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
A minimum handling effort would again require a block of cells IV'IA long, W'lB wide, and W'lC high with W = ^(KABC) In short the procedure is the same as described in Chapter 4. 10. Unfortunately it is difficult to imagine a real warehouse in which each cell is directly accessible from any other cell. Even if space or building costs were nil, such a layout would require free-standing racking, each rack being exactly 1 cell long and wide, and Z cells high, the cost of such racking would be significantly higher than the more usual arrangements, such as that in Fig.
There is also a hybrid case, where commodities are transferred in quantities required for a number of orders to a marshalling area, and sequential order picking takes place there. This method is often found in warehouses of the pallet rack type, where the lowest cells are used as "live" store, from which sequential picking takes place, whilst the rest of the warehouse is in effect one in which unit of input equals unit of output. 5. Total average handling effort under parallel picking is, of course, equal to handling effort within a warehouse, where input and output units are equal, plus the effort required to distribute each commodity to a set of orders.
5. 6a) is the criterion for layout. 6a) leads one to believe that more often than not Δ will be negative. On the other hand, in a multicommodity warehouse, it is questionable whether the only possible decision is: either separate all commodities or store all together. It is far more practicable to investigate APPLICABILITY OF THE SIMPLE MODEL 27 which of the commodities ought to be stored together, which separate, and where. Thus the Δ is calculated in a step-wise fashion. e. Δ = f f i o A Υ*ΜΧ + (a2ß2)mM2 - (M, + Μ2)(αφ1 + α2β2)1/3] + α11/3Μ2.
A Mathematical Model for Handling in a Warehouse by E. Kay, R Brown, G. Chandler and W. A. Davis (Auth.)