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On the unimodality of the manufacturer's objective function in the newsvendor model
Authors:Anand Paul
Affiliation:Decision and Information Sciences, 351 Stuzin, Warrington College of Business, University of Florida, Gainesville, FL 32611-7150, USA
Abstract:We derive new sufficient conditions for the manufacturer's profit function to be unimodal. We show that if the demand density function is unimodal and right-skewed, then the profit function is quasi-concave over the support of the distribution. We also report some counterintuitive properties of the profit function.
Keywords:Newsvendor model   Unimodality   Inventory models
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