Design of a New Synthetic Acceptance Sampling Plan

In this paper, we propose a new synthetic sampling plan assuming that the quality characteristic follows the normal distribution with known and unknown standard deviation. The proposed plan is given and the operating characteristic (OC) function is derived to measure the performance of the proposed sampling plan for some fixed parameters. The parameters of the proposed sampling plan are determined using non-linear optimization solution. A real example is added to explain the use of the proposed plan by industry.

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Double Acceptance Sampling Plan for Time-Truncated Life Tests Based on Half Normal Distribution

Economic Quality Control ◽

10.1515/eqc-2016-0004 ◽

2016 ◽

Vol 31 (2) ◽

Author(s):

Amer I. Al-Omari ◽

Amjad D. Al-Nasser ◽

Fatima Salem Gogah

Keyword(s):

Normal Distribution ◽

Confidence Level ◽

Operating Characteristic ◽

Sampling Plan ◽

Acceptance Sampling ◽

Numerical Example ◽

Acceptance Sampling Plan ◽

Life Tests ◽

Characteristic Values ◽

The Mean

AbstractIn this work, we investigate a double acceptance sampling plan (DASP) based on truncated life tests when the lifetime of a product follows the half normal distribution. By fixing the consumer’s confidence level, the minimum sample sizes of the first and second samples needful to assert the specified mean life are calculated. The operating characteristic values and the minimum ratios of the mean life to the specified life are also analyzed. Several important tables are provided and a numerical example is given to illustrate the results.

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Studying the Effect of the Parameters of an Attribute Acceptance Sampling Plan on its Operating Characteristic Curve: A Visual Approach

Journal of Statistics Education ◽

10.1080/10691898.2003.11910724 ◽

2003 ◽

Vol 11 (3) ◽

Cited By ~ 1

Author(s):

Steve H. K. Ng

Keyword(s):

Operating Characteristic ◽

Characteristic Curve ◽

Sampling Plan ◽

Acceptance Sampling ◽

Acceptance Sampling Plan ◽

Visual Approach ◽

Operating Characteristic Curve

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A Variable Acceptance Sampling Plan under Neutrosophic Statistical Interval Method

Symmetry ◽

10.3390/sym11010114 ◽

2019 ◽

Vol 11 (1) ◽

pp. 114 ◽

Cited By ~ 1

Author(s):

Muhammad Aslam

Keyword(s):

Operating Characteristic ◽

Fuzzy Variable ◽

Sampling Plan ◽

Acceptance Sampling ◽

Interval Method ◽

Acceptance Sampling Plan ◽

Variable Sampling ◽

Classical Statistics ◽

Neutrosophic Statistics

The acceptance sampling plan plays an important role in maintaining the high quality of a product. The variable control chart, using classical statistics, helps in making acceptance or rejection decisions about the submitted lot of the product. Furthermore, the sampling plan, using classical statistics, assumes the complete or determinate information available about a lot of product. However, in some situations, data may be ambiguous, vague, imprecise, and incomplete or indeterminate. In this case, the use of neutrosophic statistics can be applied to guide the experimenters. In this paper, we originally proposed a new variable sampling plan using the neutrosophic interval statistical method. The neutrosophic operating characteristic (NOC) is derived using the neutrosophic normal distribution. The optimization solution is also presented for the proposed plan under the neutrosophic interval method. The effectiveness of the proposed plan is compared with the plan under classical statistics. The tables are presented for practical use and a real example is given to explain the neutrosophic fuzzy variable sampling plan in the industry.

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On the Exponentiated Generalized Inverse Rayleigh Distribution Based on Truncated Life Tests in a Double Acceptance Sampling Plan

Stochastics and Quality Control ◽

10.1515/eqc-2017-0007 ◽

2017 ◽

Vol 32 (1) ◽

Cited By ~ 3

Author(s):

Amer I. Al-Omari ◽

Amjad D. Al-Nasser ◽

Fatima Gogah ◽

Muhammad A. Haq

Keyword(s):

Confidence Level ◽

Operating Characteristic ◽

Generalized Inverse ◽

Rayleigh Distribution ◽

Sampling Plan ◽

Acceptance Sampling ◽

Acceptance Sampling Plan ◽

Life Tests ◽

Characteristic Values ◽

The Mean

AbstractA double acceptance sampling plan (DASP) based on truncated life tests is suggested in this paper when the lifetime of a product follows the exponentiated generalized inverse Rayleigh distribution (EGIR). For a fixed value of the consumer’s confidence level, the minimum sample sizes of the first and second samples needed to ensure the specified mean life are obtained. The operating characteristic values according to the different quality levels are obtained and the minimum ratios of the mean life to the specified life are calculated. The important tables based on the suggested DASP are calculated and illustrated.

