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Volumn 227, Issue 1, 2013, Pages 30-43

Robust counterparts of inequalities containing sums of maxima of linear functions

Author keywords

Biaffine uncertainty; Robust conic quadratic constraints; Robustness and sensitivity analysis; Sum of maxima of linear functions

Indexed keywords

ABSOLUTE VALUES; BIAFFINE UNCERTAINTY; BRACHYTHERAPY; DECISION VARIABLES; INVENTORY MANAGEMENT; LINEAR FUNCTIONS; LINEAR INEQUALITIES; NUMERICAL EXAMPLE; OPTIMIZATION PROBLEMS; PRACTICAL PROBLEMS; QUADRATIC CONSTRAINT; ROBUST OPTIMIZATION; ROBUSTNESS AND SENSITIVITY ANALYSIS; SPECIFIC PROBLEMS;

EID: 84872925764     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2012.10.007     Document Type: Article
Times cited : (50)

References (29)
  • 1
    • 79958094950 scopus 로고    scopus 로고
    • Production planning in furniture settings via robust optimization
    • D.J. Alem, and R. Morabito Production planning in furniture settings via robust optimization Computers & Operations Research 39 2012 139 150 < http://www.sciencedirect.com/science/article/pii/S0305054811000645 >
    • (2012) Computers & Operations Research , vol.39 , pp. 139-150
    • Alem, D.J.1    Morabito, R.2
  • 2
    • 33750560014 scopus 로고    scopus 로고
    • Optimization of HDR brachytherapy dose distributions using linear programming with penalty costs
    • R. Alterovitz, E. Lessard, J. Pouliot, I.J. Hsu, J.F. O'Brien, and K. Goldberg Optimization of HDR brachytherapy dose distributions using linear programming with penalty costs Medical Physics 33 2006 4012 4019 < http://dx.doi.org/10.1118/1.2349685 >
    • (2006) Medical Physics , vol.33 , pp. 4012-4019
    • Alterovitz, R.1    Lessard, E.2    Pouliot, J.3    Hsu, I.J.4    O'Brien, J.F.5    Goldberg, K.6
  • 3
    • 0032664938 scopus 로고    scopus 로고
    • Robust solutions of uncertain linear programs
    • A. Ben-Tal, and A. Nemirovski Robust solutions of uncertain linear programs Operations Research Letters 25 1999 1 13 < http://dx.doi.org/10. 1016/S0167-6377(99)00016-4 >
    • (1999) Operations Research Letters , vol.25 , pp. 1-13
    • Ben-Tal, A.1    Nemirovski, A.2
  • 4
    • 14844327381 scopus 로고    scopus 로고
    • Adjustable robust solutions of uncertain linear programs
    • A. Ben-Tal, A. Goryashko, E. Guslitzer, and A. Nemirovski Adjustable robust solutions of uncertain linear programs Mathematical Programming 99 2004 351 376 < http://dx.doi.org/10.1007/s10107-003-0454-y >
    • (2004) Mathematical Programming , vol.99 , pp. 351-376
    • Ben-Tal, A.1    Goryashko, A.2    Guslitzer, E.3    Nemirovski, A.4
  • 7
    • 66049096449 scopus 로고    scopus 로고
    • Robust multi-echelon multi-period inventory control
    • A. Ben-Tal, B. Golany, and S. Shtern Robust multi-echelon multi-period inventory control European Journal of Operations Research 199 2009 922 935 < http://dx.doi.org/10.1016/j.ejor.2009.01.058 >
    • (2009) European Journal of Operations Research , vol.199 , pp. 922-935
    • Ben-Tal, A.1    Golany, B.2    Shtern, S.3
  • 8
    • 80051945761 scopus 로고    scopus 로고
    • Robust optimization for emergency logistics planning: Risk mitigation in humanitarian relief supply chains
    • A. Ben-Tal, B.D. Chung, S.R. Mandala, and T. Yao Robust optimization for emergency logistics planning: Risk mitigation in humanitarian relief supply chains Transportation Research Part B: Methodological 45 2011 1177 1189 < http://dx.doi.org/10.1016/j.trb.2010.09.002 >
    • (2011) Transportation Research Part B: Methodological , vol.45 , pp. 1177-1189
    • Ben-Tal, A.1    Chung, B.D.2    Mandala, S.R.3    Yao, T.4
  • 10
    • 35048853008 scopus 로고    scopus 로고
    • A robust optimization approach to supply chain management
    • Daniel Bienstock, George Nemhauser, Lecture Notes in Computer Science Springer Berlin/Heidelberg
    • D. Bertsimas, and A. Thiele A robust optimization approach to supply chain management Daniel Bienstock, George Nemhauser, Integer Programming and Combinatorial Optimization Lecture Notes in Computer Science vol. 3064 2004 Springer Berlin/Heidelberg 145 156 < http://dx.doi.org/10.1007/978-3-540- 25960-2-7 >
    • (2004) Integer Programming and Combinatorial Optimization , vol.3064 , pp. 145-156
    • Bertsimas, D.1    Thiele, A.2
  • 11
    • 33644559970 scopus 로고    scopus 로고
    • A robust optimization approach to inventory theory
    • D. Bertsimas, and A. Thiele A robust optimization approach to inventory theory Operations Research 54 2006 150 168 < http://dx.doi.org/10.1287/opre. 1050.0238 >
