Control Chart for Attributes based on Inverse Rayleigh Distribution

Authors

  • K. Kowsalya Assistant Professor, Department of Statistics, AVS College of Arts &Science, Salem, Tamil Nadu, India
  • K. Sathish Kumar Assistant Professor, Department of Statistics, AVS College of Arts and Science, Salem, Tamil Nadu, India
  • K. Arul Assistant Professor, Department of Statistics, AVS College of Arts and Science, Salem, Tamil Nadu, India

DOI:

https://doi.org/10.37591/rrdms.v5i3.1854

Keywords:

Attribute control chart, Inverse Rayleigh distribution, upper control limit, lower control limit, truncated life test

Abstract

In this paper, a new attribute control chart based on inverse Rayleigh distribution is developed under a time truncated life test. The number of failures is observed from the life test and the fraction nonconforming is to be monitored by two pairs of lower and upper control limits. The simulation study shows the efficiency of the developed chart. An example is provided for illustrating the new control chart.

Cite this Article

Kowsalya K, Sathish Kumar K, Arul K. Control Chart for Attributes based on Inverse Rayleigh Distribution. Research & Reviews: Discrete Mathematical Structures. 2018; 5(3): 1–5p.

References

Chen G, Cheng SW, Xie H. Monitoring process mean and variability with one EWMA chart, J Qual Technol. 2001; 33: 223–233p.

He D, Grigoryan A, Sigh M. Design of double and triple sampling X-bar control charts using genetic algorithms, Int J Prod Res. 2001; 40: 1387–1404p.

Cheng SW, Thaga K. Single variables control charts: an overview, Qual Reliab Eng Int. 2006; 22: 811–820p.

Nichols MD, Padgett W J. A bootstrap control chart for Weibull percentiles, Qual Reliab Eng Int. 2006; 22:141–151p.

Haq A. An improved mean deviation exponentially weighted moving average control chart to monitor process dispersion under ranked set sampling, J Stat Simul Comput. 2014; 84: 2011–2024p.

Lee SH, Park JH, Jun CH. An exponentially weighted moving average chart controlling false discovery rate, J Stat Simul Comput. 2014; 84:1830–1840p.

Ou Y, Wu Z, KhooMB, ChenN. A rational sequential probability ratio test control chart for monitoring process shifts in mean and variance, J Stat Simul Comput. 2015; 85:1765–1781p.

Cohen AC, Whitten BJ. Parameter estimation in reliability and life span models, New York: Marcel Dekker; 1988.

Amin R, Reynolds MR Jr, Bakir ST. Nonparametric quality control charts based on the sign statistic, Communication in Statistics - Theory and Methods. 1995; 24: 1597–1623p.

Bai DS, Choi IS. X bar and R control charts for skewed populations, J Qual Technol. 1995; 27: 120–131p.

Al-OrainiHA, Rahim MA. Economic statistical design of control charts for systems with gamma (λ, 2) in control times, J Appl Stat. 2003; 30: 397–409p.

Wu Z, Luo H, Zhang X. Optimal np control chart with curtailment. Eur J Oper Res. 2006; 174: 1723–1741p.

Wu Z, Wang Q. An np control chart using double inspections, J Appl Stat. 2007; 34: 843–855p.

Lin YC, Chou CY. Non-normality and the variable parameters x bar control charts, Eur J Oper Res Soc. 2007; 176: 361–373p.

Zandi F, Niaki STA, Nayeri MA, Fathi M. Change-point estimation of the process fraction non-conforming with a linear trend in statistical process control, Int J Comp Integrated Manuf. 2011; 24: 939–947p.

McCracken AK, Chakraborti S. Control charts for joint monitoring of mean and variance: an overview. Qual Technol Quant Manag. 2013; 10: 17–36p.

Joekes S, Barbosa EP. An improved attribute control chart for monitoring non-conforming proportion in high quality processes, Control Eng Pract. 2013; 21: 407–412p.

Azam M, Aslam M, Jun CH. Designing of a hybrid exponentially weighted moving average control chart using repetitive sampling, Int J Adv Manuf Technol. 2015; 77: 1927–1933p.

Aslam M, Azam M, Khan N, Jun CH. A control chart for an exponential distribution using multiple dependent state sampling, Qual Quant. 2015; 49: 455–462p.

Nanthakumar C, Kavitha, T. Design of Attribute Control Charts based in Inverse Rayleigh Distribution under Type-I Censoring, Int J Sci Res Math Stat Sci. 2017; 4(6): 17–22p.

Downloads

Published

2019-02-07

Issue

Vol. 5 No. 3 (2018)

Section

Research Articles

License

Declaration and Copyright Transfer Form

(to be completed by authors)

I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.

  • I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
  • I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
  • I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
  •  I/We also agree to the authorship of the article in the following order:

Author’s name                                    

 

1. ________________

2. ________________

3. ________________

4. ________________

 

We  Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal.