메뉴 건너뛰기




Volumn 158, Issue 5, 2010, Pages 597-603

Robust network optimization under polyhedral demand uncertainty is N P-hard

Author keywords

Multicommodity flows; Network flows; Network optimization; Polyhedral uncertainty; Robust optimization

Indexed keywords

COMPLEXITY ISSUES; DEMAND UNCERTAINTY; LINEAR PROGRAMS; LOGISTIC NETWORKS; MINIMUM COST; MULTI-COMMODITY; MULTI-COMMODITY FLOW; NETWORK FLOWS; NETWORK OPTIMIZATION; NP-HARDNESS; POWER DISTRIBUTION NETWORK; RIGHT-HAND SIDES; ROBUST NETWORK; ROBUST OPTIMIZATION;

EID: 75449106353     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2009.09.025     Document Type: Article
Times cited : (47)

References (27)
  • 2
    • 38549084246 scopus 로고    scopus 로고
    • Two-stage robust network flow and design under demand uncertainty
    • Atamtürk A., and Zhang M. Two-stage robust network flow and design under demand uncertainty. Operations research 55 4 (2007) 662-673
    • (2007) Operations research , vol.55 , Issue.4 , pp. 662-673
    • Atamtürk, A.1    Zhang, M.2
  • 3
    • 9644308639 scopus 로고
    • Partitioning procedures for solving mixed variables programming problems
    • Benders J.F. Partitioning procedures for solving mixed variables programming problems. Numerische Mathematik 4 (1962) 238-252
    • (1962) Numerische Mathematik , vol.4 , pp. 238-252
    • Benders, J.F.1
  • 6
    • 0141712989 scopus 로고    scopus 로고
    • Robust optimization -methodology and applications
    • Ben-Tal A., and Nemirovski A. Robust optimization -methodology and applications. Mathematical Programming 92 (2002) 453-480
    • (2002) Mathematical Programming , vol.92 , pp. 453-480
    • Ben-Tal, A.1    Nemirovski, A.2
  • 7
    • 84870613023 scopus 로고    scopus 로고
    • Robust discrete optimization and network flows
    • Bertsimas D., and Sim M. Robust discrete optimization and network flows. Mathematical Programming B 98 (2003) 49-71
    • (2003) Mathematical Programming B , vol.98 , pp. 49-71
    • Bertsimas, D.1    Sim, M.2
  • 8
    • 3042762207 scopus 로고    scopus 로고
    • The price of robustness
    • Bertsimas D., and Sim M. The price of robustness. Operations Research 52 1 (2004) 35-53
    • (2004) Operations Research , vol.52 , Issue.1 , pp. 35-53
    • Bertsimas, D.1    Sim, M.2
  • 9
    • 84972520507 scopus 로고
    • A theorem on flows in networks
    • Gale D. A theorem on flows in networks. Pacific Journal of Mathematics 7 (1957) 1073-1082
    • (1957) Pacific Journal of Mathematics , vol.7 , pp. 1073-1082
    • Gale, D.1
  • 11
    • 51249185617 scopus 로고
    • The ellipsoid method and its consequences in combinatorial optimization
    • Grötschel M., Lovász L., and Schrijver A. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica 1 2 (1981) 169-197
    • (1981) Combinatorica , vol.1 , Issue.2 , pp. 169-197
    • Grötschel, M.1    Lovász, L.2    Schrijver, A.3
  • 12
    • 75449086904 scopus 로고    scopus 로고
    • Uncertainty immunized solutions in linear programming, Master's thesis, Minerva Optimization Center, Technion
    • E. Guslitser, Uncertainty immunized solutions in linear programming, Master's thesis, Minerva Optimization Center, Technion, 2002. http://iew3.technion.ac.il/Labs/Opt/index.php?4
    • (2002)
    • Guslitser, E.1
  • 13
    • 0030259135 scopus 로고    scopus 로고
    • A robustness approach to uncapacitated network design problems
    • Gutiérrez G., Kouvelis P., and Kurawarwala A. A robustness approach to uncapacitated network design problems. EJOR 94 2 (1996) 362-376
    • (1996) EJOR , vol.94 , Issue.2 , pp. 362-376
    • Gutiérrez, G.1    Kouvelis, P.2    Kurawarwala, A.3
  • 15
    • 0032208369 scopus 로고    scopus 로고
    • Applying robust optimization to capacity expansion of one location in telecommunications with demand uncertainty
    • Laguna M. Applying robust optimization to capacity expansion of one location in telecommunications with demand uncertainty. Management Science 44 11 (1998) 5101-5110
    • (1998) Management Science , vol.44 , Issue.11 , pp. 5101-5110
    • Laguna, M.1
