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On Augmented Lagrangian Decomposition Methods For Multistage Stochastic Programs

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  • A. Ruszczynski

Abstract

A general decomposition framework for large convex optimization problems based on augmented Lagrangians is described. The approach is then applied to multistage stochastic programming problems in two different ways: by decomposing the problem into scenarios or decomposing it into nodes corresponding to stages. In both cases the method has favorable convergence properties and a structure which makes it convenient for parallel computing environments.

Suggested Citation

  • A. Ruszczynski, 1994. "On Augmented Lagrangian Decomposition Methods For Multistage Stochastic Programs," Working Papers wp94005, International Institute for Applied Systems Analysis.
  • Handle: RePEc:wop:iasawp:wp94005
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    References listed on IDEAS

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    1. Alan S. Manne & Richard G. Richels, 1991. "Global CO2 Emission Reductions - the Impacts of Rising Energy Costs," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 87-108.
    2. Alan Manne & Richard Richels, 1992. "Buying Greenhouse Insurance: The Economic Costs of CO2 Emission Limits," MIT Press Books, The MIT Press, edition 1, volume 1, number 026213280x, January.
    3. A. Ruszczynski, 1992. "Augmented Lagrangian Decomposition for Sparse Convex Optimization," Working Papers wp92075, International Institute for Applied Systems Analysis.
    4. John R. Birge, 1985. "Decomposition and Partitioning Methods for Multistage Stochastic Linear Programs," Operations Research, INFORMS, vol. 33(5), pages 989-1007, October.
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    Cited by:

    1. Diana Barro & Elio Canestrelli, 2005. "Time and nodal decomposition with implicit non-anticipativity constraints in dynamic portfolio optimization," GE, Growth, Math methods 0510011, EconWPA.
    2. Diana Barro & Elio Canestrelli, 2011. "Combining stochastic programming and optimal control to solve multistage stochastic optimization problems," Working Papers 2011_24, Department of Economics, University of Venice "Ca' Foscari", revised 2011.
    3. M. Makowski & L. Somlyody & D. Watkins, 1995. "Multiple Criteria Analysis for Regional Water Quality Management: the Nitra River Case," Working Papers wp95022, International Institute for Applied Systems Analysis.
    4. K. Kiwiel & C.H. Rosa & A. Ruszczynski, 1995. "Decomposition via Alternating Linearization," Working Papers wp95051, International Institute for Applied Systems Analysis.

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