Title
Newsvendor solutions via conditional value-at-risk minimization
Abstract
In this paper, we consider the minimization of the conditional value-at-risk (CVaR), a most preferable risk measure in financial risk management, in the context of the well-known single-period newsvendor problem, which is originally formulated as the maximization of the expected profit or the minimization of the expected cost. We show that downside risk measures including the CVaR are tractable in the problem due to their convexity, and consequently, under mild assumptions on the probability distribution of products’ demand, we provide analytical solutions or linear programming (LP) formulation of the minimization of the CVaR measures defined with two different loss functions. Numerical examples are also exhibited, clarifying the difference among the models analyzed in this paper, and demonstrating the efficiency of the LP solutions.
Year
DOI
Venue
2007
10.1016/j.ejor.2006.03.022
European Journal of Operational Research
Keywords
Field
DocType
Risk management,Newsvendor problem,Conditional value-at-risk (CVaR),Mean-risk model,Convex optimization
Financial risk management,Mathematical optimization,Newsvendor model,Downside risk,Linear programming,Risk measure,Operations management,Maximization,Mathematics,Expected shortfall,CVAR
Journal
Volume
Issue
ISSN
179
1
0377-2217
Citations 
PageRank 
References 
52
2.17
2
Authors
2
Name
Order
Citations
PageRank
Jun-Ya Gotoh111710.17
Yuichi Takano2573.96