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Logistics and Supply Chain Management




                    Notes          Third, the number of orders is divided into the relevant time period (e.g., fifty-two for weeks or
                                   twelve for months) to express the order quantity in time periods.
                                   To illustrate, let’s work with an EOQ of 300 and a forecast of 2,400. To adjust to a twelve-period
                                   year, the POQ technique would be as follows:
                                             EOQ = 300
                                          Forecast = 2400

                                   Orders per Year = 2400/300
                                                 = 8.00
                                     Order Interval = 12/8.00
                                                 = 1.5 Months
                                   Under the POQ application, orders are planned approximately every six  weeks. The typical
                                   order is 300 units unless usage deviates from planned quantity and requires a “catch-up” or
                                   “light” re supply order.

                                   The main advantage of the POQ approach is that it considers inventory-carrying cost and thereby
                                   minimizes inventory carryover. The disadvantage is that similar to the basic EOQ, POQ also
                                   requires stable demand to realize its full potential.


                                   Time-series Lot Sizing
                                   The fundamental objective of time-series lot sizing is  to combine requirements over several
                                   periods to arrive at procurement logic. The time-series approach is dynamic because the order
                                   quantity is adjusted to meet current requirement estimates. This is in contrast to basic EOQ,
                                   which is static in the sense that once the order quantity is computed, it continues unchanged for
                                   the demand-planning horizon.

                                   The key to dynamic lot sizing is that requirements are expressed in varying quantities across
                                   time rather than in usage rates per day or week, as is typical of the basic EOQ. Given substantial
                                   usage fluctuation, fixed order quantities are replaced by a lot sizing system that can calculate an
                                   economical order given  changing and intermittent usage.  Three such techniques are  widely
                                   discussed in the literature and are briefly reviewed here: least unit cost, least total cost, and part
                                   period balancing.

                                   Least Unit Cost

                                   It seeks to identify a  combination of requirements over a number of periods resulting in the
                                   lowest cost per SKU. Starting with initial period net requirements, each future period’s per unit
                                   requirements are evaluated to determine a combined quantity for a given number of periods in
                                   which the unit cost is minimized. The least-unit-cost approach essentially evaluates purchasing
                                   requirements in incremental number of weeks of supply into the future.
                                   The first week considers one week of supply. The analysis then considers adding a second week.
                                   Unit cost-including quantity discounts, ordering cost, inventory-carrying cost, and transportation
                                   cost-is evaluated for each option.
                                   While the discount, ordering, and transportation costs will cause average unit cost to decline as
                                   more periods are added, inventory-carrying cost will increase as more time periods are added
                                   because of the additional inventory. Thus,  order quantities  and  order  frequency will  vary
                                   substantially under the least-unit-cost technique. While this approach does provide a way to
                                   overcome the static features of EOQ and POQ, the technique may cause unit costs to vary widely
                                   between time periods.




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