scholarly journals Design of Fuzzy Sampling Plan Using the Birnbaum-Saunders Distribution

Mathematics ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 9 ◽  
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.

scholarly journals Economic Design of Acceptance Sampling Plans for Truncated Life Tests Using Three-Parameter Lindley Distribution

2020 ◽  
Vol 18 (2) ◽  
pp. 2-15 ◽  
Author(s):  
Amer Ibrahim Al-Omari ◽  
Enrico Ciavolino ◽  
Amjad D. Al-Nasser
Keyword(s):  
Operating Characteristic ◽  
Average Lifetime ◽  
Acceptance Sampling ◽  
Sampling Plans ◽  
Lindley Distribution ◽  
Confidence Levels ◽  
Acceptance Sampling Plan ◽  
Acceptance Sampling Plans ◽  
Truncated Life Test ◽  
Life Tests

A single acceptance sampling plan for the three-parameter Lindley distribution under a truncated life test is developed. For various consumer’s confidence levels, acceptance numbers, and values of the ratio of the experimental time to the specified average lifetime, the minimum sample size important to assert a certain average lifetime are calculated. The operating characteristic (OC) function values as well as the associated producer’s risks are also provided. A numerical example is presented to illustrate the suggested acceptance sampling plans.

New Acceptance Sampling Plans Based on Percentiles for Exponentiated Fréchet Distribution

2016 ◽  
Vol 31 (1) ◽  
Author(s):  
Gadde Srinivasa Rao ◽  
Kanaparthi Rosaiah ◽  
Mothukuri Sridhar Babu ◽  
Devireddy Charanaudaya Sivakumar
Keyword(s):  
Operating Characteristic ◽  
Real Data ◽  
Acceptance Sampling ◽  
Producer’S Risk ◽  
Data Set ◽  
Sampling Plans ◽  
Fréchet Distribution ◽  
Acceptance Sampling Plans ◽  
Characteristic Values ◽  
Frechet Distribution

AbstractIn this article, acceptance sampling plans are developed for the exponentiated Fréchet distribution based on percentiles when the life test is truncated at a pre-specified time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given customer's risk and producer's risk simultaneously. The operating characteristic values of the sampling plans are presented. One example with real data set is also given as an illustration.

scholarly journals Design of a New Synthetic Acceptance Sampling Plan

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 653 ◽  
Author(s):  
Saeed Dobbah ◽  
Muhammad Aslam ◽  
Khushnoor Khan
Keyword(s):  
Standard Deviation ◽  
Normal Distribution ◽  
Operating Characteristic ◽  
Linear Optimization ◽  
Sampling Plan ◽  
Quality Characteristic ◽  
Acceptance Sampling ◽  
Acceptance Sampling Plan ◽  
Non Linear

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.

scholarly journals Acceptance Sampling Plans for Finite and Infinite Lot Size under Power Lindley Distribution

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 496
Author(s):  
Saman Shahbaz ◽  
Khushnoor Khan ◽  
Muhammad Shahbaz
Keyword(s):  
Operating Characteristic ◽  
Acceptance Sampling ◽  
Lot Size ◽  
Characteristic Curves ◽  
Sampling Plans ◽  
Lindley Distribution ◽  
Product Life ◽  
Power Lindley Distribution ◽  
Acceptance Sampling Plans ◽  
Lot Sizes

In this paper, we have developed single and double acceptance sampling plans when the product life length follows the power Lindley distribution. The sampling plans have been developed by assuming infinite and finite lot sizes. We have obtained the operating characteristic curves for the resultant sampling plans. The sampling plans have been obtained for various values of the parameters. It has been found that for a finite lot size, the sampling plans provide smaller values of the parameters to achieve the specified acceptance probabilities.

scholarly journals Acceptance Sampling Plans Based on Truncated Life Tests for Gompertz Distribution

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Wenhao Gui ◽  
Shangli Zhang
Keyword(s):  
Sampling Plan ◽  
Acceptance Sampling ◽  
Gompertz Distribution ◽  
Confidence Levels ◽  
Acceptance Sampling Plan ◽  
Operating Characteristic Function ◽  
Acceptance Sampling Plans ◽  
Mean Lifetime ◽  
Truncated Life Test ◽  
Life Tests

An acceptance sampling plan for Gompertz distribution under a truncated life test is developed. For different acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample sizes required to ensure the specified mean lifetime are obtained. The operating characteristic function values and the associated producer’s risks are also presented. An example is provided to illustrate the acceptance sampling plan.

scholarly journals Economic Design of Acceptance Sampling Plans in a Two-Stage Supply Chain

