Browse > Article

The Economic Design of VSS $\bar{x}$ Control Chart for Compounding Effect of Double Assignable Causes  

Sim Seong-Bo (한양대학교 산업공학과)
Kang Chang-Wook (한양대학교 정보경영공학과)
Kang Hae-Woon (한양대학교 산업공학과)
Publication Information
Journal of Korean Society of Industrial and Systems Engineering / v.27, no.2, 2004 , pp. 114-122 More about this Journal
Abstract
In statistical process control applications, variable sample size (VSS) $\bar{X}$ chart is often used to detect the assignable cause quickly. However, it is usually assumed that only one assignable cause results in the out-of-control in the process. In this paper, we propose the algorithm to minimize the function of cost per unit time and compare the economic design and the statistical design by use of the value of cost per unit time. We consider double assignable causes to occur with compound in the process and adopt the Markov chain approach to investigate the statistical properties of VSS $\bar{X}$ chart. A procedure that can calculate the control chart's parameters is proposed by the economic design.
Keywords
economic design; control chart; variable sample size; compounding case;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Duncan, A. J., 'The Economic Design of X-Charts When There is a Multiplicity of Assignable Causes,' Journal of the American Statistical Association, Vol. 66, No. 333, pp. 107-121, 1971   DOI   ScienceOn
2 De Magalhaes M. S., E. K. Epprecht, and A. F. B. Costa, 'Economic Design of a VpX Chart,' International Journal of Production Economics, Vol. 74, pp. 191-200, 2001   DOI   ScienceOn
3 Prabhu, S. S., D. C. Montgomery, and G. C. Runger, 'Economic-Statistical Design of an Adaptive X Chart,' International Journal of Production Economics, Vol. 49, pp. 1-15, 1997   DOI   ScienceOn
4 Prabhu, S. S., G. C. Runger, and J. B. Keats, 'X Chart with Adaptive Sample Sizes,' International Journal of Production Research, Vol. 31, No. 12, pp. 2895-2909, 1993   DOI   ScienceOn
5 Woodall, W. H., 'Weaknesses of the Economic Design of Control Charts,' Technometrics, Vol. 28, No. 4, pp. 408-409, 1986   DOI   ScienceOn
6 Costa, A. F. B., 'X Charts with Variable Sample Size and Sampling Intervals,' Journal of Quality Technology, Vol. 29, No. 2, pp. 197-204, 1997
7 Montgomery, D. C., 'The Economic Design of Control Charts: A Review and Literature Survey,' Journal of Quality Technology, Vol. 12, No. 2, pp. 75-87, 1980
8 Park, C. and M. R. Reynolds Jr., 'Economic Design of a Variable Sample Size X Charts,' Communication in Statistics-Simulation and Computation, Vol. 23, No. 2, pp. 467-483, 1994   DOI   ScienceOn
9 이호우, 대기행렬이론, 도서출판 기술, 안양, 경기, 1996
10 Lorenzen T. J. and L. C. Vance, 'The Economic Design of Control Charts: A Unified Approach,' Technometrics, Vol. 28, No. 1, pp. 3-10, 1986   DOI   ScienceOn
11 Costa, A. F. B., 'X Charts with Variable Sample Size', Journal of Quality Technology, Vol. 26, No. 3, pp. 155-163, 1994
12 Duncan, A. J., 'The Economic Design of X Charts Used to Maintain Current Control of a Process,' Journal of the American Statistical Association, Vol. 51, pp. 228-242, 1956   DOI   ScienceOn
13 Sim S. B., C. W. Kang, and M. Xie, 'On Variable Sample Size X Chart for Process with Double Assignable Causes', International Journal of Reliability, Quality and Safety Engineering, Vol. 11, No. 1, pp. 47-58, 2004   DOI   ScienceOn