Economic design of quick switching sampling system for resubmitted lots

Abstract

This paper proposes a quick switching sampling system for the inspection of attributes quality characteristics for resubmitted lots. The optimal parameters for both fraction non conforming items and fraction non conformities of the proposed sampling system are determined using an optimization procedure so that producer’s risk and consumer’s risk are simultaneously satisfied. Tables are also constructed for the selection of parameters for specified AQL and LQL. The advantage of the proposed plan over the existing plan is discussed and illustrate. An economic design of the proposed sampling system is also discussed and shown that the proposed sampling system has minimum total cost and average total inspection compared to other existing sampling plans.

Keywords:

• Acceptable quality level
• consumer’s risk
• economic design
• limiting quality level
• producer’s risk
• total cost

MATHEMATICS SUBJECT CLASSIFICATION:

• 62D05
• 62P30
• 90C30
• 90C90

Acknowledgements

The authors would like to thank the anonymous reviewers and the Editor for their insightful comments and valuable suggestions which led to improve the presentation of the manuscript.