VARIABLES CHAIN SAMPLING PLAN BASED ON THE MINIMUM ANGLE METHOD INVOLVING MINIMUM SUM OF RISKS.

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Title:	VARIABLES CHAIN SAMPLING PLAN BASED ON THE MINIMUM ANGLE METHOD INVOLVING MINIMUM SUM OF RISKS.
Authors:	Suthersan, P.¹ suthersan8@gmail.com, Balamurali, S.² sbmurali@rediffmail.com
Source:	Reliability: Theory & Applications. Dec2025, Vol. 20 Issue 4, p1104-1114. 11p.
Subjects:	Acceptance sampling, Product quality, Sampling (Process), False positive error, Receiver operating characteristic curves, Adaptive sampling (Statistics), Design techniques
Abstract:	This study presents a designing methodology for a variables based chain sampling plan utilizing the minimum angle criterion. In the context of acceptance sampling, managing both producer's risk and consumer's risk is essential for ensuring consistent product quality, particularly within industrial applications. These risks must be addressed concurrently when making quality related decisions. In this work, both risks are effectively reduced by minimizing the tangent angle formed between two points on the operating characteristic curve: the producer's quality level, associated with the probability of accepting a good lot, and the consumer's quality level, associated with the probability of accepting a bad lot. The variables chain sampling plan provides the underlying framework for this formulation. The proposed design procedures are detailed through step-by-step methodologies to demonstrate the implementation of the approach. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	This study presents a designing methodology for a variables based chain sampling plan utilizing the minimum angle criterion. In the context of acceptance sampling, managing both producer's risk and consumer's risk is essential for ensuring consistent product quality, particularly within industrial applications. These risks must be addressed concurrently when making quality related decisions. In this work, both risks are effectively reduced by minimizing the tangent angle formed between two points on the operating characteristic curve: the producer's quality level, associated with the probability of accepting a good lot, and the consumer's quality level, associated with the probability of accepting a bad lot. The variables chain sampling plan provides the underlying framework for this formulation. The proposed design procedures are detailed through step-by-step methodologies to demonstrate the implementation of the approach. [ABSTRACT FROM AUTHOR]
ISSN:	19322321
DOI:	10.24412/1932-2321-2025-489-1104-1114