Determination of multiple dependent state repetitive group sampling plan based on the process capability index |
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Authors: | S. Balamurali Muhammad Aslam |
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Affiliation: | 1. Department of Computer Applications, Kalasalingam University, Krishnankoil, Tamilnadu, India;2. sbmurali@rediffmail.com;4. Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia |
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Abstract: | AbstractIn this article, we propose a sampling plan called a multiple dependent state repetitive group sampling plan for variable inspection based on the process capability index Cpk. The proposed sampling plan is applicable for the inspection of normally distributed quality characteristics when both mean and variance are assumed to be unknown. This new plan under variable inspection will be very useful particularly in compliance testing. Tables are also constructed for the determination of optimal parameters for easy selection and implementation of the plan. The optimal parameters can be determined by using the approach of two points on the operating characteristic curve. Symmetric and asymmetric cases based on the fraction nonconforming by the lower and the upper specification limits are also considered. Advantages of the proposed plan are also discussed. It is also shown that the proposed plan outperforms other existing sampling plans under variable inspection. |
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Keywords: | Conditional sampling by variables decision making nonlinear programming process capability index quality control |
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