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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)
A computationally oriented comparison of solution algorithms for
two stage and jointly chance constrained stochastic linear
programming problems, this is the first book to present comparative
computational results with several major stochastic programming
solution approaches.
The following methods are considered: regularized decomposition,
stochastic decomposition and successive discrete approximation
methods for two stage problems; cutting plane methods, and a
reduced gradient method for jointly chance constrained problems.
The first part of the book introduces the algorithms, including a
unified approach to decomposition methods and their regularized
counterparts. The second part addresses computer implementation of
the methods, describes a testing environment based on a model
management system, and presents comparative computational results
with the various algorithms. Emphasis is on the computational
behavior of the algorithms.
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)
The book contains description of a real life application of modern
mathematical optimization tools in an important problem solution
for power networks. The objective is the modelling and calculation
of optimal daily scheduling of power generation, by thermal power
plants, to satisfy all demands at minimum cost, in such a way that
the generation and transmission capacities as well as the demands
at the nodes of the system appear in an integrated form. The
physical parameters of the network are also taken into account. The
obtained large-scale mixed variable problem is relaxed in a smart,
practical way, to allow for fast numerical solution of the problem.
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