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Lie-Fern Hsu ◽  
Jia-Tzer Hsu
Keyword(s):  
Supply Chain ◽  
Computer Software ◽  
Sampling Plan ◽  
Acceptance Sampling ◽  
Optimal Sampling ◽  
Total Quality ◽  
Two Stage ◽  
Quality Cost ◽  
Acceptance Sampling Plan ◽  
Acceptance Sampling Plans

Supply Chain Management, which is concerned with material and information flows between facilities and the final customers, has been considered the most popular operations strategy for improving organizational competitiveness nowadays. With the advanced development of computer technology, it is getting easier to derive an acceptance sampling plan satisfying both the producer's and consumer's quality and risk requirements. However, all the available QC tables and computer software determine the sampling plan on a noneconomic basis. In this paper, we design an economic model to determine the optimal sampling plan in a two-stage supply chain that minimizes the producer's and the consumer's total quality cost while satisfying both the producer's and consumer's quality and risk requirements. Numerical examples show that the optimal sampling plan is quite sensitive to the producer's product quality. The product's inspection, internal failure, and postsale failure costs also have an effect on the optimal sampling plan.

scholarly journals A Research Algorithm to Sentence the Lots for Costly or Destructive Products in Mixed Quality Characteristics

2019 ◽  
Vol 8 (6S4) ◽  
pp. 850-853
Keyword(s):  
Characteristic Function ◽  
Operating Procedure ◽  
Operating Characteristic ◽  
Quality Characteristics ◽  
Acceptance Sampling ◽  
Sampling Plans ◽  
Operating Characteristic Function ◽  
Acceptance Sampling Plans ◽  
Standard Quality ◽  
Selection Of

This paper deals with the new operating procedure of Acceptance Sampling Plans for costly or destructive products when the incoming lots have mixed quality characteristics. The Operating Characteristic function and other associated measures of the plan are derived and provided. The procedure is given and designing of sampling plan are indexed through standard quality levels. Tables are constructed for easy selection of the plan.Illustrations are also provided.

Design of single and double acceptance sampling plans based on neutrosophic sets

2021 ◽  
pp. 1-18
Author(s):  
Gürkan Işik ◽  
İhsan Kaya
Keyword(s):  
Fuzzy Set ◽  
Acceptance Sampling ◽  
Good Representation ◽  
Neutrosophic Sets ◽  
Defective Items ◽  
Sample Number ◽  
Sampling Plans ◽  
Acceptance Sampling Plans ◽  
Different Sources ◽  
Average Sample

Although traditional acceptance sampling plans (ASPs) need certain mass quality characteristics, it is not easy to define them as crisp value in some real case problems. The fuzzy set theory (FST) is one of the popular techniques to model uncertainties of the process and therefore fuzzy ASPs have been offered in the literature. Fuzzy set extensions have been proposed recently for better modeling of the uncertainties having different sources and characteristics. One of these extensions named neutrosophic sets (NSs) can be used to increase the sensitiveness and flexibility of ASPs. The ASPs based on NSs can give ability to classify the items as defective, non-defective and indeterminate. Since the operator can become indecisive for slightly defective items, these plans can provide a good representation of human evaluations under uncertainty. In this study, single and double ASPs are designed based on NSs by using binomial and poisson distributions that are also re-analyzed based on NSs. For this aim, some characteristics functions of ASPs such as probability of accepting a lot (Pa), average outgoing quality (AOQ), average total inspection (ATI) and average sample number (ASN) have also been analyzed based on NSs. Numerical examples are presented to analyze the proposed plans.

scholarly journals Design of Sampling Plan Using Regression Estimator under Indeterminacy

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 754 ◽  
Author(s):  
Muhammad Aslam ◽  
Ali AL-Marshadi
Keyword(s):  
Auxiliary Information ◽  
Sampling Plan ◽  
Acceptance Sampling ◽  
Regression Estimator ◽  
Sampling Plans ◽  
Classical Statistics ◽  
Acceptance Sampling Plans ◽  
Neutrosophic Statistics ◽  
Lot Sentencing

The acceptance sampling plans are one of the most important tools for the inspection of a lot of products. Sometimes, it is difficult to study the variable of interest, and some additional or auxiliary information which is correlated to that variable is available. The existing sampling plans having auxiliary information are applied when the full, precise, determinate and clear data is available for lot sentencing. Neutrosophic statistics, which is the extension of classical statistics, can be applied when information about the quality of interest or auxiliary information is unclear and indeterminate. In this paper, we will introduce a neutrosophic regression estimator. We will design a new sampling plan using the neutrosophic regression estimator. The neutrosophic parameters of the proposed plan will be determined through the neutrosophic optimization solution. The efficiency of the proposed plan is discussed. The results of the proposed plan will be explained using real industrial data. From the comparison, it is concluded that the proposed sampling plan is more effective and adequate for the inspection of a lot than the existing plan, under the conditions of uncertainty.

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