Ambiguous Joint Chance Constraints Under Mean and Dispersion Information
Published Online:30 Mar 2017https://doi.org/10.1287/opre.2016.1583
References
- (2007) A screening technique for joint chance-constrained programming for air-quality management. Oper. Res. 55(4):792–798.Link, Google Scholar
- (2009) Duality in robust optimization: Primal worst equals dual best. Oper. Res. Lett. 37(1):1–6.Crossref, Google Scholar
- (2000) Robust solutions of linear programming problems contaminated with uncertain data. Math. Programming A 88(3):411–424.Crossref, Google Scholar
- (2009) On safe tractable approximations of chance-constrained linear matrix inequalities. Math. Oper. Res. 34(1):1–25.Link, Google Scholar
- (2009) Robust Optimization (Princeton University Press, Princeton, NJ).Crossref, Google Scholar
- (2004) Optimal inequalities in probability theory: A convex optimization approach. SIAM J. Optim. 15(3):780–804.Crossref, Google Scholar
- (2004) The price of robustness. Oper. Res. 52(1):35–53.Link, Google Scholar
- (2002) Applications of semidefinite optimization in stochastic project scheduling. Technical Report, High Performance Comput. Engineered Systems, Singapore-MIT Alliance.Google Scholar
- (2013) Data-driven robust optimization. Preprint arXiv:1401.0212.Google Scholar
- (2009) A decision-analytic approach to reliability-based design optimization. Oper. Res. 57(5):1262–1270.Link, Google Scholar
- (2006) On distributionally robust chance-constrained linear programs. J. Optim. Theory Appl. 130(1):1–22.Crossref, Google Scholar
- (2002) Statistical Inference, 2nd ed. (Duxbury Thomson Learning, Pacific Grove, CA).Google Scholar
- (1959) Chance-constrained programming. Management Sci. 6(1):73–79.Link, Google Scholar
- (1958) Cost horizons and certainty equivalents: An approach to stochastic programming of heating oil. Management Sci. 4(3):235–263.Link, Google Scholar
- (2010) From CVaR to uncertainty set: Implications in joint chance-constrained optimization. Oper. Res. 58(2):470–485.Link, Google Scholar
- (2007) A robust optimization perspective on stochastic programming. Oper. Res. 55(6):1058–1071.Link, Google Scholar
- (2012) Linear matrix inequalities with stochastically dependent perturbations and applications to chance-constrained semidefinite optimization. SIAM J. Optim. 22(4):1394–1430.Crossref, Google Scholar
- (2007) Vehicle routing. Barnhart C, Laporte G, eds. Transportation Handbooks in Operations Research and Management Science, Vol. 14, Chap. 6 (North-Holland, Amsterdam, Netherlands), 367–428.Google Scholar
- (2010) Distributionally robust optimization under moment uncertainty with application to data-driven problems. Oper. Res. 58(3):595–612.Link, Google Scholar
- (2002) Project Scheduling—A Research Handbook (Kluwer Academic Publishers, Boston).Google Scholar
- (2009) Portfolio selection with robust estimation. Oper. Res. 57(3):560–577.Link, Google Scholar
- (2000) Optimal guaranteed return portfolios and the casino effect. Oper. Res. 48(5):768–775.Link, Google Scholar
- (1988) On the complexity of computing the volume of a polyhedron. SIAM J. Comput. 17(5):967–974.Crossref, Google Scholar
- (2003) Worst-case value-at-risk and robust portfolio optimization: A conic programming approach. Oper. Res. 51(4):543–556.Link, Google Scholar
- (2006) Ambiguous chance constrained problems and robust optimization. Math. Programming B 107(1–2):37–61.Crossref, Google Scholar
- (2014) Robust adaptive routing under uncertainty. Preprint arXiv:1408.3374.Google Scholar
- (1979) Computers and Intractability: A Guide to the Theory of NP-Completeness (W. H. Freeman, New York).Google Scholar
- (2011) The decision rule approach to optimisation under uncertainty: Methodology and applications in operations management. Accessed March 2017, http://www.optimization-online.org/DB_HTML/2011/12/3290.html.Google Scholar
- (2005) Second-order cone programming methods for total variation-based image restoration. SIAM J. Sci. Comput. 27(2):622–645.Crossref, Google Scholar
- (2014) Technical note–Deriving robust and globalized robust solutions of uncertain linear programs with general convex uncertainty sets. Oper. Res. 62(3):672–679.Link, Google Scholar