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Design of Fuzzy Sampling Plan Using the Birnbaum-Saunders Distribution

Mathematics ◽

10.3390/math7010009 ◽

2018 ◽

Vol 7 (1) ◽

pp. 9 ◽

Cited By ~ 2

Author(s):

Muhammad Zahir Khan ◽

Muhammad Farid Khan ◽

Muhammad Aslam ◽

Abdur Razzaque Mughal

Keyword(s):

Operating Characteristic ◽

Real Life ◽

Sampling Plan ◽

Acceptance Sampling ◽

Acceptance Probability ◽

Defective Items ◽

Sampling Plans ◽

Fuzzy Environment ◽

Acceptance Sampling Plan ◽

Acceptance Sampling Plans

Acceptance sampling is one of the essential areas of quality control. In a conventional environment, probability theory is used to study acceptance sampling plans. In some situations, it is not possible to apply conventional techniques due to vagueness in the values emerging from the complexities of processor measurement methods. There are two types of acceptance sampling plans: attribute and variable. One of the important elements in attribute acceptance sampling is the proportion of defective items. In some situations, this proportion is not a precise value, but vague. In this case, it is suitable to apply flexible techniques to study the fuzzy proportion. Fuzzy set theory is used to investigate such concepts. It is observed there is no research available to apply Birnbaum-Saunders distribution in fuzzy acceptance sampling. In this article, it is assumed that the proportion of defective items is fuzzy and follows the Birnbaum-Saunders distribution. A single acceptance sampling plan, based on binomial distribution, is used to design the fuzzy operating characteristic (FOC) curve. Results are illustrated with examples. One real-life example is also presented in the article. The results show the behavior of curves with different combinations of parameters of Birnbaum-Saunders distribution. The novelty of this study is to use the probability distribution function of Birnbaum-Saunders distribution as a proportion of defective items and find the acceptance probability in a fuzzy environment. This is an application of Birnbaum-Saunders distribution in fuzzy acceptance sampling.

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Development of Reliability Acceptance Sampling Plan for the Case where the Degradation Quantity of the Performance Characteristic Follows Weibull Distribution based on the Accelerated Degradation Test

Journal of Applied Reliability ◽

10.33162/jar.2018.06.18.2.122 ◽

2018 ◽

Vol 18 (2) ◽

pp. 122-129

Author(s):

Heonsang Lim ◽

Jaehun Park ◽

Si-Il Sung

Keyword(s):

Weibull Distribution ◽

Performance Characteristic ◽

Sampling Plan ◽

Acceptance Sampling ◽

Accelerated Degradation ◽

Acceptance Sampling Plan ◽

Degradation Test ◽

Accelerated Degradation Test

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Group acceptance sampling plan for resubmitted lots based on life tests for odds exponential log logistic distribution

International Journal of Quality & Reliability Management ◽

10.1108/ijqrm-01-2016-0013 ◽

2017 ◽

Vol 34 (8) ◽

pp. 1343-1351 ◽

Cited By ~ 2

Author(s):

Rosaiah K. ◽

Srinivasa Rao Gadde ◽

Kalyani K. ◽

Sivakumar D.C.U.

Keyword(s):

Group Size ◽

Sampling Plan ◽

Logistic Distribution ◽

Acceptance Sampling ◽

Consumer’S Risk ◽

Content Type ◽

Acceptance Sampling Plan ◽

Minimum Group ◽

Termination Time ◽

Group Acceptance

Purpose The purpose of this paper is to develop a group acceptance sampling plan (GASP) for a resubmitted lot when the lifetime of a product follows odds exponential log logistic distribution introduced by Rao and Rao (2014). The parameters of the proposed plan such as minimum group size and acceptance number are determined for a pre-specified consumer’s risk, number of testers and the test termination time. The authors compare the proposed plan with the ordinary GASP, and the results are illustrated with live data example. Design/methodology/approach The parameters of the proposed plan such as minimum group size and acceptance number are determined for a pre-specified consumer’s risk, number of testers and the test termination time. Findings The authors determined the group size and acceptance number. Research limitations/implications No specific limitations. Practical implications This methodology can be applicable in industry to study quality control. Social implications This methodology can be applicable in health study. Originality/value The parameters of the proposed plan such as minimum group size and acceptance number are determined for a pre-specified consumer’s risk, number of testers and the test termination time.

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