Design of progressively censored group sampling plans for Weibull distributions: An optimization problem

Fernández, Arturo J.; Pérez-González, Carlos J.; Aslam, Muhammad; Jun, Chi‐Hyuck

doi:10.1016/j.ejor.2010.12.002

Cited by 40 publications

(13 citation statements)

References 24 publications

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“…Thus, the sample size will be taken to the least possible integer value of n satisfying Equations (11) and (12). Besides, it is worthy to note that the proposed resubmitted sampling plan will reduce to the variables single sampling plan based on the C pm index developed by Pearn and Wu [3] if m = 1.…”

Section: Developing a Resubmitted Sampling Scheme Based On The C Pm Imentioning

confidence: 99%

“…Email: cweiwu@ie.nthu.edu.tw the literature, a number of acceptance sampling plans have been developed for a wide variety of situations. Some recent references are Balamurali and Jun, [2] Pearn and Wu, [3] Chen et al, [4] Wu and Pearn, [5] Aslam et al, [6] Seo et al, [7] Liu and Wu, [8] Liu et al, [9] Negrin et al, [10,11] Fernández et al, [12] Wu [13] and Wu et al [14] In testing of certain products, the test procedures are not always accurate or obtaining a random sample is difficult. In such cases, resampling is always done.…”

Section: Introductionmentioning

confidence: 99%

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A flexible sampling scheme for variables inspection with loss consideration

Chen

2015

Journal of Statistical Computation and Simulation

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This article develops a variables sampling scheme for resubmitted lots by incorporating the concept of Taguchi loss function. The probability of lot acceptance is derived based on the exact sampling distribution and two-point condition on operating characteristic curve is used to determine the plan parameters that meet both the producer's and consumer's quality and risk requirements. Moreover, the performance of the proposed variables resubmitted sampling plan is investigated and compared with the classical variables single sampling plan. The results indicate that the developed resubmitted sampling plan can provide the same protection with less inspection when the submitted lot is good enough. Tables of the plan parameters under various conditions are provided and the use of the proposed plan is also illustrated with an example.

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Section: Developing a Resubmitted Sampling Scheme Based On The C Pm Imentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A flexible sampling scheme for variables inspection with loss consideration

Chen

2015

Journal of Statistical Computation and Simulation

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“…α β n k r k a n k r k a n k r k a n k r k a It can also be noted that if m approaches to infinity, the probability of acceptance of the proposed MDS plan π A C pk À Á will converge to P a C pk À Á , the probability of acceptance for the traditional variables single sampling plan. Based on Equations (10) and (11), there are four parameters, m, n, k a , and k r ; however, only m is given. Thus, using only Equations (10) and (11) to solve n, k a , and k r may lead to multiple solutions.…”

Section: Variables Multiple Dependent State Sampling Plan Based On Thmentioning

confidence: 99%

“…Based on Equations (10) and (11), there are four parameters, m, n, k a , and k r ; however, only m is given. Thus, using only Equations (10) and (11) to solve n, k a , and k r may lead to multiple solutions. It is desirable to have the minimal sample size required for inspection with the same protection to both the producer and the consumer.…”

Section: Variables Multiple Dependent State Sampling Plan Based On Thmentioning

confidence: 99%

A Novel Lot Sentencing Method by Variables Inspection Considering Multiple Dependent State

Lee

Chen

2015

Quality & Reliability Eng

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A good acceptance sampling plan is necessary for quality control, and different acceptance sampling plans have been developed to meet different purposes. Under a multiple dependent state (MDS) sampling plan, the lot disposition is not only based on the current sample from the lot but also on the sample results from preceding lots. This paper aims to develop a variables MDS sampling plan for normally distributed processes with two‐sided specification limits. In the proposed MDS sampling plan, the operating characteristic curve is derived based on the exact sampling distribution. The performance of the proposed plan is investigated and compared with the existing variables single sampling plan. Copyright © 2015 John Wiley & Sons, Ltd.

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“…Executing an inspection procedure for the batch, an inspector collects certain small amount of samples, compares the samples information with designated requirements, and estimates the overall batch quality. Based on the testing results, the inspector recommends accepting or rejecting the batch (Kurniati et al ., Fernández et al ., Liu et al ., Negrin et al ., Seo et al ., Wu et al ., Wu and Liu, Wu et al …”

Section: Introductionmentioning

confidence: 99%

A Situationally Sample‐Size‐Adjusted Sampling Scheme Based on Process Yield Verification

Shu

Liu

2016

Quality & Reliability Eng

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a This paper is motivated by Food Safety Modernization Act, signed into law by President Obama on Jan. 4, 2011, after several outbreaks of tainted foods have cost human health and contracted food-industry prosperity over the past decade. It develops a situationally sample-size-adjusted procedure, called a tightened-normal-tightened (TNT) sampling strategy, on the basis of yield-index (S pk ) verification of the production process, whose measurements, garnered from a key quality characteristic with bilateral specification limits, follow a normal distribution. In this paper, we firstly describe the sampling procedure of the S pk -TNT(n T , n N , k) inspection scheme whose sets of parameters include sample sizes for the tightened inspection (nT) and normal inspection (n N ), and the critical value (k). Those parameters are determined from the joint solution of two nonlinear inequalities complying with the tolerable vendor's risk, buyer's risk, the desired acceptable quality level (AQL) and limiting quality level (LQL). Then, the proposed S pk -TNT(n T , n N , k) schemes for several inspection standards, widely utilized in practice, are delineated, and their functioning behaviors and propensities are further investigated. Moreover, we compare the S pk -TNT(n T , n N , k) strategy with two unadjusted inspection schemes, S pk -tightened, S pk -T(n T , k), and S pk -normal, S pk -N(n N , k), to illustrate its inspection flexibility and efficiency in real applications. Finally, implementing with a vendorbuyer contract agreement using the S pk -TNT(n T , n N , k) sampling plan, a company inspecting the submitted universal-serialbus (USB) connectors demonstrates the applicability of our proposed methodologies.

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Design of progressively censored group sampling plans for Weibull distributions: An optimization problem

Cited by 40 publications

References 24 publications

A flexible sampling scheme for variables inspection with loss consideration

A flexible sampling scheme for variables inspection with loss consideration

A Novel Lot Sentencing Method by Variables Inspection Considering Multiple Dependent State

A Situationally Sample‐Size‐Adjusted Sampling Scheme Based on Process Yield Verification

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