WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 18, 2019
The Design of Continuous Sampling Plan G-TF-CSP
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Abstract: The purpose of this paper is to design the G-TF-CSP for the concept of a three-level continuous sampling plan, derive and test the accuracy of the performance measure formulas, namely, the average fraction inspected (AFI), the average outgoing quality (AOQ) and the average fraction of the total produced accepted on sampling basis (Pa(p)). The plan is defined, the sampling frequency at level 1 is f1 = 1/r, the sampling frequency at level 2 is f2 = 1/(r–1), the sampling frequency at level 3 is f3 = 1/(r+1) when r is the sampling interval (r = 3) and the number of conforming units to be found in the sampling inspection at level 1 is k and k = i when i is the clearance number (i = 20, 40 and 50), the maximum allowable number of non-conforming units at level 2 or 3 (m) are 2 and 3, and the probability of a unit produced by the process being nonconforming (p) are 0.005, 0.008 and 0.01. The derivation of the performance measure formulas is based on the Markov Chain. The accuracy of the performance measure formulas have been tested by extensive simulations for all sets of parameter values and p.
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Keywords: continuous sampling plan, markov chain, average fraction inspected, average outgoing quality, average fraction of the total produced accepted on sampling basis
Pages: 319-325
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #40