Economic Lot Size Determination in Multistage Assembly Systems

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Economic Lot Size Determination in Multistage Assembly Systems
Wallace B S Crowston
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We wish to emphasize that the assumption of a time-variant lot size for each stage is quite strong. The possibility of cyclic lot sizes, for example, is thus eliminated. The restriction may be justified, in some cases, by the costs of administering changing lot sizes. In any event. Theorem 1 leads to computationally powerful algorithms for finding the optimum in a class of easily implemented solutions. Given the results 10 of Theorem 1, we now derive expressions for the total costs of a particu
...lar solution k. -', Q^.
IV. THE COST STRUCTURE If all lot sizes within the system were equal, then, given assump- tion 5, inventory would only be held at the final stage. However, if Q_ ?* Q / \ then installation stock is created at F and the average level of such inventory is a complicated function of Q and Q, ^ . In Figure 3 we show the installation stock at each stage of a 3-stage serial production process with Q. = 6Q- and Q„ = 2Q„. In Figure 4 the echelon stock for each stage of the system is shown to form the familiar saw- tooth pattern of the ordinary Wilson lot size formula.


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