메뉴 건너뛰기




Volumn 30, Issue 3, 2005, Pages 615-631

The scenario generation algorithm for multistage stochastic linear programming

Author keywords

Finite element methods; Multistage stochastic linear program; Scenario tree generation; Stochastic optimization

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATION THEORY; FINITE ELEMENT METHOD; RANDOM PROCESSES; STOCHASTIC CONTROL SYSTEMS;

EID: 31144445025     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1050.0146     Document Type: Article
Times cited : (65)

References (16)
  • 2
    • 84995112804 scopus 로고
    • Stochastic programming in production planning: A case with nonsimple recourse
    • Boskma, K., R. J. Peters, H. A. E. Kuper. 1977. Stochastic programming in production planning: a case with nonsimple recourse. Statistica Neerlandica 31 113-126.
    • (1977) Statistica Neerlandica , vol.31 , pp. 113-126
    • Boskma, K.1    Peters, R.J.2    Kuper, H.A.E.3
  • 3
    • 0032115358 scopus 로고    scopus 로고
    • Concepts, technical issues and uses of the Russell-Yasuda-Kasai financial planning model
    • Carino, D. R., D. H. Myers, W. T. Ziemba. 1998. Concepts, technical issues and uses of the Russell-Yasuda-Kasai financial planning model. Oper. Res. 46(4) 450-462.
    • (1998) Oper. Res. , vol.46 , Issue.4 , pp. 450-462
    • Carino, D.R.1    Myers, D.H.2    Ziemba, W.T.3
  • 5
    • 0033468949 scopus 로고    scopus 로고
    • Bounds-based approximations in multistage stochastic programming
    • Edirisinghe, N. 1999. Bounds-based approximations in multistage stochastic programming. Ann. Oper. Res. 85 103-127.
    • (1999) Ann. Oper. Res. , vol.85 , pp. 103-127
    • Edirisinghe, N.1
  • 6
    • 0042270348 scopus 로고    scopus 로고
    • Implementing bounds-based approximations in convex-concave two-stage stochastic programming
    • Edirisinghe, N., W. T. Ziemba. 1996. Implementing bounds-based approximations in convex-concave two-stage stochastic programming. Math. Programming 78(2) 314-340.
    • (1996) Math. Programming , vol.78 , Issue.2 , pp. 314-340
    • Edirisinghe, N.1    Ziemba, W.T.2
  • 7
    • 0005091318 scopus 로고    scopus 로고
    • Barycentric scenario trees in convex multistage stochastic programming
    • Frauendorfer, K. 1996. Barycentric scenario trees in convex multistage stochastic programming. Math. Programming B 75 277-293.
    • (1996) Math. Programming B , vol.75 , pp. 277-293
    • Frauendorfer, K.1
  • 8
    • 0023844906 scopus 로고
    • A solution method for SLP recourse problems with arbitrary multivariate distributions - The independent case
    • Frauendorfer, K., P. Kall. 1988. A solution method for SLP recourse problems with arbitrary multivariate distributions - the independent case. Problems Control Inform. Theory 17 177-205.
    • (1988) Problems Control Inform. Theory , vol.17 , pp. 177-205
    • Frauendorfer, K.1    Kall, P.2
  • 10
    • 0035261934 scopus 로고    scopus 로고
    • Generating scenario trees for multi-stage decision problems
    • Hoyland, K., S. W. Wallace. 2001. Generating scenario trees for multi-stage decision problems. Management Sci. 47(2) 295-307.
    • (2001) Management Sci. , vol.47 , Issue.2 , pp. 295-307
    • Hoyland, K.1    Wallace, S.W.2
  • 11
    • 0042230796 scopus 로고    scopus 로고
    • Stochastic Lagrangian relaxation applied to power scheduling in a hydrothermal system under uncertainty
    • Nowak, M. P., W. Romisch. 2000. Stochastic Lagrangian relaxation applied to power scheduling in a hydrothermal system under uncertainty. Ann. Oper. Res. 100 251-272.
    • (2000) Ann. Oper. Res. , vol.100 , pp. 251-272
    • Nowak, M.P.1    Romisch, W.2
  • 12
    • 0000117965 scopus 로고
    • Discretizations of multistage stochastic programming
    • Olsen, P. 1976. Discretizations of multistage stochastic programming. Math. Programming Stud. 6 111-124.
    • (1976) Math. Programming Stud. , vol.6 , pp. 111-124
    • Olsen, P.1
  • 13
    • 0013270047 scopus 로고    scopus 로고
    • Scenario tree generation for multiperiod financial optimization by optimal discretization
    • Pflug, G. C. 2000. Scenario tree generation for multiperiod financial optimization by optimal discretization. Math. Programming 89 251-271.
    • (2000) Math. Programming , vol.89 , pp. 251-271
    • Pflug, G.C.1
  • 14
    • 0003410675 scopus 로고
    • Kluwer Academic Publishers, Dordrecht, The Netherlands
    • Prékopa, A. 1995. Stochastic Programming. Kluwer Academic Publishers, Dordrecht, The Netherlands.
    • (1995) Stochastic Programming
    • Prékopa, A.1
  • 15
    • 0041728515 scopus 로고    scopus 로고
    • Duality and optimality in multistage stochastic programming
    • Rockafellar, R. T. 1999. Duality and optimality in multistage stochastic programming. Ann. Oper. Res. 85 1-19.
    • (1999) Ann. Oper. Res. , vol.85 , pp. 1-19
    • Rockafellar, R.T.1
  • 16
    • 0007724010 scopus 로고
    • Primal-dual aggregation and disaggregation for stochastic linear programs
    • Wright, S. E. 1994. Primal-dual aggregation and disaggregation for stochastic linear programs. Math. Oper. Res. 19(4) 893-908.
    • (1994) Math. Oper. Res. , vol.19 , Issue.4 , pp. 893-908
    • Wright, S.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.