  • 16
    • 0022060704 scopus 로고
    • Combinatorial approaches to multiflow problems
    • Lomonosov M. Combinatorial approaches to multiflow problems. Discrete Applied Mathematics 11 (1985) 1-93
    • (1985) Discrete Applied Mathematics , vol.11 , pp. 1-93
    • Lomonosov, M.1
  • 17
    • 0028496734 scopus 로고
    • Robust optimization for power systems capacity expansion under uncertainty
    • Malcom S., and Zenios S. Robust optimization for power systems capacity expansion under uncertainty. Journal ORSA 45 9 (1994) 1040-1049
    • (1994) Journal ORSA , vol.45 , Issue.9 , pp. 1040-1049
    • Malcom, S.1    Zenios, S.2
  • 18
    • 0021376457 scopus 로고
    • Network design and transportation planning: models and algorithms
    • Magnanti T., and Wong R. Network design and transportation planning: models and algorithms. Transportation Science 18 1 (1984) 1-55
    • (1984) Transportation Science , vol.18 , Issue.1 , pp. 1-55
    • Magnanti, T.1    Wong, R.2
  • 19
    • 0035561170 scopus 로고    scopus 로고
    • Discrete cost multicommoditity network optimization problems and exact solution methods
    • Minoux M. Discrete cost multicommoditity network optimization problems and exact solution methods. Annals of Operations Research 106 (2001) 19-46
    • (2001) Annals of Operations Research , vol.106 , pp. 19-46
    • Minoux, M.1
  • 20
    • 75449090885 scopus 로고    scopus 로고
    • Optimum network design models and algorithms in transportation and communication
    • Minoux M. Optimum network design models and algorithms in transportation and communication. International Journal of Logistics, Research and Applications 6 1-2 (2003) 5-15
    • (2003) International Journal of Logistics, Research and Applications , vol.6 , Issue.1-2 , pp. 5-15
    • Minoux, M.1
  • 21
    • 67650425242 scopus 로고    scopus 로고
    • Robust linear programming with right-hand-side uncertainty, duality and applications
    • Floudas L.A., and Pardalos P.M. (Eds), Kluwer
    • Minoux M. Robust linear programming with right-hand-side uncertainty, duality and applications. In: Floudas L.A., and Pardalos P.M. (Eds). Encyclopedia of Optimization. 2nd edition (2008), Kluwer 3317-3327
    • (2008) Encyclopedia of Optimization. 2nd edition , pp. 3317-3327
    • Minoux, M.1
  • 22
    • 67650497445 scopus 로고    scopus 로고
    • On robust maximum flow with polyhedral uncertainty sets
    • Minoux M. On robust maximum flow with polyhedral uncertainty sets. Optimization Letters 3 3 (2009) 367-376
    • (2009) Optimization Letters , vol.3 , Issue.3 , pp. 367-376
    • Minoux, M.1
  • 24
    • 34548272739 scopus 로고    scopus 로고
    • Robust capacity expansion of network flows
    • Ordoñez F., and Zhao J. Robust capacity expansion of network flows. Networks (2007) 136-145
    • (2007) Networks , pp. 136-145
    • Ordoñez, F.1    Zhao, J.2
  • 25
    • 63249089233 scopus 로고    scopus 로고
    • A model for robust capacity planning for telecommunication networks under demand uncertainty
    • Workshop DRCN 2007, La Rochelle, France
    • A. Ouorou, J.Ph. Vial, A model for robust capacity planning for telecommunication networks under demand uncertainty, in: Proceedings 6th Int. Workshop DRCN 2007, La Rochelle, France
    • Proceedings 6th Int
    • Ouorou, A.1    Vial, J.P.2
  • 26
    • 35948974415 scopus 로고    scopus 로고
    • An approach to robust network design in telecommunications
    • Petrou G., Lemaréchal C., and Ouorou A. An approach to robust network design in telecommunications. RAIRO 41 4 (2007) 411-426
    • (2007) RAIRO , vol.41 , Issue.4 , pp. 411-426
    • Petrou, G.1    Lemaréchal, C.2    Ouorou, A.3
  • 27
    • 0040348171 scopus 로고
    • On the existence of a feasible flow in a stochastic transportation network
    • Prekopa A., and Boros E. On the existence of a feasible flow in a stochastic transportation network. Operations Research 39 (1991) 119-129
    • (1991) Operations Research , vol.39 , pp. 119-129
    • Prekopa, A.1    Boros, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.