On the reliability of the estimated incapability index

Pearn, W. L.; Lin, Gu-Hong

doi:10.1002/qre.378

Cited by 19 publications

(25 citation statements)

References 5 publications

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“…If the process characteristic follows the normal distribution, Pearn and Lin [5] showed thatĈ pp is the MLE, and the UMVUE of C pp . They also showed thatĈ pp is consistent, …”

Section: Estimation Of C Ppmentioning

confidence: 99%

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Estimated incapability index: reliability and decision making with sample information

Pearn

Lin

2002

Quality & Reliability Eng

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SUMMARYThe process incapability index C pp , which provides an uncontaminated separation between information concerning the process precision and process accuracy, has been proposed to measure process performance for industry applications. In this paper, we investigate the reliability of the natural estimator computationally, based on the α-level confidence relative error for various sample sizes. We also develop a decision-making procedure for judging if the process satisfies the preset quality requirement. The investigation is useful to the practitioners in determining the sample sizes required in their applications for the decisions reliable to the desired level. Copyright THE INCAPABILITY INDEX C ppA process incapability index C pp , providing numerical measures on process performance, has been proposed by Greenwich and Jahr-Schaffrath [1]. The index C pp is a simple transformation of C * pm , a general form of the capability index C pm considered by Chan et al. [2], which provides an uncontaminated separation between information concerning the process precision and the process accuracy. The index C pp is defined as the following:where µ is the process mean, σ is the process standard deviation, D = min{(USL − T )/3, (T − LSL)/3}, USL and LSL are the upper and the lower specification limits, and T is the target value. If we defineThe index C ip measures the process variation relative to the specification tolerance, which reflects process precision. The index C ia measures the relative process departure, which reflects process accuracy. We note that the mathematical relationships C ip =

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“…If the process characteristic follows the normal distribution, Pearn and Lin [5] showed thatĈ pp is the MLE, and the UMVUE of C pp . They also showed thatĈ pp is consistent, …”

Section: Estimation Of C Ppmentioning

confidence: 99%

“…, recommended by Pearn and Lin [5] to estimate C ia (see also Greenwich and Jahr-Schaffrath [1]) where…”

Section: A Decision Making Proceduresmentioning

confidence: 99%

Estimated incapability index: reliability and decision making with sample information

Pearn

Lin

2002

Quality & Reliability Eng

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“…Where T presents the target value, d=(USL-LSL)/2, D= d/3; USL is upper specification limit and LSL is lower specification limit,  denotes process mean,  represents the standard deviation (Pearn and Lin, 2001).…”

Section: Alphanumeric Journalmentioning

confidence: 99%

Process Capability And Price Evaluation Chart For A Pharmaceutical Company

Dağ¹,

Kabadayı²

2015

Alphanumeric

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Supplier selection is a critical decision process in a company. Since, gaining a competitive advantage is a great challenge in today's economy; firms need a well-managed supply chain to compete in these circumstances. Supply chain is an integrated system in which individual companies perform interdependent activities. Therefore, the success of a supply chain is highly dependent on establishing a longer-term working relationship among members of the supply chain community. Supplier selection process is a multi-criteria problem which includes different attributes such as quality, delivery, price, supply variety, distance etc. In our study, we consider two major criteria price and quality together with using incapability index Cpp and price advantage chart in order to evaluate supplier performance. In this paper a case study of the pharmaceutical industry is illustrated. The results obtained in this study show that capability and price advantage chart is useful to the practitioners in choosing the best supplier.

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“…We note that if the production tolerance is symmetric, thenÂ may be simplified as |X − T| and the estimatorĈ " pp becomes the UMVUE of C pp discussed by Pearn and Lin [11]. Lin et al [15] derived the explicit forms for the distribution functions ofĈ " pp assuming that the random variables were sampling from a normal population.…”

Section: A Generalization Of C Ppmentioning

confidence: 99%

“…Under the normality assumption, Pearn and Lin [11] obtained the UMVUE of C pp . Useful maximum values based on the UMVUE are also tabulated under µ = T for which the process is capable.…”

Section: Introductionmentioning

confidence: 99%

Upper limits of the estimated incapability index: a practical application on the reliability assessment of printed circuit boards

Lin

2004

Int J Adv Manuf Technol

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Upper confidence limits are derived for the incapability index. Useful maximum values of the estimated incapability index required to ensure the process reaches a certain desirable level of time are also tabulated. A practical example is provided to illustrate how the results may be applied. The proposed results, which are more general than those as derived in earlier studies will facilitate process monitoring and reliability evaluation.

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On the reliability of the estimated incapability index

Cited by 19 publications

References 5 publications

Estimated incapability index: reliability and decision making with sample information

Estimated incapability index: reliability and decision making with sample information

Process Capability And Price Evaluation Chart For A Pharmaceutical Company

Upper limits of the estimated incapability index: a practical application on the reliability assessment of printed circuit boards

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