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Volumn 32, Issue 6, 2004, Pages 510-516

Robust linear optimization under general norms

Author keywords

Constraint violation; Dual norms; Linear programming; Norms; Robust optimization; Stochastic programming

Indexed keywords

CONSTRAINT THEORY; LINEAR PROGRAMMING; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; STOCHASTIC PROGRAMMING;

EID: 3042814297     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2003.12.007     Document Type: Article
Times cited : (396)

References (12)
  • 1
    • 0032207223 scopus 로고    scopus 로고
    • Robust convex optimization
    • Ben-Tal A., Nemirovski A. Robust convex optimization. Math. Oper. Res. 23(4):1998;769-805.
    • (1998) Math. Oper. Res. , vol.23 , Issue.4 , pp. 769-805
    • Ben-Tal, A.1    Nemirovski, A.2
  • 2
    • 0032664938 scopus 로고    scopus 로고
    • Robust solutions of uncertain linear programs
    • Ben-Tal A., Nemirovski A. Robust solutions of uncertain linear programs. Oper. Res. Lett. 25(1):1999;1-13.
    • (1999) Oper. Res. Lett. , vol.25 , Issue.1 , pp. 1-13
    • Ben-Tal, A.1    Nemirovski, A.2
  • 3
    • 0442266090 scopus 로고    scopus 로고
    • Robust solutions of linear programming problems contaminated with uncertain data
    • Ben-Tal A., Nemirovski A. Robust solutions of linear programming problems contaminated with uncertain data. Math. Program. A. 88:2000;411-424.
    • (2000) Math. Program. A , vol.88 , pp. 411-424
    • Ben-Tal, A.1    Nemirovski, A.2
  • 4
    • 0035351629 scopus 로고    scopus 로고
    • On polyhedral approximations of the second-order Cone
    • Ben-Tal A., Nemirovski A. On polyhedral approximations of the second-order Cone. Math. Oper. Res. 26(2):2001;193-228.
    • (2001) Math. Oper. Res. , vol.26 , Issue.2 , pp. 193-228
    • Ben-Tal, A.1    Nemirovski, A.2
  • 5
    • 0003878614 scopus 로고    scopus 로고
    • Lectures on modern convex optimization: Analysis, algorithms, and engineering applications
    • SIAM, Philadelphia
    • A. Ben-Tal and A. Nemirovski, Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications, MPR-SIAM Series on Optimization, SIAM, Philadelphia, 2001.
    • (2001) MPR-SIAM Series on Optimization
    • Ben-Tal, A.1    Nemirovski, A.2
  • 6
    • 23844499733 scopus 로고    scopus 로고
    • Optimal inequalities in probability theory: A convex optimization approach
    • to appear
    • D. Bertsimas, I. Popescu, Optimal inequalities in probability theory: a convex optimization approach, in SIAM J. Optim. 2004, to appear.
    • (2004) SIAM J. Optim.
    • Bertsimas, D.1    Popescu, I.2
  • 7
    • 3042762207 scopus 로고    scopus 로고
    • The price of robustness
    • Bertsimas D., Sim M. The price of robustness. Oper. Res. 52(1):2004;35-53.
    • (2004) Oper. Res. , vol.52 , Issue.1 , pp. 35-53
    • Bertsimas, D.1    Sim, M.2
  • 8
    • 0016972961 scopus 로고
    • Exact solutions of inexact linear programs
    • Falk J.E. Exact solutions of inexact linear programs. Oper. Res. 24:1976;783-787.
    • (1976) Oper. Res. , vol.24 , pp. 783-787
    • Falk, J.E.1
  • 9
    • 0031536271 scopus 로고    scopus 로고
    • Robust solutions to least-squares problems with uncertain data
    • El Ghaoui L., Lebret H. Robust solutions to least-squares problems with uncertain data. SIAM J Matrix Anal. Appl. 18(4):1997;1035-1064.
    • (1997) SIAM J Matrix Anal. Appl. , vol.18 , Issue.4 , pp. 1035-1064
    • El Ghaoui, L.1    Lebret, H.2
  • 10
    • 0032252302 scopus 로고    scopus 로고
    • Robust solutions to uncertain semidefinite programs
    • El Ghaoui L., Oustry F., Lebret H. Robust solutions to uncertain semidefinite programs. SIAM J. Optim. 9(1):1998;33-52.
    • (1998) SIAM J. Optim. , vol.9 , Issue.1 , pp. 33-52
    • El Ghaoui, L.1    Oustry, F.2    Lebret, H.3
  • 12
    • 0010680207 scopus 로고
    • Convex programming with set-inclusive constraints and applications to inexact linear programming
    • Soyster A.L. Convex programming with set-inclusive constraints and applications to inexact linear programming. Oper. Res. 21:1973;1154-1157.
    • (1973) Oper. Res. , vol.21 , pp. 1154-1157
    • Soyster, A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.