Optimal advance payment scheme involving fixed per-payment costs

Optimal advance payment scheme involving fixed per-payment costs

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Article ID: iaor19971943
Country: United Kingdom
Volume: 24
Issue: 5
Start Page Number: 577
End Page Number: 582
Publication Date: Oct 1996
Journal: OMEGA
Authors:
Keywords: inventory
Abstract:

The advance payment scheme is used when a payment larger than the billed amount is made. The extra payment is effectively a cash deposit for credit towards bills in future periods. This study presents a model for determining the optimal cash deposit amount when there is a fixed per-payment cost; the model balances the tradeoff between the fixed payment cost with the lost interest on the cash deposit. The authors use a renewal theory approach to obtain the long-term expected total cost per period when the bill amounts in a future period are deterministic, exponentially distributed, normally distributed, or Poisson occurrence based with a constant per occurrence charge. For the first two cases, they obtain explicit expressions for the optimal deposit amount; for the latter two, they give numerical procedures. An example in each case is presented, along with a comparison with the usual pay-each-period strategy. The authors conclude that the advance payment strategy offers significant cost savings when the per-payment cost is relatively large compared with the lost interest of one period’s average bill amount; i.e. when interest rate is low or the average bill amount is small.

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