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Six Sigma and Manufacturing Control Systems
                        4. The  control  limits  should  not  be  recalculated  unless  there  is  a
                          change in the manufacturing process. Examples could be new ma-
                          terials,  machinery,  operators,  or  process  improvement  projects.
                          When a chart shows an out-of-control condition, the process should
                          be investigated and the reason for the problem identified on the
                          chart. Figure 3.5 shows a typical scenario of plotting a parameter
                          (in  this  case  the  surface  cleanliness  measurements  on  PCBs),
                          which was necessitated by a defective laminate lot. Note that the
                          new  lot  has  significantly  increased  the  resistance  value,  which
                          would necessitate recalculating the control limits.   81
                        5. In the X   chart, the upper and lower control limits are usually sym-
                                           – –
                          metrical around the X or the centerline, as shown in Figure 3.3. In
                          the case of a maximum specification, only one control limit is suffi-
                          cient. In the R   chart, symmetry is not necessary when the sample
                          size is less than 7, since D 3 (the control factor for the lower limit) is
                          equal to zero.
                        6. In  many  six  sigma  manufacturing  plants,  manufacturing  has
                          added additional information such as the specification limits, and
                          then calculated the Cp or Cpk on the control charts. This can easi-
                          ly be done, as shown in examples earlier in this chapter, by deriv-
                          ing   either from the R   or s calculation in step 2, using the formu-
                          las   = s ·  n  or   = R  /d 2 .
                        7. The most common indicator of out-of-control condition is that one
                          sample average is plotted outside the X   chart control limits, or one
                          sample range is outside the R chart control limits. If these observa-
                          tions are confined to one portion of the chart, then many other indi-
















                                  Figure 3.5 Surface cleanliness control chart example.
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