File:MATLABRChartForPairedXBarAndRChart.png

#!/usr/bin/perl -w

use strict;
use Math::Random;

my %shiftSchedule = (
    "first" =>  { "start" => 6.00, "end" => 14.00 },
    "second" => { "start" => 14.00, "end" => 22.00 },
    "third" =>  { "start" => 22.00, "end" =>  6.00 }
);
my $shift = "third";         # shift to monitor
my $inspectionRate = 1 / 2;  # every 1/2 hour
my $drift = 1.5;             # drift to simulate
my $m = 25;                  # samples in control chart setup
my $n = 3;                   # observations per sample
my $target = 100.0;          # quality characteristic target

my $hour;
my $i;
my $j;
my $minute;
my $observation;
my $setupM = $m;

#
# simulate control chart setup
#
open(SETUPCSV, ">xr_setup.csv") || die "! can't open \"xr_setup.csv\" ($!)\n";
for ($i = 1; $i <= $m; $i++) {
    for ($j = 0; $j < $n; $j++) {
        $observation = $target + random_normal();
		if ($j > 0) {
			print SETUPCSV ",";
		}
        printf SETUPCSV "%7.3f", $observation;
    }
	printf SETUPCSV "\r\n";
}
close(SETUPCSV);

#
# simulate control chart monitoring
#
open(MONITORINGCSV, ">xr_monitoring.csv") || die "! can't open \"xr_monitoring.csv\" ($!)\n";
$m = $shiftSchedule{$shift}{"end"} - $shiftSchedule{$shift}{"start"};
if ($m < 0) {
    $m += 24;
}
$m /= $inspectionRate;
for ($i = 1; $i <= $m; $i++) {
    $hour = int($i * $inspectionRate + $shiftSchedule{$shift}{"start"});
    if ($hour >= 24) {
        $hour -= 24;
    }
    $minute = ($i & 0x1) ? (60 * $inspectionRate) : 0;
    printf MONITORINGCSV "'%d:%02d'", $hour, $minute;
    for ($j = 0; $j < $n; $j++) {
        $observation = $target + random_normal();
        if ($i >= (0.25 * $m)) {
            if ($i < (0.75 * $m)) {
                $observation += ($drift / (0.5 * $m)) * ($i - (0.25 * $m));
            } else {
                $observation += $drift;
            }
        }
        printf MONITORINGCSV ",%7.3f", $observation;
    }
	printf MONITORINGCSV "\r\n";
}
close(MONITORINGCSV);