| Article ID: | iaor200636 |
| Country: | Netherlands |
| Volume: | 33 |
| Issue: | 5 |
| Start Page Number: | 525 |
| End Page Number: | 530 |
| Publication Date: | Sep 2005 |
| Journal: | Operations Research Letters |
| Authors: | Paul Anand, Banerjee Arunava |
Given a sequence of independent and identically distributed demands and an order up to replenishment policy with negligible lead time, we prove that average fill rate is monotonically decreasing in the number of periods in the planning horizon. This was conjectured to be true in a recent issue of this journal.