SkSP-R sampling plan based on process capability index |
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Authors: | Jaffer Hussain S. Balamurali Chi-Hyuck Jun |
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Affiliation: | 1. Department of Statistics, GC University, Lahore, Pakistan;2. Department of Mathematics, Kalasalingam University, Krishnankoil, India;3. Department of Industrial and Management Engineering, POSTECH, Pohang, Republic of Korea |
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Abstract: | ![]() In this paper, we present an optimal designing methodology for the skip-lot sampling plan (SkSP) of type SkSP-R based on the most widely used process capability index (PCI) Cpk. The SkSP-R plan is one of the SkSPs that incorporate the provision of the reinspection concept. In order to design the optimal parameters, we consider both symmetric and asymmetric fraction non conforming cases. Tables are also constructed to determine the optimal parameters by formulating an optimization problem. The advantages of the proposed plan over the existing plan are also discussed. Application of the plan is explained with a real-life example. |
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Keywords: | Consumer's risk Producer's risk Process capability index Normal distribution Skip-lot sampling. |
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