Browse > Article

A Variables Repetitive Group Sampling Plan for Minimizing Average Sample Number  

Park, Heekon (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology)
Moon, Young-gun (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology)
Jun, Chi-Hyuck (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology)
Balamurali, S. (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology)
Lee, Jaewook (Division of Mechanical and Industrial Engineering, Pohang University of Science and Technology)
Publication Information
Journal of Korean Institute of Industrial Engineers / v.30, no.3, 2004 , pp. 205-212 More about this Journal
Abstract
This paper proposes the variables repetitive group sampling plan where the quality characteristic following normal distribution has upper or lower specification limit. The problem is formulated as a non-linear programming problem where the objective function to minimize is the average sample number and the constraints are related to lot acceptance probabilities at acceptable quality level (AQL) and limiting quality level (LQL) under the operating characteristic curve. Sampling plan tables are constructed for the selection of parameters indexed by AQL and LQL in the cases of known standard deviation and unknown standard deviation. It is shown that the proposed sampling plan significantly reduces the average sample number as compared with the single or the double sampling plan.
Keywords
variable sampling plan; average sample number; producer's risk; consumer's risk; OC curve;
Citations & Related Records
연도 인용수 순위
  • Reference
1 International Organization for Standardization(1991), Sequential Sampling Plans for Inspection by Variables for Percent Nonconforming(Known Standard Deviation), ISO 8423: 1991, ISO, Geneva
2 The MathWorks, Inc.(2002), Using MATLAB, version 6, Natick, MA, USA
3 Lieberman, G. J. and Resnikoff, G. J.(1955), Sampling Plans for Inspection by Variables, Journal of the American Statistical Association, 50(270), 457-516   DOI   ScienceOn
4 Hamaker, H. C(1979), Acceptance Sampling for Percent Defective by Variables and by Attributes, Journal of Quality Technology, 11(3),139-148
5 Bai, D. S.(1992), Statistical Quality Control, Yeonggji Moonhwasa, Seoul, Korea
6 Sherman, R. E.(1965), Design and Evaluation of Repetitive Group Sampling Plan, Technometrics, 7(1), 11-2l
7 Govindaraju, K. and Kuralmani, V.(1992), A Note on the Operating Characteristic Curve of the Known Sigma Single Sampling Variables Plan, Communications in Statistics-Theory and Methods, 21(8),2339-2347   DOI
8 Schilling, E. G.( 1982), Acceptance Sampling in Quality Control, Marcel Dekker, New York
9 Sommers, D. J.(1981), Two-Point Double Variables Sampling Plans, Journal of Quality Technology, 13(1),25-30
10 Park, S. H. and Park, Y. H.(2002), Statistical Quality Control, Minyoungsa, Seoul, Korea
11 Nocedal, J. and Wright, S. J.(1999), Numerical Optimization, Springer