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Production and Operations Management




                    Notes          The table shows that the learning curve is exponential. It also shows a difference in the reduction
                                   in time between Piper Aircraft Corporation and HAL. The reduction in time at HAL between the
                                   4th unit and the 20th unit is nearly 7900 direct hours and in the case of Piper, it is 1700 hours.
                                   The reason for this difference is that Piper already had programs where it was supplying CKD
                                   packs to Columbia, Brazil, Argentina, Poland and Chile. Therefore, Piper starts learning from a
                                   different point on the learning curve than would HAL, for whom the product is completely new.
                                   The learning curve will vary  on different programs. A table of percentages for each type of
                                   program can be developed by taking the ratio of the average hours for the total program to the
                                   average hours for the first half of the total units.


                                          Example: The average hours for 200 units are 80 hours, and the average hours for the first
                                   100 units were 100 hours each. Thus, 80/100 equals 80 per cent. This is an 80 per cent curve.

                                   Various curves are classified as 80 per cent, 86 per cent, 90 per cent, etc., curves. If an 80 per cent
                                   curve were plotted on arithmetic paper, we would expect a different-shaped  curve for each
                                   project. If it is plotted on log-log paper, all curves will be straight lines. Tables for the various
                                   percentage curves can be developed and so accurate figures can be calculated without using the
                                   more  complicated mathematical formulas.

                                   Self Assessment

                                   Fill in the blanks:
                                   13.  A learning curve is a line displaying the relationship between unit production time and
                                       ……………… of units produced.
                                   14.  The ……………… model is expressed in terms of the specific cost of producing the ‘x’th
                                       unit.

                                   15.  The  log-linear model  states that  the improvement  in productivity  is ………………  as
                                       output increases.

                                   8.6 Summary

                                      ‘Supply Chain Management’ is defined as  the integration-oriented  skills required for
                                       providing competitive advantage to the organization that are basis for successful supply
                                       chains.

                                      The objective of every supply chain is to maximize the overall value generated so that the
                                       final price of the good covers all of the costs involved plus a profit for each participant in
                                       the chain.
                                      Purchases represent about 55 percent of the cost of the finished product and purchasing is
                                       a major constituent of the supply chain.

                                      A make or buy decision should be viewed as an investment decision and should take into
                                       account considerations  other than  the economic factors like Technology, Quality,  and
                                       Timely  Delivery.
                                      Value Engineering is an organized creative technique directed at analyzing the functions
                                       of a product, service or system with the purpose of achieving the required functions at the
                                       lowest overall cost.
                                      Value Engineering starts with the classification and identification of a product, service or
                                       system.



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