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CHAPTER 8   Lot Sizing                                                          153


        of LUC will be larger than the carrying-cost element. The LTC technique, which seeks to
        equalize these elements, therefore is biased toward larger order quantities.


                               Part-Period Balancing (PPB)

        This technique employs the same logic as LTC, and its computation of order quantities is
                                                                           3
        identical except for an adjustment routine called  look-ahead/look-back. This feature is
        intended to prevent stock covering peak requirements from being carried for long peri-
        ods of time and to avoid orders being keyed to (i.e., starting coverage with) periods with
        low requirements. The adjustments are made only when the condition exists that the
        look-ahead/look-back corrects. In many cases, therefore, PPB and LTC will yield identi-
        cal results. This would be the case with the demand data used in the preceding examples,
        and in order to demonstrate look-ahead/look-back, it is necessary to use different series
        of net requirements. The look-ahead adjustment would be operative with the following
        net requirements schedule:
             Period:           1      2       3      4      5      6      7       8      9
             Net requirement: 20     40      30     10     40     30     35      20     40
             Planned orders:          X             X      →

             With an EPP of 100, the first lot of 90 would cover periods 1 through 3, and the next
        lot would be keyed to period 4. But before this is firmed up, a look ahead to period 5 is
        made. The 40 units in period 5 would have to be carried in inventory for one period,
        which would cost 40 part-periods. If the 10 units in period 4 were added to the first lot,
        they would be carried for three periods at a cost of 30 part-periods. It appears that it
        would be more economical to key the second lot to period 5. The complete planned-order
        schedule, adjusted for look-ahead, is shown in Figure 8-11.
             The look-ahead test is repeated for successive pairs of period demands until it fails.
        In our example, the second test (for periods 5 and 6) fails in that it would be more costly
        to carry 40 for four periods than 30 for one period. If this were not so, the lot would be
        keyed to period 6. To prevent the look-ahead feature from trying to overcome a steep
        upward trend in the demand (this would create very large order quantities and defeat the
        logic of LTC), an additional test is made. The part-period cost of the last period demand


           FIGURE 8-11
                                Period                1  2   3  4   5   6  7   8   9  Total
           Part-period
           balancing with       Net Requirements     20  40  30  10  40  30  35  20  40  265
           look-ahead.
                                        without look-ahead 90   80         95         265
                                Coverage
                                        with look-ahead  100       105        60      265


        3  J. J. DeMatteis, “An Economic Lot-Sizing Technique: The Part-Period Algorithms.” IBM Systems Journal. 7(1):30–38,
         1968.
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