메뉴 건너뛰기




Volumn 40, Issue 1, 2013, Pages 362-377

Scenario Cluster Decomposition of the Lagrangian dual in two-stage stochastic mixed 0-1 optimization

Author keywords

Cluster Lagrangian Decomposition; Dynamic Constrained Cutting Plane Scheme; Nonanticipativity constraints; Progressive Hedging Algorithm; Scenario cluster model; Subgradient Method; Two stage stochastic integer programming; Volume Algorithm

Indexed keywords

CLUSTER MODELS; CUTTING PLANES; LAGRANGIAN DECOMPOSITION; NONANTICIPATIVITY CONSTRAINTS; PROGRESSIVE HEDGING ALGORITHM; STOCHASTIC INTEGER PROGRAMMING; SUBGRADIENT METHODS; VOLUME ALGORITHMS;

EID: 84866173589     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2012.07.009     Document Type: Article
Times cited : (35)

References (23)
  • 1
    • 0043237882 scopus 로고    scopus 로고
    • BFC, a Branch-and-Fix Coordination algorithmic framework for solving some types of stochastic pure and mixed 0-1 programs
    • A. Alonso-Ayuso, L.F. Escudero, and M.T. Ortuño BFC, a Branch-and-Fix Coordination algorithmic framework for solving some types of stochastic pure and mixed 0-1 programs European Journal of Operational Research 151 2003 503 519
    • (2003) European Journal of Operational Research , vol.151 , pp. 503-519
    • Alonso-Ayuso, A.1    Escudero, L.F.2    Ortuño, M.T.3
  • 3
    • 0013152010 scopus 로고    scopus 로고
    • The volume algorithm: Producing primal solutions with a subgradient method
    • F. Barahona, and R. Anbil The volume algorithm: producing primal solutions with a subgradient method Mathematical Programming 87 2000 385 399
    • (2000) Mathematical Programming , vol.87 , pp. 385-399
    • Barahona, F.1    Anbil, R.2
  • 4
    • 0032674969 scopus 로고    scopus 로고
    • Dual decomposition in stochastic integer programming
    • C.C. Caroe, and R. Schultz Dual decomposition in stochastic integer programming Operations Research Letters 24 1999 37 45
    • (1999) Operations Research Letters , vol.24 , pp. 37-45
    • Caroe, C.C.1    Schultz, R.2
  • 5
    • 60649099540 scopus 로고    scopus 로고
    • A general algorithm for solving two-stage stochastic mixed 0-1 first stage problems
    • L.F. Escudero, A. Garín, M. Merino, and G. Pérez A general algorithm for solving two-stage stochastic mixed 0-1 first stage problems Computers & Operations Research 36 2009 2590 2600
    • (2009) Computers & Operations Research , vol.36 , pp. 2590-2600
    • Escudero, L.F.1    Garín, A.2    Merino, M.3    Pérez, G.4
  • 6
    • 70449624657 scopus 로고    scopus 로고
    • An exact algorithm for solving large-scale two-stage stochastic mixed integer problems: Some theoretical and experimental aspects
    • L.F. Escudero, A. Garín, M. Merino, and G. Pérez An exact algorithm for solving large-scale two-stage stochastic mixed integer problems: some theoretical and experimental aspects European Journal of Operational Research 204 2010 105 116
    • (2010) European Journal of Operational Research , vol.204 , pp. 105-116
    • Escudero, L.F.1    Garín, A.2    Merino, M.3    Pérez, G.4
  • 7
    • 80052264445 scopus 로고    scopus 로고
    • An algorithmic framework for solving large scale stochastic mixed 0-1 problems with nonsymmetric scenario trees
    • L.F. Escudero, A. Garín, M. Merino, and G. Pérez An algorithmic framework for solving large scale stochastic mixed 0-1 problems with nonsymmetric scenario trees Computers & Operations Research 39 2012 1133 1144
    • (2012) Computers & Operations Research , vol.39 , pp. 1133-1144
    • Escudero, L.F.1    Garín, A.2    Merino, M.3    Pérez, G.4
  • 8
    • 63949087563 scopus 로고    scopus 로고
    • Stochastic programs with first-order stochastic dominance constraints induced by mixed-integer linear recourse
    • R. Gollmer, F. Neise, and R. Schultz Stochastic programs with first-order stochastic dominance constraints induced by mixed-integer linear recourse SIAM Journal on Optimization 19 2008 552 571
    • (2008) SIAM Journal on Optimization , vol.19 , pp. 552-571
    • Gollmer, R.1    Neise, F.2    Schultz, R.3
  • 9