    • (2006) Operations Research , vol.54 , pp. 150-168
    • Bertsimas, D.1    Thiele, A.2
  • 12
    • 83255193558 scopus 로고    scopus 로고
    • A hierarchy of near-optimal policies for multi-stage adaptive optimization
    • D. Bertsimas, D.A. Iancu, and P.A. Parrilo A hierarchy of near-optimal policies for multi-stage adaptive optimization IEEE Automatic Control 56 2012 2809 2824 < http://dx.doi.org/10.1109/TAC.2011.2162878 >
    • (2012) IEEE Automatic Control , vol.56 , pp. 2809-2824
    • Bertsimas, D.1    Iancu, D.A.2    Parrilo, P.A.3
  • 13
    • 41149119059 scopus 로고    scopus 로고
    • Computing robust basestock levels
    • D. Bienstock, and N. Özbay Computing robust basestock levels Discrete Optimization 5 2008 389 414 < http://dx.doi.org/10.1016/j.disopt. 2006.12.002 >
    • (2008) Discrete Optimization , vol.5 , pp. 389-414
    • Bienstock, D.1    Özbay, N.2
  • 14
    • 69249244301 scopus 로고    scopus 로고
    • A robust optimization approach to wine grape harvesting scheduling
    • C. Bohle, S. Maturana, and J. Vera A robust optimization approach to wine grape harvesting scheduling European Journal of Operations Research 200 2010 245 252 < http://dx.doi.org/10.1016/j.ejor.2008.12.003 >
    • (2010) European Journal of Operations Research , vol.200 , pp. 245-252
    • Bohle, C.1    Maturana, S.2    Vera, J.3
  • 15
    • 73649088639 scopus 로고    scopus 로고
    • Uncertain linear programs: Extended affinely adjustable robust counterparts
    • X. Chen, and Y. Zhang Uncertain linear programs: Extended affinely adjustable robust counterparts Operations Research 57 2009 1469 1482 < http://dx.doi.org/10.1287/opre.1080.0605 >
    • (2009) Operations Research , vol.57 , pp. 1469-1482
    • Chen, X.1    Zhang, Y.2
  • 16
    • 0031536271 scopus 로고    scopus 로고
    • Robust solutions to least-squares problems with uncertain data
    • L. El Ghaoui, and H. Lebret Robust solutions to least-squares problems with uncertain data SIAM Journal on Matrix Analysis and Applications 18 1997 1035 1064 < http://dx.doi.org/10.1137/S0895479896298130 >
    • (1997) SIAM Journal on Matrix Analysis and Applications , vol.18 , pp. 1035-1064
    • El Ghaoui, L.1    Lebret, H.2
  • 20
    • 0035010591 scopus 로고    scopus 로고
    • Inverse planning anatomy-based dose optimization for HDR-brachytherapy of the prostate using fast simulated annealing algorithm and dedicated objective function
    • E. Lessard, and J. Pouliot Inverse planning anatomy-based dose optimization for HDR-brachytherapy of the prostate using fast simulated annealing algorithm and dedicated objective function Medical Physics 28 2001 773 779
    • (2001) Medical Physics , vol.28 , pp. 773-779
    • Lessard, E.1    Pouliot, J.2
  • 21
    • 84855930019 scopus 로고    scopus 로고
    • Automatic robust convex programming
    • J. Löfberg Automatic robust convex programming Optimization Methods and Software 2012 27 < http://dx.doi.org/10.1080/10556788.2010.517532 >
    • (2012) Optimization Methods and Software , pp. 27
    • Löfberg, J.1
  • 22
    • 77649337551 scopus 로고    scopus 로고
    • Semiconductor lot allocation using robust optimization
    • T.S. Ng, Y. Sun, and J. Fowler Semiconductor lot allocation using robust optimization European Journal of Operations Research 205 2010 557 570 < http://dx.doi.org/10.1016/j.ejor.2010.01.021 >
    • (2010) European Journal of Operations Research , vol.205 , pp. 557-570
    • Ng, T.S.1    Sun, Y.2    Fowler, J.3
  • 23
  • 24
    • 0004267646 scopus 로고
    • Princeton University Press Princeton, NJ
    • R.T. Rockafellar Convex Analysis 1970 Princeton University Press Princeton, NJ
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 25
    • 0010680207 scopus 로고
    • Convex programming with set-inclusive constraints and applications to inexact linear programming
    • A.L. Soyster Convex programming with set-inclusive constraints and applications to inexact linear programming Operations Research 21 1973 1154 1157
    • (1973) Operations Research , vol.21 , pp. 1154-1157
    • Soyster, A.L.1
  • 27
    • 78651307422 scopus 로고    scopus 로고
    • Robust optimal policies of production and inventory with uncertain returns and demand
    • C. Wei, Y. Li, and X. Cai Robust optimal policies of production and inventory with uncertain returns and demand International Journal of Production Economics 134 2009 357 367 < http://dx.doi.org/10.1016/j.ijpe.2009.11.008 >
    • (2009) International Journal of Production Economics , vol.134 , pp. 357-367
    • Wei, C.1    Li, Y.2    Cai, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.