Stochastic Optimization Methods -- Solution of Stochastic Linear Programs by Discretization Methods -- Optimal Control under Stochastic Uncertainty -- Random Search Procedures for Global Optimization -- Controlled Random Search under Uncertainty -- Controlled Random Search Procedures for Global...

Optimization problems arising in practice usually contain several random parameters. Hence, in order to obtain optimal solutions being robust with respect to random parameter variations, the mostly available statistical information about the random parameters should be considered already at the...

1. Optimal Control under Stochastic Uncertainty -- 2. Stochastic Optimization of Regulators -- 3. Optimal Open-Loop Control of Dynamic Systems under Stochastic Uncertainty -- 4. Construction of feedback control by means of homotopy methods -- 5. Constructions of Limit State Functions -- 6....

Ongoing global changes pose fundamentally new scientific problems requiring new concepts and tools. A key issue concerns a vast variety of practically irreducible uncertainties, which challenge traditional models and require new concepts and analytical tools. Uncertainty can dominate, as in the...

Optimization problems arising in practice involve random parameters. For the computation of robust optimal solutions, i.e., optimal solutions being insensitive with respect to random parameter variations, deterministic substitute problems are needed. Based on the distribution of the random data,...

General Remarks on Robust Solutions -- Modeling of Uncertainty and Probabilistic Issues -- On Joint Modelling of Random Uncertainty and Fuzzy Imprecision -- On the Approximation of a Discrete Multivariate Probability Distribution Using the New Concept of -Cherry Junction Tree -- Robust Solutions...

Dieses Buch ist eine Einführung in die mathematische Theorie der Optimierung. Nach einer kurzen Beschreibung der Problemstellung und einer Übersicht über die grundlegenden Typen von Optimierungsaufgaben werden im zweiten Kapitel lineare Optimierungsprobleme behandelt, für die ein...