Developing of a new system of skip-lot reinspection schemes

ABSTRACT

The skip-lot sampling plans are widely used in industries for quality inspection of products in order to reduce the sampling costs and inspection efforts when products have good quality history. Also, the skip-lot sampling plan concept is sound and useful and it is economically advantageous to use the skip-lot approach in the design of sampling plans. Thus, the skip-lot sampling plans are useful to minimize the cost of the inspection particularly in costly and destructive testing. Hence, a new system of skip-lot sampling plans designated as SkSP-2-R plan is developed in this article by incorporating the idea of resampling procedure in the skip-lot sampling plans of type SkSP-2. A Markov chain formulation and derivation of performance measures for this new plan are presented. The properties and advantages of the SkSP-2-R plan are studied with single sampling plan as the reference plan. The response-to-change characteristics of the SkSP-2-R plan are also investigated, based on the average run length.

KEYWORDS:

• Markov chain
• Quality control
• Resampling scheme
• Skip-lot sampling

MATHEMATICS SUBJECT CLASSIFICATION:

• Primary 60J20, 90B25
• Secondary 62P30

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Erratum

Acknowledgments

The authors would like to thank the Editor and the anonymous reviewers for their valuable comments and suggestions which significantly improved the presentation of this manuscript and the Department of Science and Technology, Government of India, for supporting the research work financially (FIST) through the grant No. SR/FST/MSI-107/2015.