Design of Attribute Control Chart based on Inverse Rayleigh Distribution under Type-I Censoring

C. Nanthakumar¹ , T. Kavitha²

1. Department of Statistics, Salem Sowdeswari College, Salem, India.
2. Department of Statistics, Salem Sowdeswari College, Salem, India.

Correspondence should be addressed to: nanthakumarstat@gmail.com .

Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.6 , pp.17-22, Dec-2017

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v4i6.1722

Online published on Dec 31, 2017

Copyright © C. Nanthakumar, T. Kavitha . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
Control charts are one of the most common techniques that have been used to observe and control the process deviations in the industry. A control chart provides information about the performance or capability of a process. Lifetime considered as a quality characteristics for some products. Industries are routinely performing suitable life tests for their products. In life testing, censoring schemes are adopted to save time and cost of life test. Time censoring (type-I), product censoring (type-II) and hybrid censoring (Mixture of type-I and type-II censoring) are some of the censoring schemes employed in the life tests. The main objective of this paper is to design an life test based attribute control chart for inverse Rayleigh distribution under type-I censoring scheme. The performance of the control chart is studied using average run length (ARL). Designed control chart is illustrated through numerical examples.

Key-Words / Index Term :
Inverse Rayleigh distribution, attribute control chart, type-I censoring, average run length

References :
[1] E. K. Epprecht, A. F. B. Costa, F. C. T. Mendes, “Adaptive control charts for attributes”, IIE Transction, Vol. 35, No. 6, pp. 567-582, 2003.
[2] A. F. B. Costa, M. A. Rahim, “Joint X bar and R charts with two stages samplings”, Quality and Reliability Engineering International, Vol. 20, No. 7, pp. 699-708, 2004.
[3] L. F. Hsu, “Note on Design of Double and Triple Sampling Control Charts Using Genetic Algorithms”, International Journal of Production Research, Vol. 42, No. 5, pp. 1043-1047, 2004.
[4] L. F. Hsu, “Note on Construction of Double Sampling s -Control Charts for Agile Manufacturing”, Quality and Reliability Engineering International, Vol. 23, pp. 269-272, 2007.
[5] Z. Wu, H. Luo, X. Zhang, “Optimal np control chart with curtailment”, European Journal of Operational Research, Vol. 174, pp. 1723-1741, 2006.
[6] Z. Wu, Q. Wang, “An np control chart using double inspections”, Journal of Applied Statistics, Vol. 34, No. 7, pp. 843-855, 2007.
[7] E. P. Barbosa, S. Joekes, “An improved attribute control chart for monitoring non-conforming proportion in high quality process”, Control Engineering Practice, Vol. 21, pp. 407-412, 2013.
[8] Mohammad Aslam, Chi-Hyuck Jun, “Attribute Control Charts for the Weibull Distribution under Truncated Life Tests”, Quality Engineering, Vol. 27, No. 3, pp.283-288, 2015.
[9] Muhammad Aslam, Nasrullah Khan, Chi-Hyuck Jun, “A control chart for time truncated life tests using Pareto distribution of second kind”, Journal of Statistical Computation and Simulation, Vol. 86, No. 11, pp. 2113-2122, 2016.
[10] V. N. Treyer, “Doklady Acad”, Nauk, Belorus, U.S.S.R, 1964.
[11] R. Gh. Voda, “On the inverse Rayleigh Random Variable”, Rep. Stat. Apph. Res. Juse, Vol. 19, No. 4, pp. 15-21, 1972.
[12] M. K. Gharrap, “Comparison of estimators of location measures of an inverse Rayleigh distribution”, The Egyptian Statistical Journal, Vol. 37, No. 2, pp. 295-309, 1993.
[13] S. P. Mukarjee, S. S. Maitim, “A percentile Estimator of the Inverse Rayleigh Parameter”, IAPQR Transactions, Vol.21, pp. 63-65, 1996.
[14] A. Soliman, E. A. Amin, A. A. Abd-Ei Aziz, “Estimation and Prediction from Inverse Rayleigh Distribution based on Lower Record Values”, Applied Mathematical Sciences, Vol. 4, No. 62, pp. 3057-3066, 2010.