Determination of Lot Size in the Construction of Six sigma based Link Sampling Plans
Journal Title: International Journal of Engineering, Science and Mathematics - Year 2011, Vol 1, Issue 6
Abstract
The term ‘Six Sigma’ originated from the terminology associated with the statistical modeling of manufacturing processes. A six-sigma process is one in which 99.99999% of the products manufactured are statistically expected to be free of defects. Acceptance sampling is a statistical procedure for accepting or rejecting a lot or a batch items based on the number of nonconformities found in a sample. Various sampling plans have been designed and these procedures focus on the determination of lot size by assuming the lot size to be either too large or infinite. It is not very convincing to say that a lot is accepted or rejected on the basis of a fixed sample size irrespective of the lot size. Radhakrishnan and Vasanthamani (2009a, 2009b, 2011) determined the lot sizes for single sampling plans, double sampling plans, double sampling plans of the type DSP(0,1) for fixed AOQ. Further, Radhakrishnan and Vasanthamani (2010, 2009c) determined the lot size for single and double sampling plans DSP(0,1) based on six sigma quality levels also which are useful for the companies practicing six sigma initiatives in their organization. In this paper an attempt is made to determine the size of the lot (N) of a Six sigma based link sampling plan with Poisson distribution as a base line distribution. A table is also constructed for the easy selection of the plan for various values of sample size (n1, n2), acceptance numbers (c1=1, c2=3) and Average Outgoing Quality (AOQ) with probability of acceptance 1–3.4 x 10 - 6 .
Authors and Affiliations
R. Radhakrishnan and P. Vasanthamani
Keywords
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