Asymmetry and Ambiguity in Newsvendor Models

Published Online:https://doi.org/10.1287/mnsc.2017.2773

References

  • Andersson J, Jörnsten K, Nonås SL, Sandal L, Ubøe J (2013) A maximum entropy approach to the newsvendor problem with partial information. Eur. J. Oper. Res. 228(1):190–200.CrossrefGoogle Scholar
  • Ardestani-Jaafari A, Delage E (2016) Robust optimization of sums of piecewise linear functions with application to inventory problems. Oper. Res. 64(2):474–494.LinkGoogle Scholar
  • Ben-Tal A, Hochman E (1976) Stochastic programs with incomplete information. Oper. Res. 24(2):336–347.LinkGoogle Scholar
  • Ben-Tal A, den Hertog D, Waegenaere AD, Melenberg B, Rennen G (2013) Robust solutions of optimization problems affected by uncertain probabilities. Management Sci. 59(2):341–357.LinkGoogle Scholar
  • Bertsimas D, Popescu I (2002) On the relation between option and stock prices: A convex optimization approach. Oper. Res. 50(2):358–374.LinkGoogle Scholar
  • Bertsimas D, Doan XV, Natarajan K, Teo C (2010) Models for minimax stochastic linear optimization problems with risk aversion. Math. Oper. Res. 35(3):580–602.LinkGoogle Scholar
  • Bimpikis K, Markakis M (2016) Inventory pooling under heavy-tailed demand. Management Sci. 62(6):1800–1813.LinkGoogle Scholar
  • Chen L, He S, Zhang S (2011) Tight bounds for some risk measures, with applications to robust portfolio selection. Oper. Res. 59(4):847–865.LinkGoogle Scholar
  • Chevalier J, Goolsbee A (2003) Measuring prices and price competition online: Amazon.com and BarnesandNoble.com. Quant. Marketing Econom. 1(2):203–222.CrossrefGoogle Scholar
  • Delage E, Ye Y (2010) Distributionally robust optimization under moment uncertainty with application to data-driven problems. Oper. Res. 58(3):595–612.LinkGoogle Scholar
  • De Schepper A, Heijnen B (2007) Distribution-free option pricing. Insurance: Math. Econom. 40(2):179–199.CrossrefGoogle Scholar
  • Gaffeo E, Scorcu AE, Vici L (2008) Demand distribution dynamics in creative industries: The market for books in Italy. Inform. Econom. Policy 20(3):257–268.CrossrefGoogle Scholar
  • Gallego G, Moon I (1993) The distribution free newsboy problem: Review and extensions. J. Oper. Res. Soc. 44(8):825–834.CrossrefGoogle Scholar
  • Gorissen BL, den Hertog D (2013) Robust counterparts of inequalities containing sums of maxima of linear functions. Eur. J. Oper. Res. 227(1):30–43.CrossrefGoogle Scholar
  • Han Q, Du D, Zuluaga LF (2014) A risk and ambiguity-averse extension of the max-min newsvendor order formula. Oper. Res. 62(3):535–542.LinkGoogle Scholar
  • Hanasusanto GA, Kuhn D, Wallace SW, Zymler S (2014) Distributionally robust multi-item newsvendor problems with multimodal demand distributions. Math. Programming 152(1):1–32.Google Scholar
  • Isii K (1962) On the sharpness of Tchebyshev-type inequalities. Ann. Institute Statist. Math. 14(1):185–197.CrossrefGoogle Scholar
  • Jansen K, Haezendonck J, Goovaerts MJ (1986) Upper bounds on stop-loss premiums in case of known moments up to the fourth order. Insurance: Math. Econom. 5(4):315–334.CrossrefGoogle Scholar
  • Levi R, Perakis G, Uichanco J (2012) Regret optimization for stochastic inventory models with spread information. Working paper, Massachusetts Institute of Technology, Cambridge, MA.Google Scholar
  • Levi R, Perakis G, Uichanco J (2015) The data-driven newsvendor problem: New bounds and insights. Oper. Res. 63(6):1294–1306.LinkGoogle Scholar
  • Markowitz HM (1959) Portfolio Selection: Efficient Diversification of Investments (John Wiley & Sons, New York).Google Scholar
  • Natarajan K, Teo CP (2017) On reduced semidefinite programs for second order moment bounds with applications. Math. Programming 161(1):487–518.CrossrefGoogle Scholar
  • Natarajan K, Sim M, Uichanco J (2010) Tractable robust expected utility and risk models for portfolio optimization. Math. Finance 20(4):695–731.CrossrefGoogle Scholar
  • Numpacharoen K, Atsawarungruangkit A (2012) Generating correlation matrices based on the boundaries of their coefficients. PLoS One 7(11):e48902.CrossrefGoogle Scholar
  • Perakis G, Roels G (2008) Regret in the newsvendor model with partial information. Oper. Res. 56(1):188–203.LinkGoogle Scholar
  • Saghafian S, Tomlin B (2016) The newsvendor under demand ambiguity: Combining data with moment and tail information. Oper. Res. 64(1):167–185.LinkGoogle Scholar
  • Scarf H (1958) A min-max solution of an inventory problem. Arrow KJ, Karlin S, Scarf H, eds. Studies in the Mathematical Theory of Inventory and Production (Stanford University Press, Palo Alto, CA), 201–209.Google Scholar
  • Wiesemann W, Kuhn D, Sim M (2014) Distributionally robust convex optimization. Oper. Res. 62(6):1358–1376.LinkGoogle Scholar
  • Yue J, Chen B, Wang M-C (2006) Expected value of distribution information for the newsvendor problem. Oper. Res. 54(6):1128–1136.LinkGoogle Scholar
  • Zhu Z, Zhang J, Ye Y (2013) Newsvendor optimization with limited distribution information. Optim. Methods Software 28(3):640–667.CrossrefGoogle Scholar
  • Zhu Z, Zhang J, Ye Y (2016) Likelihood robust optimization for data-driven problems. Comput. Management Sci. 13(2):241–261.CrossrefGoogle Scholar
  • Zuluaga LF, Peña J, Du D (2009) Third-order extensions of Lo’s semiparametric bound for European call options. Eur. J. Oper. Res. 198(2):557–570.CrossrefGoogle Scholar
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