Kniha Stability, Approximation, and Decomposition in Two- and Multistage Stochastic Programming Christian Küchler

Stability, Approximation, and Decomposition in Two- and Multistage Stochastic Programming

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 147
Stochastic programming provides a framework for modelling, analyzing, and solving optimization probl...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2009
Stránek
186
EAN
9783834809216
ISBN
3834809217
Enbook ID
01782103
Hmotnost
230
Rozměry
148 x 210 x 10

Kompletní popis

Stochastic programming provides a framework for modelling, analyzing, and solving optimization problems with some parameters being not known up to a probability distribution. Such problems arise in a variety of applications, such as inventory control, financial planning and portfolio optimization, airline revenue management, scheduling and operation of power systems, and supply chain management. §§Christian Küchler studies various aspects of the stability of stochastic optimization problems as well as approximation and decomposition methods in stochastic programming. One of these aspects is the problem of the quantitative stability of linear multistage stochastic programs under perturbations or approximations of the underlying stochastic processes. The author further presents an extension of the Nested Benders decomposition algorithm related to the concept of recombining scenario trees. The approach combines the concept of cut sharing with a specific aggregation procedure and prevents an exponentially growing number of subproblem evaluations. Convergence results and numerical properties are discussed.

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