메뉴 건너뛰기




Volumn 59, Issue 3, 2011, Pages 617-630

Sequential convex approximations to joint chance constrained programs: A Monte Carlo approach

Author keywords

Programming; Stochastic: chance constrained program

Indexed keywords

ASYMPTOTIC REGIMES; CHANCE-CONSTRAINED; CONVEX APPROXIMATION; CONVEX OPTIMIZATION PROBLEMS; GRADIENT BASED; KARUSH KUHN TUCKERS; MONTE CARLO APPROACH; PARAMETER UNCERTAINTY;

EID: 79960543321     PISSN: 0030364X     EISSN: 15265463     Source Type: Journal    
DOI: 10.1287/opre.1100.0910     Document Type: Article
Times cited : (165)

References (36)
  • 2
    • 0442266090 scopus 로고    scopus 로고
    • Robust solutions of linear programming problems contaminated with uncertain data
    • Ben-Tal, A., A. Nemirovski. 2000. Robust solutions of linear programming problems contaminated with uncertain data. Math. Programming 88(3) 411-424.
    • (2000) Math. Programming , vol.88 , Issue.3 , pp. 411-424
    • Ben-Tal, A.1    Nemirovski, A.2
  • 3
    • 3042762207 scopus 로고    scopus 로고
    • Price of robustness
    • Bertsimas, D., M. Sim. 2004. Price of robustness. Oper. Res. 52(1) 35-53.
    • (2004) Oper. Res. , vol.52 , Issue.1 , pp. 35-53
    • Bertsimas, D.1    Sim, M.2
  • 6
    • 0001064964 scopus 로고    scopus 로고
    • Estimating security price derivatives using simulation
    • Broadie, M., P. Glasserman. 1996. Estimating security price derivatives using simulation. Management Sci. 42(2) 269-285. (Pubitemid 126545101)
    • (1996) Management Science , vol.42 , Issue.2 , pp. 269-285
    • Broadie, M.1    Glasserman, P.2
  • 7
    • 12344268988 scopus 로고    scopus 로고
    • Uncertain convex programs: Randomized solutions and confidence levels
    • DOI 10.1007/s10107-003-0499-y
    • Calafiore, G., M. C. Campi. 2005. Uncertain convex programs: Randomized solutions and confidence levels. Math. Programming 102(1) 25-46. (Pubitemid 40134690)
    • (2005) Mathematical Programming , vol.102 , Issue.1 , pp. 25-46
    • Calafiore, G.1    Campi, M.C.2
  • 8
    • 33646902948 scopus 로고    scopus 로고
    • The scenario approach to robust control design
    • DOI 10.1109/TAC.2006.875041
    • Calafiore, G., M. C. Campi. 2006. The scenario approach to robust control design. IEEE Trans. Automatic Control 51(5) 742-753. (Pubitemid 43792636)
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.5 , pp. 742-753
    • Calafiore, G.C.1    Campi, M.C.2
  • 9
    • 0000512134 scopus 로고
    • Cost horizons and certainty equivalents: An approach to stochastic programming of heating oil
    • Charnes, A., W. W. Cooper, G. H. Symonds. 1958. Cost horizons and certainty equivalents: An approach to stochastic programming of heating oil. Management Sci. 4(3) 235-263.
    • (1958) Management Sci. , vol.4 , Issue.3 , pp. 235-263
    • Charnes, A.1    Cooper, W.W.2    Symonds, G.H.3
  • 10
    • 77951163089 scopus 로고    scopus 로고
    • From CVaR to uncertainty set: Implications in joint chance-constrained optimization
    • Chen, W., M. Sim, J. Sun, C.-P. Teo. 2010. From CVaR to uncertainty set: Implications in joint chance-constrained optimization. Oper. Res. 58(2) 470-485.
    • (2010) Oper. Res. , vol.58 , Issue.2 , pp. 470-485
    • Chen, W.1    Sim, M.2    Sun, J.3    Teo, C.-P.4
  • 11
    • 5544258192 scopus 로고    scopus 로고
    • On constraint sampling in the linear programming approach to approximate dynamic programming
