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Inventory and Variation    43


                       We only hold the inventory we need to protect
                    sales. There is a relationship between the amount of
                                                                  Point of Clarity The  only
                    inventory and the volume of sales. So in a nutshell, if
                    we know the sales volume and can understand the   eco nomic purpose of inven-
                    relationship, we could calculate the inventory we   tory is to protect sales.
                    need to protect those sales. The relationship is a sim-
                    ple mathematical calculation, but just how is that calculation made?
                       First, let’s address finished goods inventory. This inventory calculation has three
                    parameters—and not surprisingly, there are three types of inventory. The three param-
                    eters are:
                        •  Stock replenishment volume (that is, the picked-up volume by the customer)
                        •  External variations, usually demand fluctuations
                        •  Internal variations, usually production issues
                       The total inventory is the sum of the three types of inventory, which are:

                    Cycle stocks
                    This is the volume you need on hand to take care of the normal demand pickups by
                    your customer, often this is called stores.
                        •  For example, if your customer picks up each Wednesday, you will need their
                           ordered volume ready for pickup then—and not before. Unfortunately, the infor-
                           mation handling system, production, and the delivery system are not instan-
                           taneous, so we need some volume in cycle stock that is above the bare minimum
                           the customer will pick up. So, to make sure you can achieve the customer’s needs,
                           we will calculate the cycle stock’s volume to be the production rate multiplied by
                           the replenishment time plus some arbitrary safety factor we will call Alpha (see
                           the section “Finished Goods Inventory Calculations” later in this chapter). The
                           stock replenishment time (see Fig. 3-1) is the sum of four variables:


                                          Replenishment time RT = t plan + t q  +t prod  + t del


                           Planning time, t plan


                                                                         Kanban post








                                                        Delivery time t del
                                             Production
                            Heijunka            cell                            Customer
                                          Production time t Prod
                          Queue time, t q
                    FIGURE 3-1  Replenishment time.
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