- (2010) Staffing call centers with uncertain demand forecasts: A chance-constrained optimization approach. Management Sci. 56(7):1093–1115.Link, Google Scholar
- (2015) Convex optimal uncertainty quantification. SIAM J. Optim. 25(3):1368–1387.Crossref, Google Scholar
- (2015) A distributionally robust perspective on uncertainty quantification and chance constrained programming. Math. Programming 151(1):35–62.Crossref, Google Scholar
- (2012) Kullback-Leibler divergence constrained distributionally robust optimization. Accessed March 2017, http://www.optimization-online.org/DB_HTML/2012/11/3677.html.Google Scholar
- (2013) Ambiguous probabilistic programs. Accessed March 2017, http://www.optimization-online.org/DB_HTML/2013/09/4039.html.Google Scholar
- (2016) Data-driven chance constrained stochastic program. Math. Programming 158(1):291–327.Crossref, Google Scholar
- (1991) Mean-absolute deviation portfolio optimization model and its applications to tokyo stock market. Management Sci. 37(5):519–531.Link, Google Scholar
- (2007) Biconvex sets and optimization with biconvex functions: A survey and extensions. Math. Methods Oper. Res. 66(3):373–407.Crossref, Google Scholar
- (2011) Regret optimization for stochastic inventory models with spread information. Technical Report, Massachusetts Institute of Technology.Google Scholar
- (2006) Noise estimation from a single image. Proc. IEEE Conf. Comput. Vision Pattern Recognition (IEEE Computer Society), 901–908.Google Scholar
- (2012) On safe tractable approximations of chance constraints. Eur. J. Oper. Res. 219(3):707–718.Crossref, Google Scholar
- (2006) Convex approximations of chance constrained programs. SIAM J. Optim. 17(4):969–996.Crossref, Google Scholar
- (2005) An iterative regularization method for total variation-based image restoration. Multiscale Modeling and Simulation 4(2):460–489.Crossref, Google Scholar
- (2013) Optimal uncertainty quantification. SIAM Rev. 55(2):271–345.Crossref, Google Scholar
- (2015) Exact robust counterparts of ambiguous stochastic constraints under mean and dispersion information. Accessed March 2017, http://www.optimization-online.org/DB_HTML/2015/06/4946.html.Google Scholar
- (1995) Stochastic Programming (Kluwer Academic Publishers, Dordrecht, Netherlands).Crossref, Google Scholar
- (1997) Convex Analysis (Princeton University Press, Princeton, NJ).Google Scholar
- (2001) On duality theory of conic linear problems. Goberna MÁ, López MA eds. Semi-Infinite Programming (Kluwer Academic Publishers, Dordrecht, Netherlands), 135–165.Crossref, Google Scholar
- (2009) Lectures on Stochastic Programming: Modelling and Theory (SIAM, Philadelphia).Crossref, Google Scholar
- (2010) Expectation and chance-constrained models and algorithms for insuring critical paths. Management Sci. 56(10):1794–1814.Link, Google Scholar
- (2007) Generalized Chebyshev bounds via semidefinite programming. SIAM Rev. 49(1):52–64.Crossref, Google Scholar
- (2016) Distributionally robust control of constrained stochastic systems. IEEE Trans. Automatic Control 61(2):430–442.Google Scholar
- (2007) The β-reliable median on a network with discrete probabilistic demand weights. Oper. Res. 55(5):966–975.Link, Google Scholar
- (2012a) Multi-resource allocation in stochastic project scheduling. Ann. Oper. Res. 193(1):193–220.Crossref, Google Scholar
- (2012b) Robust resource allocations in temporal networks. Math. Programming A 135(1):437–471.Crossref, Google Scholar
- (2013) Robust Markov decision processes. Math. Oper. Res. 38(1):153–183.Link, Google Scholar
- (2014) Distributionally robust convex optimization. Oper. Res. 62(6):1358–1376.Link, Google Scholar
- (2012) Optimization under probabilistic envelope constraints. Oper. Res. 60(3):682–699.Link, Google Scholar
- (2013) Safe approximations of ambiguous chance constraints using historical data. INFORMS J. Comput. 25(4):666–681.Link, Google Scholar
- (2013) Distributionally robust joint chance constraints with second-order moment information. Math. Programming A 137(1–2):167–198.Crossref, Google Scholar

