Methods of Nonsmooth Optimization in Stochastic Programming

Methods of Nonsmooth Optimization in Stochastic Programming

From Conceptual Algorithms to Real-World Applications

de Oliveira, Welington Luis; van Ackooij, Wim Stefanus

Springer International Publishing AG

05/2025

613

Dura

9783031848360

Pré-lançamento - envio 15 a 20 dias após a sua edição

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Introduction.- Primer of convex analysis.- Variational analysis.- Linear and nonlinear optimization problems.- Probability and Statistics.- Fundamental modeling questions in stochastic programming.- Adjusting to uncertainty: modeling recourse.- Probability constraints.- Proximal point algorithms for problems with structure.- Cutting-plane algorithms for nonsmooth convex optimization over simple domains.- Bundle methods for nonsmooth convex optimization over simple domains.- Methods for nonlinearly constrained nonsmooth optimization problems.- Methods for nonsmooth optimization with mixed-integer variables.- Methods for nonsmooth nonconvex optimization.- Two-stage stochastic programs.- Progressive decoupling in multistage stochastic programming.- Scenario decomposition with alternating projections.- Methods for multistage stochastic linear programs.- Methods for handling probability.
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Nonsmooth optimization;Stochastic programming;Numerical optimization;Optimization under uncertainty;Set-valued analysis;Algorithms ;Numerical algorithms;Nonconvex nonsmooth optimization;Stochastic optimization;Mixed-integer convex programming;Convex optimization;Risk-averse multistage stochastic programs