    • de Farias, D. P., B. Van Roy. 2004. On constraint sampling in the linear programming approach to approximate dynamic programming. Math. Oper. Res. 29(3) 462-478.
    • (2004) Math. Oper. Res. , vol.29 , Issue.3 , pp. 462-478
    • De Farias, D.P.1    Van Roy, B.2
  • 12
    • 10044255579 scopus 로고    scopus 로고
    • Dual methods for probabilistic optimization problems
    • Dentcheva, D., B. Lai, A. Ruszczýnski. 2004. Dual methods for probabilistic optimization problems. Math. Methods Oper. Res. 60(2) 331-346.
    • (2004) Math. Methods Oper. Res. , vol.60 , Issue.2 , pp. 331-346
    • Dentcheva, D.1    Lai, B.2    Ruszczýnski, A.3
  • 14
    • 33644676038 scopus 로고    scopus 로고
    • Ambiguous chance constrained problems and robust optimization
    • DOI 10.1007/s10107-005-0678-0
    • Erdoǧan, E., G. Iyengar. 2006. Ambiguous chance constrained problems and robust optimization. Math. Programming 107(1) 37-61. (Pubitemid 43334013)
    • (2006) Mathematical Programming , vol.107 , Issue.1-2 , pp. 37-61
    • Erdogan, E.1    Iyengar, G.2
  • 16
    • 34547272635 scopus 로고    scopus 로고
    • Structural properties of linear probabilistic constraints
    • Henrion, R. 2007. Structural properties of linear probabilistic constraints. Optimization 56(4) 425-440.
    • (2007) Optimization , vol.56 , Issue.4 , pp. 425-440
    • Henrion, R.1
  • 17
    • 53349108647 scopus 로고    scopus 로고
    • Convexity of chance constraints with independent random variables
    • Henrion, R., C. Strugarek. 2008. Convexity of chance constraints with independent random variables. Comput. Optim. Appl. 41(2) 263-276.
    • (2008) Comput. Optim. Appl. , vol.41 , Issue.2 , pp. 263-276
    • Henrion, R.1    Strugarek, C.2
  • 18
    • 61449186343 scopus 로고    scopus 로고
    • Estimating quantile sensitivities
    • Hong, L. J. 2009. Estimating quantile sensitivities. Oper. Res. 57(1) 118-130.
    • (2009) Oper. Res. , vol.57 , Issue.1 , pp. 118-130
    • Hong, L.J.1
  • 19
    • 67649980327 scopus 로고    scopus 로고
    • Simulating sensitivities of conditional value-atrisk
    • Hong, L. J., G. Liu. 2009. Simulating sensitivities of conditional value-atrisk. Management Sci. 55(2) 281-293.
    • (2009) Management Sci. , vol.55 , Issue.2 , pp. 281-293
    • Hong, L.J.1    Liu, G.2
  • 20
    • 77951186786 scopus 로고    scopus 로고
    • Pathwise estimation of probability sensitivities through terminating or steady-state simulations
    • Hong, L. J., G. Liu. 2010. Pathwise estimation of probability sensitivities through terminating or steady-state simulations. Oper. Res. 58(2) 357-370.
    • (2010) Oper. Res. , vol.58 , Issue.2 , pp. 357-370
    • Hong, L.J.1    Liu, G.2
  • 22
    • 23844451412 scopus 로고    scopus 로고
    • Probabilistically constrained linear programs and risk-adjusted controller design
    • DOI 10.1137/S1052623403430099
    • Lagoa, C. M., X. Li, M. Sznaier. 2005. Probabilistically constrained linear programs and risk-adjusted controller design. SIAM J. Optim. 15(3) 938-951 (Pubitemid 41156923)
    • (2005) SIAM Journal on Optimization , vol.15 , Issue.3 , pp. 938-951
    • Lagoa, C.M.1    Li, X.2    Sznaier, M.3
  • 23
    • 67649566847 scopus 로고    scopus 로고
    • A sample approximation approach for optimization with probabilistic constraints
