Motivated by the popularity of VaR measure in financial applications, we study the classical newsvendor problem with Value-at-Risk (VaR) consideration and price-dependent demands. We first investigate the problem's structural properties and derive analytically the optimal joint stocking and pricing decisions. We then explore the difference between the optimal decisions under the VaR formulation and the classical expected profit-maximization model. Finally, we reveal an interesting analytical relationship between the inventory service level and the VaR measure. Insights are generated.
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Chiu et al. (2010) studied this question.
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