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250                                                 PART 3      Managing with the MRP System


        ity scheme lacks integrity, shop people soon discover this and revert to the traditional
        expediting/shortage-list approach. This is tantamount to collapse of the priority system.


                                     Dependent Priority

        The integrity of priorities derives from the MPS, and there are basically two ways in which
        this integrity may be compromised. The MPS may contain end items that are either not
        actually needed at the time indicated or cannot be produced as scheduled for lack of mate-
        rial or components (lack of capacity results in lack of components). The effect of this
        becomes evident when the concept of dependent priority is considered. This concept per-
        tains to the real priority (What is really needed when?) as opposed to the formal priority
        (What priority did the system assign to the order?), which may not necessarily be the same.
             The concept of priority dependence recognizes that the real priority of an order
        depends on the availability, or lack of availability, of some other inventory item(s) at the
        time of order completion. For example, the supply of product A, which is shipped from
        stock, is forecast to run out in week X. The due date of an order for component item B is
        week X – 1, allowing time to assemble a quantity of product A and replenish its stock in
        week X. If sales lag and the product is still in ample supply as the component order nears
        completion, the real priority of the order is lower than its due date indicates.
             This can be thought of as vertical priority dependence because the real priority in this
        case is a function of availability of an item (or items) on a higher level in the product
        structure. This concept was introduced in 1964 by means of a new technique for the
                                                                1
        dynamic updating of operation priorities called critical ratio. This technique (as original-
        ly formulated) does not rely on due dates and establishes relative priorities by comput-
        ing the value of the critical ratio for the next operation to be performed on every open
        shop order as follows:
             Ratio A   quantity on hand/order point              For example, 50/100   0.50
             Ratio B   lead time for balance of work/total lead time  For example, 14/25   0.56
             Critical ratio   ratio A/ratio B   0.50/0.56   0.89
             Ratio A, the disparity between the order-point quantity and the quantity of stock on
        hand, is used as a measure of need. Ratio B, the disparity between the amount of time
        that was scheduled to be available for operations not yet completed and the total planned
        lead time, is used as a measure of response to that need. Ratio A represents the percent-
        age of stock depletion; ratio B, the percentage of work completion.
             A critical ratio value of 1.00 signifies that work on the order has kept pace with the
        rate of stock depletion—the order is “on schedule.” A value lower than 1.00 indicates that
        the pace of work completion lags behind the rate of demand (the order is “behind sched-
        ule”), and a value higher than 1.00 indicates the opposite (“the order is ahead of sched-
        ule”). The lower the value of the critical ratio, the higher is the priority of the job.


        1  A. O. Putnam, “How to Prevent Stockouts,” American Machinist 108(4), 1964.
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