ECONOMIC DESIGN OF MEWMA VSSI CONTROL CHARTS FOR MULTIATTRIBUTE PROCESSES

Seyed Taghi Akhavan Niaki, Paravaneh Jahani

2012

Abstract

In this research, a new methodology is developed to economically design a multivariate exponentially weighted moving average (MEWMA) control chart for multiattribute processes. The optimum design parameters of the chart, i.e., the sample size, the sampling interval, and the warning/action limit coefficients, are obtained using a genetic algorithm to minimize the expected total cost per hour. A sensitivity analysis has also been carried out to investigate the effects of the cost and model parameters on the solutions obtained.

References

  1. Chou, C. Y., Chen, C. H., Liu, H. R. (2006). Economic design of EWMA charts with variable sampling intervals. Quality & Quantity 40: 879-896.
  2. Duncan A. J. (1956). The economic design of X-charts used to maintain current control of a process. Journal of the American Statistical Association 51: 228-242.
  3. Goldberg, D. E. (1989). Genetic algorithms in search, optimization, and machine learning. Reading, MA: Addison-Wesley.
  4. Jolayemi J. K. (2000). An optimal design of multiattribute control charts for processes subject to a multiplicity of assignable causes. Applied Mathematics and Computation 114: 187-203.
  5. Lin, Y. C., Chou, C. Y. (2005a). Adaptive X-bar control charts with sampling at fixed times. Quality and Reliability Engineering International 21: 163-175.
  6. Lin, Y. C., Chou, C. Y. (2005b). On the design of variable sample size and sampling intervals X-bar charts under non-normality. International Journal of Production Economics 96: 249-261.
  7. Lorenzen, T. J., Vance, L. C. (1986). The economic design of control charts: A unified approach. Technometrics 28: 3-10.
  8. Lowry, C. A., Woodall, W. H., Champ, C. W., Erigdon, S. (1992). A multivariate exponentially weighted moving average control chart. Technometrics 34: 46-53.
  9. Montgomery, D. C. (1996). Design and Analysis of Experiments, 4th ed., John Wiley & Sons, New York, NY.
  10. Niaki, S. T. A., Abbasi, B. (2008). A transformation technique in designing multi-attribute C control charts. Scientia Iranica 15: 125-130.
  11. Reynolds, M. R., Jr., Arnold, J. C. (2001). EWMA control charts with variable sample sizes and variable sampling intervals. IIE Transactions 33: 511-530.
  12. Saccucci, M.S., Amin, R.W. Lucas, J. M. (1992). Exponentially weighted moving average control schemes with variable sampling intervals. Communication in Statistics-Simulation and Computation 21: 627-657.
Download


Paper Citation


in Harvard Style

Taghi Akhavan Niaki S. and Jahani P. (2012). ECONOMIC DESIGN OF MEWMA VSSI CONTROL CHARTS FOR MULTIATTRIBUTE PROCESSES . In Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-8425-97-3, pages 93-99. DOI: 10.5220/0003695400930099


in Bibtex Style

@conference{icores12,
author={Seyed Taghi Akhavan Niaki and Paravaneh Jahani},
title={ECONOMIC DESIGN OF MEWMA VSSI CONTROL CHARTS FOR MULTIATTRIBUTE PROCESSES},
booktitle={Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2012},
pages={93-99},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003695400930099},
isbn={978-989-8425-97-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - ECONOMIC DESIGN OF MEWMA VSSI CONTROL CHARTS FOR MULTIATTRIBUTE PROCESSES
SN - 978-989-8425-97-3
AU - Taghi Akhavan Niaki S.
AU - Jahani P.
PY - 2012
SP - 93
EP - 99
DO - 10.5220/0003695400930099