### Control Charts for Monitoring the Zero-Inflated Generalized Poisson Processes

#### Abstract

This paper developed the *c-Chart* based on the Zero-Inflated Generalized Poisson (*ZIGP*) processes. We called the *c-Chart* based on *ZIGP** *distribution* *the *c _{G}*

*-Chart*. We first develop the control limits of

*c*

_{G}*-Chart*by using the expected and variance of

*ZIGP*

*distribution; namely*

*c*

_{ZG}*-Chart*.

*We then develop an approximated*

*ZIGP*

*distribution*

*by a geometric distribution with parameter*

*p*. The

*p*estimated the fit for

*ZIGP*distribution used in calculating the expected skewness and variance of geometric distribution for constructing the control limits of

*c*

_{G}*-Chart;*namely

*c*

_{G}

_{g}*-Chart*,

*c*

_{G}

_{k}*-Chart*and also to study the effects of the cumulative count of conforming items chart (

*CCC-Chart*) which is used for monitoring a

*ZIGP*process we call

*CCC*. For

_{g}-Chart*c*

_{G}

_{g}*-Chart*, we developed

*c*

_{G}*-Chart*by using the expected and variance of the geometric distribution. For

*c*

_{G}

_{k}*-Chart*, the skewness and variance were used for constructing the control limits. The

*CCC*developed control limits of

_{g}-Chart*CCC-Chart*from the

*p*estimation of geometric distribution. The performance considered the Average Run Length and Average Coverage Probability. We found that for an in-control process, the

*CCC*is superior for all levels of the mean , proportion zero , mean shift and over dispersion . For an out-of-control process, the

_{g}-Chart*c*

_{G}

_{g}*-Chart*is the best for mean = 1 at low proportion zero for all mean shift and over dispersion. The

*c*

_{G}

_{k}*-Chart*is the best for mean = 2 at all parameters and for mean = 3, 4 at high proportion zero for all mean shift and over dispersion. The

*c*

_{ZG}*-Chart*is the best for mean = 3 at low proportion zero and mean = 4 at high proportion zero for all mean shift and over dispersion.

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