Title | Probabilistic Constrained Optimization [electronic resource] : Methodology and Applications / edited by Stanislav P. Uryasev |
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Imprint | Boston, MA : Springer US : Imprint: Springer, 2000 |

Connect to | http://dx.doi.org/10.1007/978-1-4757-3150-7 |

Descript | XII, 308 p. online resource |

SUMMARY

Probabilistic and percentile/quantile functions play an important role in several applications, such as finance (Value-at-Risk), nuclear safety, and the environment. Recently, significant advances have been made in sensitivity analysis and optimization of probabilistic functions, which is the basis for construction of new efficient approaches. This book presents the state of the art in the theory of optimization of probabilistic functions and several engineering and finance applications, including material flow systems, production planning, Value-at-Risk, asset and liability management, and optimal trading strategies for financial derivatives (options). Audience: The book is a valuable source of information for faculty, students, researchers, and practitioners in financial engineering, operation research, optimization, computer science, and related areas

CONTENT

to the Theory of Probabilistic Functions and Percentiles -- Pricing American Options by Simulation Using a Stochastic Mesh with Optimized Weights -- On Optimization of Unreliable Material Flow Systems -- Stochastic Optimization in Asset & Liability Management: A Model for Non-Maturing Accounts -- Optimization in the Space of Distribution Functions and Applications in the Bayes Analysis -- Sensitivity Analysis of Worst-Case Distribution for Probability Optimization Problems -- On Maximum Reliability Problem in Parallel-Series Systems with Two Failure Modes -- Robust Monte Carlo Simulation for Approximate Covariance Matrices and VaR Analyses -- Structure of Optimal Stopping Strategies for American Type Options -- Approximation of Value-at-Risk Problems with Decision Rules -- Managing Risk with Expected Shortfall -- On the Numerical Solution of Jointly Chance Constrained Problems -- Management of Quality of Service through Chance-constraints in Multimedia Networks -- Solution of a Product Substitution Problem Using Stochastic Programming -- Some Remarks on the Value-at-Risk and the Conditional Value-at-Risk -- Statistical Inference of Stochastic Optimization Problems

Mathematics
Operations research
Decision making
Finance
Numerical analysis
Mathematical models
Calculus of variations
Industrial engineering
Production engineering
Mathematics
Calculus of Variations and Optimal Control; Optimization
Industrial and Production Engineering
Finance general
Operation Research/Decision Theory
Mathematical Modeling and Industrial Mathematics
Numeric Computing