Chapter 5 Control Charts for Variables

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Chapter 5Control Charts for Variables

• ?????? ?????????

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Learning objective

• ???????????????????????????????????????????????
  Control charts ???? Variable
• ???????????? Control charts ???? Variable ???
• ??????????????????? ??? ??? R chart ???
• ??????????????? process capability
  ?????????????????????????????????? control chart
  ???
• ??????????????????? ??? ??? s chart ???
• ??????????????????? ??? MR chart ???

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Introduction

• ????????????????????????????????? numerical
  measurement ???????? ??? diameter ??? bearing ,
  ???????, ?????????, ????????, ??????? ???????????
  variable
• ????????????????????????????????????????????????
  ??? ????????????????????????????
• ??????????????????????????????????? ??? control
  chart ??????????? x bar chart
• ???????????????????????????????????? ??? control
  chart ??????????? R chart ???? s chart
• ????????? ??? ??????????????????????
  ????????????????????? ??????????????????????

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Introduction
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Control chart for x bar and R chart
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Control chart for x bar and R chart

• ???????????? ????? 5-1 ?????????????
  upper ??? lower control limit ???????????????
  3
• ???????????????????????????? ???
  ??????????????????? ????????????????????????
  ?????????????
• ???????????????????????????? ????????
  ????????????????????????????????????????? ????
  Subgroups ????????????????????? 20 ??? 25
  ?????????????
• m ??? ??????????????????????????????
• n ??? ????? observation (?????????)
  ????????????????????? ????????? n ????????????
  ?????? 4, 5 ,6
• ?????????????????????????????????????????? ()
  ???????????????????????????????? (x)

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Subgroup Data with Unknown ? and ?
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Application of and R Charts

• ????? 5-4 ???????? 5-5 ????????? trial control
  limits
• ??????????? m ?????????????????????????? samples
  ?????????
• ????????? 20-25 subgroups ??????? n ??????????? 3
  ??? 5
• ?????????????? out-of-control ????????????????
  trial control limits ??????????????????????????

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Application of and R Charts

• ??????????? out-of-control ?????????????????
  assignable causes
• ??? assignable causes ?????????????
  ???????????????????????????????????? ??? revise
  ?????? trial control limits
• ???????????????????????????????????? plot in
  control
• ???????????????? trial control limits
  ??????????????????????????

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Application of and R Charts

• ??? assignable cause ?????????????????????????????
  ???????? ???????????????????????
  ????????????????? 2 ????
• ???????????? ????? ?????????????????????
  assignable cause ??? revise limits
• ?????????????? ???????????????????????????????????
  ? control chart
• ?????????? ??????? out-of-control
  ?????????????????????????????????????????????????
  patterns ??????? ?????????????????????????????????
  ????????????? process problems

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Revise control limit
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Revise control limit
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???????????? process capability

• x bar ??? R chart ????????????????????????????????
  ?????????????????????? ??? ? and ?
• x bar ??? R chart ??????????????????? performance
  of process(???????????????????) ??? capability
  process
• ?????????????????????????????????? nonconforming
  ???????????????????????????

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???????????? process capability

• ?????? lower and upper natural tolerance limit
• UNTL ? 3?
• LNTL ? - 3?

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?????????????????? Sample Size ?? Chart

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