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Table 16-6 Average Run Length (ARL) for an X Chart with 3-Sigma Control Limits Magnitude of Process Shift 0 0.5 1.0 1.5 2.0 3.0 ARL n 1 370.4 155.2 43.9 15.0 6.3 2.0 ARL n 4 370.4 43.9 6.3 2.0 1.2 1.0

var re:RegExp = /I have a \$5 bill \& his\/her ID card\./;

That is, the control chart will require two samples to detect the process shift, on the average, so two hours will elapse between the shift and its detection (again on the average). Suppose this approach is unacceptable, because production of piston rings with a mean diameter of 74.0135 millimeters results in excessive scrap costs and delays nal engine assembly. How can we reduce the time needed to detect the out-of-control condition One method is to sample more frequently. For example, if we sample every half hour, only one hour will elapse (on the average) between the shift and its detection. The second possibility is to increase the sample size. For example, if we use n 10, the control limits in Fig. 16-3 narrow to 73.9905 and 74.0095. The probability of X falling between the control limits when the process mean is 74.0135 millimeters is approximately 0.1, so p 0.9, and the out-of-control ARL is ARL 1 p 1 0.9 1.11

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At a minimum, you must escape the following characters to ensure that they will be interpreted literally:

Thus, the larger sample size would allow the shift to be detected about twice as quickly as the old one. If it became important to detect the shift in the rst hour after it occurred, two control chart designs would work:

Channel applies to the local data pool of the task instance. The negation qualifier excludes the local data pool, and can be used in conjunction with other qualifiers (see Section 2.3.3 for an example). Channel includes all nodes within the n-hop neighborhood of the node hosting the task instance Channel includes all nodes within a distance d of the node hosting the task instance Channel includes the k nearest nodes of the node hosting the task instance The input (output) channel includes the the set of nodes that host the k nearest producers (consumers) of the data item associated with this channel Channel includes all nodes in the system

The forward slash is added to this list, of course, if you are declaring a regular expression literally, because the forward slash marks the beginning and end of the expression. There are also several escape characters that are written with a sequence but represent a different character than the character after the slash. These were covered in 6 and are summarized here in Table 12-1.

Table 16-6 provides average run lengths for an X chart with 3-sigma control limits. The average run lengths are calculated for shifts in the process mean from 0 to 3.0 and for sample sizes of n 1 and n 4 by using 1 p, where p is the probability that a point plots outside of the control limits. Figure 16-18 illustrates a shift in the process mean of 2 .

TABLE 12-1

+ 2

EXERCISES FOR SECTION 16-9

Backspace Form feed. This ejected the page currently in the printer back in the day. Newline, aka LF. The line separator on UNIX machines and Mac OS X is \n Carriage return, aka CR. The line separator in Windows is \r\n and on old Mac OS is \r. Tab. The Unicode character with character code nnnn in hexadecimal. For example, \u20ac is character U+20AC, the Euro sign ( ). The ASCII character with the character code nn in hexadecimal. For example, \xa3 is ASCII character 0xA3, the pound sign ( ).

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