A Robust Optimization Approach to Inventory Theory

Published Online:https://doi.org/10.1287/opre.1050.0238

References

  • Ben-Tal A., Nemirovski A. Robust convex optimization. Math. Oper. Res. (1998) 23:769–805LinkGoogle Scholar
  • Ben-Tal A., Nemirovski A. Robust solutions of uncertain linear programs. Oper. Res. Lett. (1999) 25:1–13CrossrefGoogle Scholar
  • Ben-Tal A., Nemirovski A. Robust solutions of linear programming problems contaminated with uncertain data. Math. Programming Ser. A. (2000) 88:411–424CrossrefGoogle Scholar
  • Bertsekas D.Dynamic Programming and Optimal Control (1995) Vol. 1(Athena Scientific, Belmont, MA) Google Scholar
  • Bertsekas D., Tsitsiklis J. N.Neuro-Dynamic Programming (1996) (Athena Scientific, Belmont, MA) Google Scholar
  • Bertsimas D., Popescu I. On the relation between option and stock prices: A convex optimization approach. Oper. Res. (2002) 50:358–374LinkGoogle Scholar
  • Bertsimas D., Sim M. Robust discrete optimization and network flows. Math. Programming Ser. B (2003) 98:48–71CrossrefGoogle Scholar
  • Bertsimas D., Sim M. The price of robustness. Oper. Res. (2004) 52:35–53LinkGoogle Scholar
  • Clark A., Scarf H. Optimal policies for a multi-echelon inventory problem. Management Sci. (1960) 6(4):475–490LinkGoogle Scholar
  • El Ghaoui L., Lebret H. Robust solutions to least-square problems to uncertain data matrices. SIAM J. Matrix Anal. Appl. (1997) 18:1035–1064CrossrefGoogle Scholar
  • El Ghaoui L., Oustry F., Lebret H. Robust solutions to uncertain semidefinite programs. SIAM J. Optim. (1998) 9:33–52CrossrefGoogle Scholar
  • Fu M. C. Sample path derivatives for (s, S) inventory systems. Oper. Res. (1994) 42:351–364LinkGoogle Scholar
  • Gallego G., Ryan J., Simchi-Levi D. Minimax analysis for finite-horizon inventory models. IIE Trans. (2001) 33:861–874CrossrefGoogle Scholar
  • Glasserman P.Gradient Estimation via Perturbation Analysis (1991) (Kluwer Academic Publishers, Boston, MA) Google Scholar
  • Glasserman P., Tayur S. Sensitivity analysis for base stock levels in multi-echelon production-inventory systems. Management Sci. (1995) 41:263–281LinkGoogle Scholar
  • Ho Y. C., Cao X. R.Discrete Event Dynamic Systems and Perturbation Analysis (1991) (Kluwer Academic Publishers, Boston, MA) CrossrefGoogle Scholar
  • Kapuscinski R., Tayur S., Tayur S., Ganeshan R., Magazine M. J. Optimal policies and simulation based optimization for capacitated production inventory systems. Quantitative Models for Supply Chain Management (1999) (Kluwer Academic Publishers, Boston, MA) . Chapter 2 inCrossrefGoogle Scholar
  • Kushner H., Clark D.Stochastic Approximation for Constrained and Unconstrained Systems (1978) (Springer-Verlag, New York) CrossrefGoogle Scholar
  • Lo A. Semiparametric upper bounds for option prices and expected payoffs. J. Financial Econom. (1987) 19:373–388CrossrefGoogle Scholar
  • Moon I., Gallego G. The distribution free newsboy problem: Review and extensions. J. Oper. Res. Soc. (1993) 44:825–834CrossrefGoogle Scholar
  • Moon I., Gallego G. Distribution free procedures for some inventory models. J. Oper. Res. Soc. (1994) 45:651–658CrossrefGoogle Scholar
  • Scarf H., Arrow K. J., Karlin S., Scarf H. E. A min-max solution of an inventory problem. Studies in the Mathematical Theory of Inventory and Production (1958) (Stanford University Press, Stanford, CA) 201–209Google Scholar
  • Soyster A. L. Convex programming with set-inclusive constraints and applications to inexact linear programming. Oper. Res. (1973) 21:1154–1157LinkGoogle Scholar
  • Zipkin P.Foundations of Inventory Management (2000) (McGraw-Hill Higher Education, Boston, MA) Google Scholar
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