sampling plans are newly developed for this purpose.

• 대한안전경영과학회지
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• 제9권4호
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• pp.137-142
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• 2007

This paper is to introduce attribute acceptance sampling plan based on statistical inference of binomial proportions such as PPM or PPB. In addition, this paper presents three variable sampling acceptance sampling plans based on $C_{pm},\;C_{pmk}$, and Taguchi's loss function. Producers are able to consider as not only external vendors but also internal customers.

• 응용통계연구
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• 제8권2호
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• pp.55-64
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• 1995

다단계 스킵-로트 샘플링 검사계획(Choi, 1993)을 수정하여, 1단에 정규검사 2단에 단지(段地, terrace)검사를 둔 2단으로 분할된 스킵-로트 샘플링 검사계획을 설계하였다 스킵-로트 샘플링 검사계획은 제품의 품질이 우수할 경우에는 더 높은 단계의 검사를 수행하고, 그렇지 않을 경우에는 곧 바로 정규검사 또는 단지검사로 되돌아가도록 되어 있다. 마코프 연쇄를 이용하여 분할된 3단계의 샘플링 검사계획의 검사특성곡선을 도출하여 그 성질을 규명하고, Choi의 샘플링 검사계획과도 비교하였다.

• 품질경영학회지
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• 제26권4호
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• pp.79-87
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• 1998

This paper considers the problem of testing a one-sided hypothesis under the generalized sampling plan which is defined by a sequence of independent Bernoulli trials. A certain lexicographic order is defined for the boundary points of the sampling plan. It is shown that the family of probability mass function defined on the boundary points has monotone likelihood ratio, and that the test function is uniformly most powerful.