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Pannarat Guayjarernpanishk



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Pannarat Guayjarernpanishk


WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 18, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 18, 2019



The Design of Continuous Sampling Plan G-TF-CSP

AUTHORS: Pannarat Guayjarernpanishk

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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

KEYWORDS: continuous sampling plan, markov chain, average fraction inspected, average outgoing quality, average fraction of the total produced accepted on sampling basis

REFERENCES:

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[2] G. J. Lieberman and H. Solomon, Multi-level continuous sampling plans, Annals of Mathematical Statistics, Vol. 26, 1955, pp. 686-704.

[3] H. A. Lasater, On the robustness of a class of continuous sampling plans under certain types of process models, PhD Dissertation, Rutgers University, New Brunswick, NJ, 1970.

[4] H. F. Dodge, A Sampling inspection plan for continuous production, Annals of Mathematical Statistics, Vol. 14, 1943, pp.264-279.

[5] H. F. Dodge and M.N. Torrey, Additional continuous sampling inspection plans, Industrial Control, Vol. 7, 1951, pp. 7-12.

[6] K. S. Stephens, The Handbook of Applied Acceptance Sampling Plans, Procedures, and Principles, American Society for Quality, 2001.

[7] P. Guayjarernpanishk, The Fractional Sampling Plan for Continuous Production Line, Far East Journal of Mathematical Sciences, Vol. 84, No. 2, 2014, pp. 199-217.

[8] P. Guayjarernpanishk and T. Mayureesawan, The Design of Two-Level Continuous Sampling Plan MCSP-2-C, Journal of Applied Mathematical Sciences, Vol. 6, No. 90, 2012, pp. 4483-4495.

[9] P. Guayjarernpanishk and T. Mayureesawan, The MCSP-F-L Fractional Continuous Sampling Plan, Thailand Statistician, Vol. 12, No. 1,2015, pp. 79-96.

[10] S. Balamurali and K. Govindaraju, Modified tightened two-level continuous sampling plans, J. Appl. Stat., Vol. 27, 2000, pp. 397-409.

[11] S. Balamurali and K. Subramali, Modified CSP-C Continuous Sampling plan for Consumer Protection, J. Appl. Stat., Vol. 31, 2004, pp. 481-494.

[12] S. Balamurali and M. Kalyanasundaram, Generalized tightened two-level continuous sampling plans, J. Appl. Stat., Vol. 27, 2000, pp. 23-38.

[13] S. Karlin, A First Course in Stochastic Processes, Academic Press, 1996.

[14] S. W. Roberts, States of Markov chains for evaluating continuous sampling plans, Transactions of the 17th Annual All Day Conference on Quality Control, Metropolitan Section, ASQC, and Rutgers University, New Brunswick, NJ, 1965, pp.106-111.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #40, pp. 319-325


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