mxspc {mxcc} | R Documentation |
V chart and VSQ chart Construction for Simulated Process Control
Description
This function constructs control limits for the V and VSQ control charts based on probability (PCL) or k-sigma (KCL) limits using simulated data from the Maxwell distribution. The function allows for flexible configuration of control chart types and limit methods.
Usage
mxspc(m = 25, n = 4, alpha = 0.0027, sigma,
limit = "PCL", chart = "V", summary = FALSE)
Arguments
m |
The number of subgroups or samples. Default is |
n |
The size of each sample or subgroup. Default is |
alpha |
The false alarm probability for control limit calculation. Default is |
sigma |
The scale parameter of the Maxwell distribution, which must be provided by the user. |
limit |
The type of control limit to be used: either "PCL" for probability limit control chart or "KCL" for k-sigma limit control chart. Default is |
chart |
The type of control chart to construct: either "V" for V chart or "VSQ" for VSQ chart. Default is |
summary |
Logical value indicating whether to display a summary of control chart parameters. Default is |
Details
The function simulates data from the Maxwell distribution using the provided scale parameter (sigma
) and calculates control limits and plotting statistics for the specified control chart type (V or VSQ). It allows for choosing between probability limit control charts and k-sigma control charts. The function does not generate a plot but returns all necessary values to construct the chart externally.
Value
A list of control chart parameters is returned invisibly, which includes:
-
v
: A vector of plotting statistics. -
a
: The matrix of simulated subgroup data. -
LCL
: The lower control limit (or probability limit). -
CL
: The center line of the control chart. -
UCL
: The upper control limit (or probability limit). -
m
: The number of subgroups. -
n
: The sample size for each subgroup. -
sigma
: The provided scale parameter for the Maxwell distribution. -
limit
: The type of limit used ("PCL" or "KCL"). -
chart
: The type of control chart ("V" or "VSQ").
Author(s)
Zahid Khan
References
Hossain, M.P., Omar, M.H. and Riaz, M. (2017) "New V control chart for the Maxwell distribution". Journal of Statistical Computation and Simulation, 87(3), pp.594-606. <doi:10.1080/00949655.2016.1222391>
Shah, F., Khan, Z., Aslam, M. and Kadry, S. (2021) "Statistical Development of the VSQ‐Control Chart for Extreme Data with an Application to the Carbon Fiber Industry". Mathematical Problems in Engineering, 2021(1), p.9766986. <doi:10.1155/2021/9766986>
See Also
Examples
mxspc(m = 30, n = 4, alpha = 0.0027, sigma = 1777.86,
limit="PCL", chart = "V",summary = TRUE)