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56                                                                  PART 2   Concepts


           TA B L E 4-2

           Probabilities of Simultaneous Availability
                                                     Service level
           Number of component items         90%                  95%

                   1                         0.900                0.950
                   2                         0.810                0.902
                   3                         0.729                0.857
                   4                         0.656                0.814
                   5                         0.590                0.774
                   6                         0.531                0.735
                   7                         0.478                0.698
                   8                         0.430                0.663
                   9                         0.387                0.630
                  10                         0.348                0.599
                  11                         0.313                0.569
                  12                         0.282                0.540
                  13                         0.254                0.513
                  14                         0.228                0.488
                  15                         0.206                0.463
                  20                         0.121                0.358
                  25                         0.071                0.260




        ments of the replenishment lot size. The underlying assumption of gradual inventory
        depletion at a steady rate will render the technique invalid when this basic premise is
        grossly unrealistic. In a manufacturing environment, where we deal with components of
        products, requirements typically are anything but uniform and depletion anything but
        steady.
             Inventory depletion tends to occur in discrete “lumps” owing to lot sizing for sub-
        sequent stages of manufacture. The example in Figure 4-1 shows this clearly. Here, the
        end item, its component, and the raw material are all on order point. These could be a
        simple wrench, the rough forging that it is made of, and the forging steel. Or they could
        be the transmission (if it were a shippable end product), the gearbox, and the gear from
        the preceding example.
             Wrenches (or transmissions) are not made in quantities of one. When an order is
        placed on the factory to produce a quantity of the end item (perhaps to replenish its
        stock), it is necessary to withdraw a corresponding quantity of the component. This will
        deplete the inventory of the component in one sudden stroke, sometimes driving it below
        the order point. When it does (as at the end of July in the example), the system will imme-
        diately reorder, necessitating a large withdrawal of the raw material. If its order point is
        thereby “tripped,” this material is also reordered.
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