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Six Sigma for Electronics Design and Manufacturing
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                         Table 4.2 Yield calculation in a line with n parts in a three-step production line
                                                                 B
                                                                            C
                     Process steps
                                                     A
                                                Y(A)
                     Yield for each step
                                                a
                                                                b
                                                                          c
                     DPU at each process step
                                                                          e
                                                                e
                                                 –na
                                                                          –nc
                                                e
                     Process yield (FTY) in each step
                                                                –nb
                                                    n
                     Or process yield (FTY) in each step
                                                                (1 – b)
                                                                          (1 – a)
                                                (1 – a)
                                                Y{A}· Y{B}· Y{C}
                     Total process yield Y T
                                                 –n(a+b+c)
                     Or use FTY {total}
                                                e
                     4.3.1 Determining first-time yield at the electronic  Y(B)  n  Y(C)  n
                     product turn-on level
                     The  electronic  products  being  developed  today  are  more  complex
                     than previous products. The number of components on each printed
                     circuit  board  (PCB)  is  increasing,  as  well  as  the  total  number  of
                     PCBs  in  the  product.  In  the  following  example,  the  effects  of  these
                     complexities on the final product turn-on will be demonstrated. The
                     historical quality level that sustained the production process for old-
                     er products is not adequate for new complex products. The in-process
                     manufacturing quality of components and PCBs will have to be im-
                     proved  significantly  to  counteract  the  increased  number  of  assem-
                     blies and components.
                     4.3.2  Example of yield calculations at the PCB
                     assembly level
                     The defect rate for new PCBs is usually calculated based on process
                     observations for existing PCBs. Assuming a PCB with through-hole
                     technology, defects are usually obtained from three sources: incoming
                     materials and components; assembly defects of missing, wrong, or re-
                     versed components; and soldering or termination defects. If it is as-
                     sumed that each component has 2.5 solder connections per PCB, the
                     quality level for multiple component PCBs can be calculated as fol-
                     lows, assuming reasonable PCB assembly process quality:
                        Solder defect rate DPU = 100 PPM
                        Component assembly defect rate DPU = 500 PPM
                        Incoming component defect rate DPU = 300 PPM
                       Assuming 2.5 solder connections per component, what is the total
                     process yield at the PCB test level for 100, 500, and 1000 component
                     PCBs?
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