Time Control Charts Using Order Statistics

by By R.R.L.Kantam and M.Ch.Priya .

Abstract: Control charts are widely used for process monitoring in the manufacturing industry. A recent control scheme based on the cumulative quantity between observations of defects has been proposed which can be easily adopted to monitor the failure process for exponentially distributed inter-failure time. An investigation of its use for reliability monitoring is presented in this paper and the scheme can be easily extended to monitor inter-failure times that follow other distributions. For an effective monitoring of failure process the time between every rth failure (r is a natural number >=2) instead of inter-failure times is considered for developing a variable control chart called Time Control Charts. Use of order statistics is demonstrated for constructing the control limits whereas a similar previous work for exponential model is based on the sampling distribution of cumulative sums of inter-failure times. Our proposed method requires percentiles of the extreme order statistics and relatively simpler than the existing one. Our results are illustrated for some standard life testing models.

Key Words: NONE

Authors:
R.R.L.Kantam, kantam.rrl@gmail.com
M.Ch.Priya, chaitanya.metlapalli@gmail.com

Editor: Anoop Chaturvedi,anoopchaturv@gmail.com

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