Supply decisions for unknown linearly increasing demand

Supply decisions for unknown linearly increasing demand

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Article ID: iaor1991989
Country: Netherlands
Volume: 17
Issue: 1/4
Start Page Number: 389
End Page Number: 393
Publication Date: Aug 1989
Journal: Engineering Costs and Production Economics
Authors:
Keywords: inventory
Abstract:

The paper considers the problem of a supplier faced with unknown but deterministic future demand. It assumes that demand {Dt} increases linearly over time: Dt=D+αt. The supplier knows demand D in period 0 with certainty but is ignorant about the rate of increase α. In each period t he will supply a certain quantity St and as a consequence he gets information about demand. If there is a stockout (St•Dt), he only knows that he underestimated the trend α. If, on the other hand, supply exceeds demand (St>Dt), he knows exactly what demand was from the amount left over and from then onwards he will set supply equal to demand. In addition to the asymmetry in information feedback, the costs are asymmetric. The cost of oversupply is the production cost or unit cost price whereas the cost of undersupply is an opportunity cost of lost profits. The paper finds the min-max cost and the supplier’s optimal strategy.

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