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: | Zhang Alex X. |
Keywords: | inventory |
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.