The book presents * basic modelling techniques, * new theoretical models and conceptual solution techniques, * new numerical methods and computer support and * technical applications of stochastic optimization.
The book presents * basic modelling techniques, * new theoretical models and conceptual solution techniques, * new numerical methods and computer support and * technical applications of stochastic optimization.
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 planning phase. The original problem with random parameters must be replaced by an appropriate deterministic substitute problem, and efficient numerical solution or approximation techniques have to be developed for those problems. This proceedings volume contains a selection of papers on modelling techniques, approximation methods, numerical solution procedures for stochastic optimization problems and applications to the reliability-based optimization of concrete technical or economic systems.
Tutorial Papers: P. Kall: Bounds for and Approximation to Stochastic Linear Programs with Recourse - Tutorial.- D. Dentcheva, W. Römisch: Optimal Power Generation under Uncertainty via Stochastic Programming.- G. Prokop, F. Pfeiffer: Position and Controller Optimization for Robotic Parts Mating.- M. Gasser, G.I. Schuëller: Some Basic Principles of Reliability-Based Optimization(RBO) of Structures and Mechanical Compontents.- Theoretical Models and Conceptual Methods: V.I. Arkin: Stochastic Optimization Approach to Dynamic Problems with Jump Changing Structure.- J. Dupacová: Reflections on Robust Optimization.- Y. Ermoliev, V. Norkin: On Constrained Discontinuous Optimization.- Yu.S. Kan, A.A. Mistryukov: On the Equivalence in Stochastic Programming with Probability and Quantile Objectives.- V. Kanková: A Note on Multifunctions in Stochastic Programming.- R. Lepp: Approximation to Extremum Problems with Probability Cost Functionals.- V. Norkin: Global Optimization of Probabilities by the Stochastic Branch and Bound Method.- B.T. Polyak: Robust Stability of Interval Matrices: a Stochastic Approach.- R. Schultz: A Note on Preprocessing via Fourier-Motzkin Elimination in Two-Stage Stochastic Programming.- T. Szántai: Bounds for the Reliability of k-out-of-connected-(r,s)-from-(m,n): F Lattice Systems.- T. Rapcsák, A. Vásárhelyi: On a Relation between Problems of Calculus of Variations and Mathematical Programming.- Numerical Methods and Computer Support: K.-J. Böttcher: Parameter Sensitivity of Deterministic and Stochastic Search Methods.- I. Deák: Regression Estimators Related to Multinormal Distributions: Computer Experiences in Root Finding.- P. Eberhard, Ch. Bischof: Some Aspects of Algorithmic Differentiation of Ordinary Differential Equations.-K. Frauendorfer, Ch. Marohn: Refinement Issues in Stochastic Multistage Linear Programming.- P. Kall, J. Mayer: On Solving Stochastic Linear Programming Problems.- Technical Applications: R. Antkiewicz, A. Manikowski: On an ON/OFF Type Source with Long Range Correlations.- K. Breitung, F. Casciati, L. Faravelli: Optimization Methods in Structural Reliability.- J. Gawinecki, L. Kowalski: Mathematical Aspects of the Boundary Initial Value Problems for Thermoelasticity Theory of Non-simple Materials with Control for Temperature.- S. Qu: Stochastic Trajectory Planning for Manutec r3 with Random Payload.- J. Reinhart: Implementation of the Response Surface Method (RSM) for Stochastic Structural Optimization Problems.- M. H. van Houten, A. J. G. Schoofs, D. H. van Campen: Optimization of an Engine Air Intake System for Minimum Noise Transmission using Function Approximation Concepts.- R. Deges, T. Vietor: Stochastic Structural Optimization of Powertrain Mounting Systems with Dynamic Constraints.
I. Tutorial Papers.- Bounds for and Approximations to Stochastic Linear Programs with Recourse - Tutorial.- Optimal Power Generation under Uncertainty via Stochastic Programming.- Position and Controller Optimization for Robotic Parts Mating.- Some Basic Principles of Reliability-Based Optimization (RBO) of Structures and Mechanical Components.- II. Theoretical Models and Conceptual Methods.- Stochastic Optimization Approach to Dynamic Problems with Jump Changing Structure.- Reflections on Robust Optimization.- On Constrained Discontinuous Optimization.- On the Equivalence in Stochastic Programming with Probability and Quantile Objectives.- A Note on Multifonctions in Stochastic Programming.- Approximation to Extremum Problems with Probability Cost Functionals.- Global Optimization of Probabilities by the Stochastic Branch and Bound Method.- Robust Stability of Interval Matrices: a Stochastic Approach.- A Note on Preprocessing via Fourier-Motzkin Elimination in Two-Stage Stochastic Programming.- Bounds for the Reliability of k-out-of-connected-(r,s)-from-(m,n): F Lattice Systems.- On a Relation between Problems of Calculus of Variations and Mathematical Programming.- III. Numerical Methods and Computer Support.- Parameter Sensitivity of Deterministic and Stochastic Search Methods.- Regression Estimators related to Multinormal Distributions: Computer Experiences in Root Finding.- Some Aspects of Algorithmic Differentiation of Ordinary Differential Equations.- Refinement Issues in Stochastic Multistage Linear Programming.- On Solving Stochastic Linear Programming Problems.- IV. Technical Applications.- On an ON/OFF Type Source with Long Range Correlations.- Optimization Methods in Structural Reliability.- Mathematical Aspects of the Boundary Initial Value Problems forThermoelasticity Theory of Non-simple Materials with Control for Temperature.- Stochastic Trajectory Planning for Manutec r3 with Random Payload.- Implementation of the Response Surface Method (RSM) for Stochastic Structural Optimization Problems.- Optimization of an Engine Air Intake System for Minimum Noise Transmission using Function Approximation Concepts.- Stochastic Structural Optimization of Powertrain Mounting Systems with Dynamic Constraints.
