Authors
Qiaoming Han, Donglei Du, Luis F Zuluaga
Publication date
2014/6
Journal
Operations Research
Volume
62
Issue
3
Pages
535-542
Publisher
INFORMS
Description
Scarf's max-min order formula for the risk-neutral and ambiguity-averse newsvendor problem is a classical result in the field of inventory management. In this article, we extend Scarf's formula by deriving an analogous closed-form order formula for the risk- and ambiguity-averse newsvendor problem. Specifically, we provide and analyze the newsvendor order quantity that maximizes the worst-case expected profit versus risk trade-off (risk-averse) when only the mean and standard deviation of the product's demand distribution are known (ambiguity-averse), and the risk is measured by the standard deviation of the newsvendor's profit. We provide both analytical and numerical results to illustrate the combined effect of considering risk aversion and ambiguity aversion in computing the newsvendor order.
Total citations
2014201520162017201820192020202120222023202423325156685