ICTACT Journal on Soft Computing

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Determination of Quick Switching Double Sampling System by Attributes Under Fuzzy Binomial Distribution–Sample Size Tightening


Affiliations
1 Department of Statistics, PSG College of Arts and Science, India
     

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Acceptance sampling is concerned with norms of deciding about the acceptance or rejection of the lots based on the quality of the product during inspection. Dodge and Romig popularized the acceptance sampling as a major field of SQC. Various Sampling plans, systems and schemes are developed as per the need of the industry. Quick Switching Systems is a system which requires fewer samples for processes running at low levels of defects. Quick Switching Systems are compared with single, double, multiple, chain and variable sampling plans as well as MIL STD 105 E switching systems and concluded its advantages. This article presents the Quick Switching Double Sampling System (QSDSS) when the fraction of non-conforming items is a fuzzy number and being modeled based on the fuzzy Binomial distribution. Operating Characteristic (OC) curves of the fuzzy system is like a band having high and low bounds whose width depends on the ambiguity proportion parameter in the lot when that sample size and acceptance numbers is fixed. Tables are constructed and numerical illustrations are given to describe the determination of QSDSS for sample size tightening with fuzzy Binomial distribution with its OC curve.

Keywords

SQC, SSP, DSP, QSDSS, OC, Fuzzy Binomial Distribution.
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  • Determination of Quick Switching Double Sampling System by Attributes Under Fuzzy Binomial Distribution–Sample Size Tightening

Abstract Views: 383  |  PDF Views: 4

Authors

K. Ramya
Department of Statistics, PSG College of Arts and Science, India
G. Uma
Department of Statistics, PSG College of Arts and Science, India

Abstract


Acceptance sampling is concerned with norms of deciding about the acceptance or rejection of the lots based on the quality of the product during inspection. Dodge and Romig popularized the acceptance sampling as a major field of SQC. Various Sampling plans, systems and schemes are developed as per the need of the industry. Quick Switching Systems is a system which requires fewer samples for processes running at low levels of defects. Quick Switching Systems are compared with single, double, multiple, chain and variable sampling plans as well as MIL STD 105 E switching systems and concluded its advantages. This article presents the Quick Switching Double Sampling System (QSDSS) when the fraction of non-conforming items is a fuzzy number and being modeled based on the fuzzy Binomial distribution. Operating Characteristic (OC) curves of the fuzzy system is like a band having high and low bounds whose width depends on the ambiguity proportion parameter in the lot when that sample size and acceptance numbers is fixed. Tables are constructed and numerical illustrations are given to describe the determination of QSDSS for sample size tightening with fuzzy Binomial distribution with its OC curve.

Keywords


SQC, SSP, DSP, QSDSS, OC, Fuzzy Binomial Distribution.

References