Dr. Kurt Marti ist Professor für Mathematik und Rechneranwendung an der Universität der Bundeswehr in München. Er ist Vorsitzender der IFIP-Arbeitsgruppe zur Stochastischen Optimierung und war Vorsitzender der GAMM-Special-Interest-Group Applied Stochastics and Optimization . Professor Marti ist Verfasser mehrerer deutsch- und englischsprachiger Fachbücher zur angewandten Mathematik und zur Optimierung und hat mehr als 160 Beiträge in wissenschaftlichen Zeitschriften veröffentlicht.
Inhaltsverzeichnis
Tutorial Papers: P. Kall: Bounds for and Approximation to Stochastic Linear Programs with Recourse - Tutorial.- D. Dentcheva, W. Römisch: Optimal Power Generation under Uncertainty via Stochastic Programming.- G. Prokop, F. Pfeiffer: Position and Controller Optimization for Robotic Parts Mating.- M. Gasser, G.I. Schuëller: Some Basic Principles of Reliability-Based Optimization(RBO) of Structures and Mechanical Compontents.- Theoretical Models and Conceptual Methods: V.I. Arkin: Stochastic Optimization Approach to Dynamic Problems with Jump Changing Structure.- J. Dupacová: Reflections on Robust Optimization.- Y. Ermoliev, V. Norkin: On Constrained Discontinuous Optimization.- Yu.S. Kan, A.A. Mistryukov: On the Equivalence in Stochastic Programming with Probability and Quantile Objectives.- V. Kanková: A Note on Multifunctions in Stochastic Programming.- R. Lepp: Approximation to Extremum Problems with Probability Cost Functionals.- V. Norkin: Global Optimization of Probabilities by the Stochastic Branch and Bound Method.- B.T. Polyak: Robust Stability of Interval Matrices: a Stochastic Approach.- R. Schultz: A Note on Preprocessing via Fourier-Motzkin Elimination in Two-Stage Stochastic Programming.- T. Szántai: Bounds for the Reliability of k-out-of-connected-(r,s)-from-(m,n): F Lattice Systems.- T. Rapcsák, A. Vásárhelyi: On a Relation between Problems of Calculus of Variations and Mathematical Programming.- Numerical Methods and Computer Support: K.-J. Böttcher: Parameter Sensitivity of Deterministic and Stochastic Search Methods.- I. Deák: Regression Estimators Related to Multinormal Distributions: Computer Experiences in Root Finding.- P. Eberhard, Ch. Bischof: Some Aspects of Algorithmic Differentiation of Ordinary Differential Equations.-K. Frauendorfer, Ch. Marohn: Refinement Issues in Stochastic Multistage Linear Programming.- P. Kall, J. Mayer: On Solving Stochastic Linear Programming Problems.- Technical Applications: R. Antkiewicz, A. Manikowski: On an ON/OFF Type Source with Long Range Correlations.- K. Breitung, F. Casciati, L. Faravelli: Optimization Methods in Structural Reliability.- J. Gawinecki, L. Kowalski: Mathematical Aspects of the Boundary Initial Value Problems for Thermoelasticity Theory of Non-simple Materials with Control for Temperature.- S. Qu: Stochastic Trajectory Planning for Manutec r3 with Random Payload.- J. Reinhart: Implementation of the Response Surface Method (RSM) for Stochastic Structural Optimization Problems.- M. H. van Houten, A. J. G. Schoofs, D. H. van Campen: Optimization of an Engine Air Intake System for Minimum Noise Transmission using Function Approximation Concepts.- R. Deges, T. Vietor: Stochastic Structural Optimization of Powertrain Mounting Systems with Dynamic Constraints.
Klappentext
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 planning phase. The original problem with random parameters must be replaced by an appropriate deterministic substitute problem, and efficient numerical solution or approximation techniques have to be developed for those problems. This proceedings volume contains a selection of papers on modelling techniques, approximation methods, numerical solution procedures for stochastic optimization problems and applications to the reliability-based optimization of concrete technical or economic systems.
The book presents * basic modelling techniques, * new theoretical models and conceptual solution techniques, * new numerical methods and computer support and * technical applications of stochastic optimization.
