AUTHORS: Pannarat Guayjarernpanishk
Download as PDF
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:
[
1] C. Kandaswamy and K. Govindaraju, Selection
of tightened two level continuous sampling
plans, J. Appl. Stat., Vol. 20, 1993, pp. 271-
284.
[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.