A Control Chart for COM–Poisson Distribution Using Multiple Dependent State Sampling

In this article, an attribute control chart has been proposed for the COM–Poisson distributed non-conformities using multiple dependent states sampling based on the exponentially weighted moving average statistic. Average run lengths of the out-ofcontrol process with different shift levels of the COM–Poisson distribution have been calculated through simulation. From comparison, it has been observed that the proposed control chart is better in detecting the out-of-control process quickly as compared with the existing control chart. A simulated example has been given for the practical use of the proposed control chart. Copyright © 2016 John Wiley & Sons, Ltd.

[1]  Changliang Zou,et al.  The computation of average run length and average time to signal: an overview , 2014 .

[2]  A. W. Wortham,et al.  Multiple deferred state sampling inspection , 1976 .

[3]  Felix Famoye,et al.  Statistical control charts for shifted generalized poisson distribution , 1994 .

[4]  Muhammad Azam,et al.  A Control Chart for COM–Poisson Distribution Using Resampling and Exponentially Weighted Moving Average , 2016, Qual. Reliab. Eng. Int..

[5]  Eleftheriou Mavroudis,et al.  EWMA Control Charts for Monitoring High Yield Processes , 2013 .

[6]  Saddam Akber Abbasi,et al.  A new nonparametric EWMA sign control chart , 2012, Expert Syst. Appl..

[7]  Muhammad Azam,et al.  A control chart for an exponential distribution using multiple dependent state sampling , 2015 .

[8]  Authors' Biographies , 2005 .

[9]  Saowanit Sukparungsee,et al.  The ARL of EWMA Chart for Monitoring ZINB Model Using Markov Chain Approach , 2014 .

[10]  Chi-Hyuck Jun,et al.  A Multiple Dependent State Control Chart Based on Double Control Limits , 2014 .

[11]  Michael J. LuValle,et al.  Generalized Poisson Distributions: Properties and Applications , 1990 .

[12]  E. S. Page.  CONTINUOUS INSPECTION SCHEMES , 1954 .

[13]  Connie M. Borror,et al.  Robustness of the EWMA Control Chart to Non-Normality , 1999 .

[14]  Zhang Wu,et al.  Design of EWMA control chart for minimizing the proportion of defective units , 2012 .

[15]  Sukhraj Singh,et al.  Performance of CUSUM and EWMA charts for serial correlation , 2013 .

[16]  V. Soundararajan,et al.  Construction and selection of multiple dependet (deferred) state sampling plan , 1990 .

[17]  Muhammad Azam,et al.  A new control chart for exponential distributed life using EWMA , 2015 .

[18]  Marta Pérez-Casany,et al.  Overdispersed and underdispersed Poisson generalizations , 2005 .

[19]  Roger M. Sauter,et al.  Introduction to Statistical Quality Control (2nd ed.) , 1992 .

[20]  Sven Knoth,et al.  Accurate ARL Calculation for EWMA Control Charts Monitoring Normal Mean and Variance Simultaneously , 2007 .

[21]  Chi-Hyuck Jun,et al.  Multiple dependent state sampling plans for lot acceptance based on measurement data , 2007, Eur. J. Oper. Res..

[22]  Smiley W. Cheng,et al.  Monitoring process mean with a new EWMA control chart , 2011 .

[23]  Fang-Chih Tien,et al.  A single-featured EWMA-X control chart for detecting shifts in process mean and standard deviation , 2011 .

[24]  T. Minka,et al.  A useful distribution for fitting discrete data: revival of the Conway–Maxwell–Poisson distribution , 2005 .

[25]  Fred Spiring,et al.  Introduction to Statistical Quality Control , 2007, Technometrics.

[26]  Muhammad Azam,et al.  New attributes and variables control charts under repetitive sampling , 2014 .

[27]  Su-Fen Yang,et al.  Using a new VSI EWMA average loss control chart to monitor changes in the difference between the process mean and target and/or the process variability , 2013 .

[28]  Reza Baradaran Kazemzadeh,et al.  An EWMA t chart with variable sampling intervals for monitoring the process mean , 2013 .

[29]  V. Kuralmani,et al.  Selection of multiple deferred (dependent) state sampling plans , 1992 .

[30]  S. W. Roberts,et al.  Control Chart Tests Based on Geometric Moving Averages , 2000, Technometrics.

[31]  R. Vijayaraghavan,et al.  On designing multiple deferred state sampling (MDS-1 (0, 2)) plans involving minimum risks , 1989 .

[32]  Aamir Saghir,et al.  A Flexible and Generalized Exponentially Weighted Moving Average Control Chart for Count Data , 2014, Qual. Reliab. Eng. Int..

[33]  Sven Knoth,et al.  EWMA p charts under sampling by variables , 2013 .

[34]  Elvira N. Loredo,et al.  A Program for ARL Calculation for Multivariate EWMA Charts , 2001 .

[35]  Chi-Hyuck Jun,et al.  Designing of X-bar control charts based on process capability index using repetitive sampling , 2014 .

[36]  S. Crowder.  A simple method for studying run-length distribution of exponentially weighted moving average charts , 1987 .

[37]  Muhammad Riaz,et al.  An EWMA-Type Control Chart for Monitoring the Process Mean Using Auxiliary Information , 2014 .

[38]  Galit Shmueli,et al.  The COM-Poisson model for count data: a survey of methods and applications , 2012 .