Average fill rate and horizon length

Authors:
Arunava Banerjee;Anand Paul
Affiliations:
Computer and Information Science and Engineering, CSE Building E336, University of Florida, Gainesville, FL 32611-6120, USA;Decision and Information Sciences, 351 Stuzin, Warrington College of Business, University of Florida, Gainesville, FL 32611-7150, USA
Venue:
Operations Research Letters
Year:
2005

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On the single item fill rate for a finite horizon

Operations Research Letters

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Abstract

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.