Designing of Quick Switching System with Multiple Repetitive Group Sampling Plan Indexed through Quality Decision Region

Abstract

Acceptance sampling plan is a statistical estimate often used in the inspections to decide whether to accept or reject a certain aspect of materials. Merging of acceptance sampling plans with switching rules in order to alter or change over from one to another plan is regarded as an Acceptance Sampling strategy. In the present study, we have developed a new sentence to design sampling strategy, based on the range of quality by adopting a new approach, termed as Decision Region Performance of the system. This approach was analyzed and compared with other equivalent plans. Adding necessary takes constructed and procedures were outlined, for the Quick Switching System Multiple Repetitive group sampling plan (QSSMRGS). We report, and throw a light on development of new measures, for designing sampling arrangement and evaluating and comparing its individual from other related plans.

Introduction

Acceptance sampling is a statistical quality control method widely used in industry to decide whether to accept or reject a batch of products when full inspection is impractical. This article introduces a new Quick Switching Multiple Repetitive Group Sampling (QSSMRGS) system, an advanced sampling plan designed to improve inspection efficiency and accuracy using quality decision regions.

Quick Switching System (QSS):
The QSS concept involves switching between normal and tightened inspection plans based on sample results. It was first proposed by Dodge (1969) and later developed by others, including Romboski and Soundarajan, who expanded the system with various sampling plans and reference tables. The QSS allows flexible sampling that adjusts inspection rigor dynamically depending on quality observed.

Multiple Repetitive Group Sampling Plan (MRGS):
MRGS extends the idea of repetitive group sampling, where acceptance or rejection decisions depend on repeated sampling results from current and past lots. This approach, developed by Sherman (1965) and expanded by Shankar, Mahopatra, and others, uses conditional sampling outcomes to refine lot acceptance criteria.

Conditions for Application:

• Constant production process with predictable quality.

• Lots inspected in production order with non-conforming fraction estimated.

• Inspection conducted on a stream of lots with prior acceptance influencing current inspection.

Operating Procedure:

• Begin with normal inspection using QSSMRGS parameters.

• If a lot is rejected, switch to tightened inspection.

• If a lot under tightened inspection is accepted, switch back to normal inspection.

Operating Characteristics:
The system defines different quality regions to guide decision-making:

• Quality Decision Region (QDR): Range where product quality is reliably maintained.

• Probabilistic Quality Region (PQR): Range with acceptance probabilities between 0.10 and 0.95.

• Limiting Quality Region (LQR): Range between minimum acceptance probability and average quality.

• Indifference Quality Region (IQR): Range with acceptance probability between 0.50 and 0.95.

For specified QDR and LQR values, parameters for QSSMRGS plans are determined using provided tables, enabling companies to design sampling plans tailored to their defect levels and quality requirements.

Examples are given illustrating how to select parameters for three variants of QSSMRGS plans based on defect rates and quality limits.

Conclusion

In this Paper New method for Quick switching system with Multiple Repetitive Group Sampling Plan indexed through Quality decision region is used. Quick Switching System with Multiple Repetitive Group Sampling Plan 1,2,&3 plan are considered in this paper for finding the quality Region. The Quality Decision Region idea has been proposed and executed as are replacement of determining deterministic quality level as boundary quality levels thus providing higher probability of acceptance. Study has strongly favored that construction and selection of performance measures for Quality Interval Sampling (QIS) inspection plan indexed through Quality Regions. Tables are simulated for various parameters and numerical illustration was given for the ease of understanding of the procedure.

References

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Copyright

Copyright © 2025 Dr. K. Kaviyamani . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.