A resubmitted sampling scheme by variables inspection for controlling lot fraction nonconforming

Liu, Shih‐Wen; Lin, Shi‐Woei; Wu, Chien‐Wei

doi:10.1080/00207543.2014.886028

Cited by 71 publications

(13 citation statements)

References 15 publications

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“…Thus, a designed sampling plan should be made to satisfy these somewhat opposing requirements. It is common to use the AQL (acceptable quality level) and LTPD (lot tolerance percent defective) points on the OC curve to achieve this purpose (see Wu 2012;Liu, Lin, and Wu 2014). This implies that the probability of acceptance must be greater than 1 À a if the quality level of the submitted lot is at C pmk ¼ C AQL (in high quality).…”

Section: Developing a Variables Rgs Plan Based On The C Pmk Indexmentioning

confidence: 98%

Developing a variables repetitive group sampling scheme by considering process yield and quality loss

Chen

2014

International Journal of Production Research

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Acceptance sampling is a useful tool for determining whether submitted lots should be accepted or rejected. With the current increase in outsourcing production processes and the high-quality levels required, it is very desirable to have an efficient and economic sampling scheme. This paper develops a variables repetitive group sampling (RGS) plan that accounts for the process yield (meeting the manufacturing specifications) and the quality loss (variation from the target). The plan parameters are determined by solving a nonlinear optimisation problem. This implies that the plan parameters minimise the average sample number required for inspection and fulfil the classical two-point conditions on the operating characteristic (OC) curve. Besides, this paper investigates the efficiency of the proposed plan and compares it with the existing variables single sampling plan. Tables of the plan parameters for the proposed variables RGS plan are provided and an application example is presented for illustration. IntroductionAcceptance sampling is one of the most practical tools in classical quality control and assurance applications, which deal with quality contracts for product orders between factories and their customers. Acceptance sampling plans provide the producer and the consumer with a general criterion for lot sentencing. A well-designed sampling plan can substantially reduce the difference between the required and the actual supplied product quality Wu 2006, 2007). Unfortunately, it cannot avoid the risk of accepting unwanted poor product lots, nor can it avoid the risk of rejecting good product lots without implementing 100% inspection (e.g. Montgomery 2009). The criteria used to measure the performance in an acceptance sampling plan are usually based on the operating characteristic (OC) curve, which quantifies the risks of producers and consumers. The OC curve plots the probability of accepting a lot against the actual quality level of the submitted lots. In other words, the OC curve shows the discriminatory power of the sampling plan, which provides the producer and the buyer with a common base for judging whether the sampling plan is appropriate. Sherman (1965) developed a new type of sampling plan, called the repetitive group sampling (RGS) plan, for attributes. The operating procedure of this RGS plan is similar to that of the sequential sampling plan. Balamurali and Jun (2006) extended the RGS concept to variables inspection for a normally distributed quality characteristic. They also compared the efficiency of the variables RGS plan with the variables single and double sampling plans. Their results indicate that the variables RGS plan gives the desired protection with the minimum average sample number (ASN) for inspection. It is highly desirable to have an efficient and economic acceptance sampling scheme, especially when the required quality level is very high (Montgomery 2009). Therefore, the main purpose of this paper is to develop a variables RGS plan for product acceptance determination based on the ...

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Section: Developing a Variables Rgs Plan Based On The C Pmk Indexmentioning

confidence: 98%

Developing a variables repetitive group sampling scheme by considering process yield and quality loss

Chen

2014

International Journal of Production Research

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“…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%

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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“…The critical quality can be of variables or attributes type. Acceptance sampling also provides decision rules and criteria by which a lot is accepted or rejected based on inspecting a relatively small sample from the lot (Schilling and Neubauer 2009;Liu, Lin, and Wu 2014;.…”

Section: Introductionmentioning

confidence: 99%

A lots-dependent variables sampling plan considering supplier’s process loss and buyer’s stipulated specifications requirement

Wang

Shu

2015

International Journal of Production Research

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A well-established scheme and mechanism for deciding product acceptance is perceived as a win-win situation for the long-term supplier-buyer relationship. In this paper, we develop a lots-dependent variables sampling scheme for product acceptance determination. The dependent state is based on the sample information of the process capability index that incorporates the supplier's process loss and the buyer's demanded specifications requirement. This main scheme is implemented by a three-rule process that accepts or rejects a related lot conditional on the sample results of past lots. The plan-operational parameters satisfying the desired quality levels and constraining the supplier-buyer risks are determined by a non-linear optimisation model. In performance comparisons, our proposed plan demonstrated higher cost effectiveness and discriminatory power than the traditional variables single sampling plan. Finally, industrial applicability of our recommended sampling plans was investigated in a case study.

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A resubmitted sampling scheme by variables inspection for controlling lot fraction nonconforming

Cited by 71 publications

References 15 publications

Developing a variables repetitive group sampling scheme by considering process yield and quality loss

Developing a variables repetitive group sampling scheme by considering process yield and quality loss

A flexible sampling scheme for variables inspection with loss consideration

A lots-dependent variables sampling plan considering supplier’s process loss and buyer’s stipulated specifications requirement

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