    • 77954420689 scopus 로고    scopus 로고
    • A note on second-order stochastic dominance constraints induced by mixed-integer linear recourse
    • R. Gollmer, U. Gotzes, and R. Schultz A note on second-order stochastic dominance constraints induced by mixed-integer linear recourse Mathematical Programming Series B 126 2011 179 190
    • (2011) Mathematical Programming Series B , vol.126 , pp. 179-190
    • Gollmer, R.1    Gotzes, U.2    Schultz, R.3
  • 10
    • 84864130740 scopus 로고    scopus 로고
    • Lagrangian decomposition for large-scale two-stage stochastic mixed 0-1 problems
    • L.F. Escudero, A. Garín, G. Pérez, and A. Unzueta Lagrangian decomposition for large-scale two-stage stochastic mixed 0-1 problems TOP 20 2012 347 374
    • (2012) TOP , vol.20 , pp. 347-374
    • Escudero, L.F.1    Garín, A.2    Pérez, G.3    Unzueta, A.4
  • 11
  • 12
    • 52449148785 scopus 로고    scopus 로고
    • Lagrangian relaxation
    • M. Guignard Lagrangian relaxation TOP 11 2003 151 228
    • (2003) TOP , vol.11 , pp. 151-228
    • Guignard, M.1
  • 13
    • 34250461535 scopus 로고
    • The traveling salesman problem and minimum spanning trees: Part II
    • M. Held, and R.M. Karp The traveling salesman problem and minimum spanning trees: Part II Mathematical Programming 1 1971 6 25
    • (1971) Mathematical Programming , vol.1 , pp. 6-25
    • Held, M.1    Karp, R.M.2
  • 14
    • 84866149164 scopus 로고    scopus 로고
    • IBM ILOG.
    • IBM ILOG. CPLEX v12.2 〈 http://www.ilog.com/products/cplex 〉; 2009.
    • (2009) CPLEX v12.2
  • 15
    • 84866149165 scopus 로고    scopus 로고
    • INFORMS. COIN-OR
    • INFORMS. COIN-OR 〈 www.coin-or.org 〉; 2010.
    • (2010)
  • 16
    • 0033079889 scopus 로고    scopus 로고
    • Short-term hydro-thermal coordination by Lagrangean relaxation: Solution of the dual problem
    • N. Jimenez Redondo, and A.J. Conejo Short-term hydro-thermal coordination by Lagrangean relaxation: solution of the dual problem IEEE Transactions on Power Systems 14 1997 89 95
    • (1997) IEEE Transactions on Power Systems , vol.14 , pp. 89-95
    • Jimenez Redondo, N.1    Conejo, A.J.2
  • 18
  • 19
    • 12344324433 scopus 로고    scopus 로고
    • Stochastic programming with integer variables
    • R. Schultz Stochastic programming with integer variables Mathematical Programming Series B 97 2003 285 309
    • (2003) Mathematical Programming Series B , vol.97 , pp. 285-309
    • Schultz, R.1
  • 20
    • 67349142596 scopus 로고    scopus 로고
    • Two-stage hierarchical multiple risk problems: Models and algorithms
    • H.D. Sherali, and J.C. Smith Two-stage hierarchical multiple risk problems: models and algorithms Mathematical Programming Series A 120 2009 403 427
    • (2009) Mathematical Programming Series A , vol.120 , pp. 403-427
    • Sherali, H.D.1    Smith, J.C.2
  • 21
    • 33745684007 scopus 로고    scopus 로고
    • On solving discrete two stage stochastic programs having mixed-integer first and second stage variables
    • H.D. Sherali, and X. Zhu On solving discrete two stage stochastic programs having mixed-integer first and second stage variables Mathematical Programming Series A 108 2006 597 611
    • (2006) Mathematical Programming Series A , vol.108 , pp. 597-611
    • Sherali, H.D.1    Zhu, X.2
  • 22
    • 80053098461 scopus 로고    scopus 로고
    • Progressive hedging innovations for a class os stochastic mixed-integer resource allocation problems
    • J.P. Watson, and D. Woodruff Progressive hedging innovations for a class os stochastic mixed-integer resource allocation problems Computational Management Science 8 2011 355 370
    • (2011) Computational Management Science , vol.8 , pp. 355-370
    • Watson, J.P.1    Woodruff, D.2
  • 23
    • 0005010428 scopus 로고
    • Programming under uncertainty: The equivalent convex program
    • R. Wets Programming under uncertainty: the equivalent convex program SIAM Journal on Applied Mathematics 14 1966 89 105
    • (1966) SIAM Journal on Applied Mathematics , vol.14 , pp. 89-105
    • Wets, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.