    • Luedtke, J., S. Ahmed. 2008. A sample approximation approach for optimization with probabilistic constraints. SIAM J. Optim. 19(2) 674-699.
    • (2008) SIAM J. Optim. , vol.19 , Issue.2 , pp. 674-699
    • Luedtke, J.1    Ahmed, S.2
  • 24
    • 38049062072 scopus 로고    scopus 로고
    • An integer programming approach for linear programs with probabilistic constraints
    • Luedtke, J., S. Ahmed, G. Nemhauser. 2007. An integer programming approach for linear programs with probabilistic constraints. Lecture Notes Comput. Sci. 4513 410-423.
    • (2007) Lecture Notes Comput. Sci. , vol.4513 , pp. 410-423
    • Luedtke, J.1    Ahmed, S.2    Nemhauser, G.3
  • 26
    • 0001155110 scopus 로고
    • Chance-constrained programming with joint constraints
    • Miller, L. B., H. Wagner. 1965. Chance-constrained programming with joint constraints. Oper. Res. 13(6) 930-945.
    • (1965) Oper. Res. , vol.13 , Issue.6 , pp. 930-945
    • Miller, L.B.1    Wagner, H.2
  • 27
    • 36248992411 scopus 로고    scopus 로고
    • Convex approximations of chance constrained programs
    • Nemirovski, A., A. Shapiro. 2006. Convex approximations of chance constrained programs. SIAM J. Optim. 17(4) 969-996.
    • (2006) SIAM J. Optim. , vol.17 , Issue.4 , pp. 969-996
    • Nemirovski, A.1    Shapiro, A.2
  • 28
    • 0003221224 scopus 로고    scopus 로고
    • Some remarks on the value-at-risk and the conditional value-at-risk
    • S. Uryasev, ed. Kluwer, Dordrecht, The Netherlands
    • Pflug, G. 2000. Some remarks on the value-at-risk and the conditional value-at-risk. S. Uryasev, ed. Probabilistic Constrained Optimization: Methodology and Applications. Kluwer, Dordrecht, The Netherlands.
    • (2000) Probabilistic Constrained Optimization: Methodology and Applications
    • Pflug, G.1
  • 29
    • 0001339642 scopus 로고
    • On probabilistic constrained programming
    • Princeton University Press, Princeton, NJ
    • Prékopa, A. 1970. On probabilistic constrained programming. Proc. Princeton Sympos. Math. Programming, Princeton University Press, Princeton, NJ, 113-138.
    • (1970) Proc. Princeton Sympos. Math. Programming , pp. 113-138
    • Prékopa, A.1
  • 30
    • 33745853047 scopus 로고    scopus 로고
    • Probabilistic programming
    • A. Ruszczynski, A. Shapiro, eds. Handbooks in Operations Research and the Management Sciences. Elsevier, Amsterdam
    • Prékopa, A. 2003. Probabilistic programming. A. Ruszczynski, A. Shapiro, eds. Stochastic Programming, Vol. 10. Handbooks in Operations Research and the Management Sciences. Elsevier, Amsterdam.
    • (2003) Stochastic Programming , vol.10
    • Prékopa, A.1
  • 31
    • 0018004515 scopus 로고
    • Serially linked reservoir system design using stochastic programming
    • Prékopa, A., T. Rapcsák, I. Zsuffa. 1978. Serially linked reservoir system design using stochastic programming. Water Resources Res. 14(4) 672-678. (Pubitemid 8631913)
    • (1978) Water Resources Research , vol.14 , Issue.4 , pp. 672-678
    • Prekopa Andras1    Rapcsak Tamas2    Zsuffa Istvan3
  • 32
    • 0002062038 scopus 로고    scopus 로고
    • Optimization of conditional valueat- risk
    • Rockafellar, R. T., S. Uryasev. 2000. Optimization of conditional valueat- risk. J. Risk 2(3) 21-41.
    • (2000) J. Risk , vol.2 , Issue.3 , pp. 21-41
    • Rockafellar, R.T.1    Uryasev, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.