Peter Kall - Böcker

Authored by two of the field's most prominent researchers, this new edition has been comprehensively updated, with new material on contemporary models and methods including stochastic DEA models, material on Sharpe-ratio, and asset liability management.

This new edition of Stochastic Linear Programming: Models, Theory and Computation has been brought completely up to date, either dealing with or at least referring to new material on models and methods, including DEA with stochastic outputs modeled via constraints on special risk functions (generalizing chance constraints, ICC’s and CVaR constraints), material on Sharpe-ratio, and Asset Liability Management models involving CVaR in a multi-stage setup. To facilitate use as a text, exercises are included throughout the book, and web access is provided to a student version of the authors’ SLP-IOR software. Additionally, the authors have updated the Guide to Available Software, and they have included newer algorithms and modeling systems for SLP. The book is thus suitable as a text for advanced courses in stochastic optimization, and as a reference to the field.From Reviews of the First Edition:"The book presents a comprehensive study of stochastic linear optimization problems and their applications. … The presentation includes geometric interpretation, linear programming duality, and the simplex method in its primal and dual forms. … The authors have made an effort to collect … the most useful recent ideas and algorithms in this area. … A guide to the existing software is included as well." (Darinka Dentcheva, Mathematical Reviews, Issue 2006 c)"This is a graduate text in optimisation whose main emphasis is in stochastic programming. The book is clearly written. … This is a good book for providing mathematicians, economists and engineers with an almost complete start up information for working in the field. I heartily welcome its publication. … It is evident that this book will constitute an obligatory reference source for the specialists of the field." (Carlos Narciso Bouza Herrera, Zentralblatt MATH, Vol. 1104 (6), 2007)

Contents: Optimality and Duality. - Mathematical Programming- Algorithms: -Computational Geometry. - DiscreteOptimization. - Linear programming and Complementarity. -Nonlinear Programming. - Optimal Control: - ControlProblems. - Distributed Parameter Systems; StochasticProgramming; Applied Modelling and Optimization: Biologicaland Medical Systems. - Computer-aided Modelling and Design.-Ecology. - Economy and Energy. - Financial Services. -Production and Logistics. - Stochastic Modelling.

In order to obtain more reliable optimal solutions of concrete technical/economic problems, e.g. optimal design problems, the often known stochastic variations of many technical/economic parameters have to be taken into account already in the planning phase. Hence, ordinary mathematical programs have to be replaced by appropriate stochastic programs. New theoretical insight into several branches of reliability-oriented optimization of stochastic systems, new computational approaches and technical/economic applications of stochastic programming methods can be found in this volume.

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.

This proceedings volume contains 6 invited state of the art lectures and 50 contributed papers presented at OR 98 held at the Swiss Federal Institute of Technology (ETH) Zurich, 31 August - 3 September 1998. This 4-annual international conference was jointly organized by the Swiss, German and Austrian OR-societies and co-sponsored by SIGOPT. The conference had 450 particpants from 36 countries around the world. The proceedings of this conference are subdivided according to the eleven sections of the conference, namely - Continuous Mathematical Optimization (8 papers), - Discrete Mathematical Optimization (12 papers), - Stochastic Modelling, Optimization & Simulation (4 papers), - Econometrics & Statistics (3 papers), - Mathematical Economics, Game Theory & Decision Theory (3 papers), - Banking & Finance (2 papers), - Operations & Production Management (3 papers), - Energy & Ecology (1 paper), - Telecommunication (4 papers), - Logistics & Transportation (10 papers), - Fuzzy Systems & Neural Networks (3 papers), - GOR Diploma Prize (1 paper).