By E. Kay, R Brown, G. Chandler and W. A. Davis (Auth.)
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Extra resources for A Mathematical Model for Handling in a Warehouse
8. Imagine now the same operation with a μ = i, again starting from a stock equal to (2 — μ)Κ, that is HK, all equally old. During the first period issues will empty the nearest two-thirds of the cells, which will be filled at the start of the second period with new receipts. During the second period issues are taken first from the furthest onethird of cells and then from the nearest one-third. Receipts at the start of the third period go into the cells vacated during the second period, and issues are taken from the nearest two-thirds of cells, and so on (see Fig.
Thus, there will be a tendency for old stock to accumulate in the cells which are about average distance from origin. 15. The average maximum stock is given again as (2 — μ)Κ. The old stock which moves relatively rarely, 46 HANDLING IN A WAREHOUSE will on average be μΚ, and movement will take place in the space in front and behind this barrier of old stock, which is centred on the mean line of the cube of volume (2 — μ)Κ. (See Fig. ) I I I I I I FIG. 3. Shaded volume represents space in which on average no movement occurs under LIFO.
During the first replenishment period (2 — 2μ)Κ = %K units are issued and according to rule are taken from the nearest location, as the entire stock is of the same age. At the start of the second period %K units are received and go into the free locations. The IK issues, however, are taken from the further half of the store as they are older. At the start of the third period, the %K incoming stock units go into the locations vacated by issues during the second period, and issues during the third period are the receipts at the start of the second period.