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The proposed book provides a comprehensive coverage of theory and
methods in the areas of continuous optimization and variational
inequality. It describes theory and solution methods for
optimization with smooth and non-smooth functions, for variational
inequalities with single-valued and multivalued mappings, and for
related classes such as mixed variational inequalities,
complementarity problems, and general equilibrium problems. The
emphasis is made on revealing generic properties of these problems
that allow creation of efficient solution methods. Salient Features
The book presents a deep, wide-ranging introduction to the theory
of the optimal control of processes governed by optimization
techniques and variational inequality Several solution methods are
provided which will help the reader to develop various optimization
tools for real-life problems which can be modeled by optimization
techniques involving linear and nonlinear functions. The book
focuses on most recent contributions in the nonlinear phenomena,
which can appear in various areas of human activities. This book
also presents relevant mathematics clearly and simply to help solve
real life problems in diverse fields such as mechanical
engineering, management, control behavior, traffic signal,
industry, etc. This book is aimed primarily at advanced
undergraduates and graduate students pursuing computer engineering
and electrical engineering courses. Researchers, academicians and
industry people will also find this book useful.
This book deals with several types of multi-dimensional control
problems in the face of data uncertainty for vector
cases-multi-dimensional multi-objective control problem with
uncertain objective functionals, uncertain constraint functionals,
and uncertain objective as well as constraint functionals,
uncertain multi-dimensional multi-objective control problem with
semi-infinite constraints, uncertain dual multi-dimensional
multi-objective variational control problem, and second-order
PDE&PDI constrained robust optimization problem. The book
provides the solution approaches-an exact l1 penalty function
approach, modified objective approach, robust approach-in the
simplest way to solve the recent developing optimization problems
in the sense of uncertainty.
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