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Optimal designing of an SkSP-R double sampling plan
Authors:Saminathan Balamurali  Liaquat Ahmad  Jaffer Hussain  Chi-Hyuck Jun
Institution:1. Department of Mathematics, Kalasalingam University, Krishnankoil, TN, India;2. Department of Statistics and Computer Science, University of Veterinary &3. Animal Sciences, Lahore, Pakistan;4. Department of Statistics, GC University Lahore, Lahore, Pakistan;5. Department of Industrial and Management Engineering, POSTECH, Pohang, Republic of Korea
Abstract:In this article, we propose a method of planning and determining the optimum parameters of a SkSP-R skip-lot sampling plan by using the attribute double sampling plan as the reference plan. The SkSP-R plan is a new type of skip-lot sampling plan which has a provision for re-inspecting the submitted lots. The optimal plan parameters of the suggested sampling plan are estimated with the target that the average sample number be minimized and satisfying both the specified producer's as well as the consumer's risks simultaneously. In order to obtain the optimum parameters, tables are also built for different combinations of the acceptable quality level and the limiting quality level in conjunctions with different producer's and consumer's risks. An illustrative example is provided for the implementation of the suggested plan. The advantages of the suggested plan over the existing conventional sampling plans and other existing skip-lot sampling plans are also described.
Keywords:Acceptable quality level  average sample number  consumer's risk  double sampling  producer's risk  skip-lot sampling  
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