Ebook: Optimization, Simulation, and Control

Optimization, simulation and control play an increasingly important role in science and industry. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace.

This volume brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems. The book is composed of invited contributions by experts from around the world who work to develop and apply new optimization, simulation and control techniques either at a theoretical level or in practice. Some key topics presented include: equilibrium problems, multi-objective optimization, variational inequalities, stochastic processes, numerical analysis, optimization in signal processing, and various other interdisciplinary applications.

This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization, simulation and control can be applied.

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Optimization, simulation and control are very powerful tools in engineering and mathematics, and play an increasingly important role. Because of their various real-world applications in industries such as finance, economics, and telecommunications, research in these fields is accelerating at a rapid pace, and there have been major algorithmic and theoretical developments in these fields in the last decade.

This volume brings together the latest developments in these areas of research and presents applications of these results to a wide range of real-world problems. The book is composed of invited contributions by experts from around the world who work to develop and apply new optimization, simulation, and control techniques either at a theoretical level or in practice. Some key topics presented include: equilibrium problems, multi-objective optimization, variational inequalities, stochastic processes, numerical analysis, optimization in signal processing, and various other interdisciplinary applications.

This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization, simulation and control can be applied.

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Optimization, simulation and control are very powerful tools in engineering and mathematics, and play an increasingly important role. Because of their various real-world applications in industries such as finance, economics, and telecommunications, research in these fields is accelerating at a rapid pace, and there have been major algorithmic and theoretical developments in these fields in the last decade.

This volume brings together the latest developments in these areas of research and presents applications of these results to a wide range of real-world problems. The book is composed of invited contributions by experts from around the world who work to develop and apply new optimization, simulation, and control techniques either at a theoretical level or in practice. Some key topics presented include: equilibrium problems, multi-objective optimization, variational inequalities, stochastic processes, numerical analysis, optimization in signal processing, and various other interdisciplinary applications.

This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization, simulation and control can be applied.

Content:
Front Matter....Pages i-xii
On the Composition of Convex Envelopes for Quadrilinear Terms....Pages 1-16
An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities....Pages 17-34
Optimal Inscribing of Two Balls into Polyhedral Set....Pages 35-47
Mathematical Programs with Equilibrium Constraints: A Brief Survey of Methods and Optimality Conditions....Pages 49-61
Linear Programming with Interval Data: A Two-Level Programming Approach....Pages 63-77
Quantifying Retardation in Simulation Based Optimization....Pages 79-96
Evolutionary Algorithm for Generalized Nash Equilibrium Problems....Pages 97-106
Scalar and Vector Optimization with Composed Objective Functions and Constraints....Pages 107-130
A PTAS for Weak Minimum Routing Cost Connected Dominating Set of Unit Disk Graph....Pages 131-142
Power Control in Wireless Ad Hoc Networks: Stability and Convergence Under Uncertainties....Pages 143-174
The Changing Role of Optimization in Urban Planning....Pages 175-193
Parametric Optimization Approach to the Solow Growth Theory....Pages 195-203
Cyclical Fluctuations in Continuous Time Dynamic Optimization Models: Survey of General Theory and an Application to Dynamic Limit Pricing....Pages 205-228
Controlling of Processes by Optimized Expertsystems....Pages 229-241
Using Homotopy Method to Solve Bang–Bang Optimal Control Problems....Pages 243-256
A Collection of Test Multiextremal Optimal Control Problems....Pages 257-274
A Multimethod Technique for Solving Optimal Control Problem....Pages 275-288
Tunneling Algorithm for Solving Nonconvex Optimal Control Problems....Pages 289-299
Solving Linear Systems with Polynomial Parameter Dependency with Application to the Verified Solution of Problems in Structural Mechanics....Pages 301-318
A Fast Block Krylov Implicit Runge–Kutta Method for Solving Large-Scale Ordinary Differential Equations....Pages 319-330
Semilocal Convergence with R-Order Three Theorems for the Chebyshev Method and Its Modifications....Pages 331-345

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Optimization, simulation and control are very powerful tools in engineering and mathematics, and play an increasingly important role. Because of their various real-world applications in industries such as finance, economics, and telecommunications, research in these fields is accelerating at a rapid pace, and there have been major algorithmic and theoretical developments in these fields in the last decade.

This volume brings together the latest developments in these areas of research and presents applications of these results to a wide range of real-world problems. The book is composed of invited contributions by experts from around the world who work to develop and apply new optimization, simulation, and control techniques either at a theoretical level or in practice. Some key topics presented include: equilibrium problems, multi-objective optimization, variational inequalities, stochastic processes, numerical analysis, optimization in signal processing, and various other interdisciplinary applications.

This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization, simulation and control can be applied.

Content:
Front Matter....Pages i-xii
On the Composition of Convex Envelopes for Quadrilinear Terms....Pages 1-16
An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities....Pages 17-34
Optimal Inscribing of Two Balls into Polyhedral Set....Pages 35-47
Mathematical Programs with Equilibrium Constraints: A Brief Survey of Methods and Optimality Conditions....Pages 49-61
Linear Programming with Interval Data: A Two-Level Programming Approach....Pages 63-77
Quantifying Retardation in Simulation Based Optimization....Pages 79-96
Evolutionary Algorithm for Generalized Nash Equilibrium Problems....Pages 97-106
Scalar and Vector Optimization with Composed Objective Functions and Constraints....Pages 107-130
A PTAS for Weak Minimum Routing Cost Connected Dominating Set of Unit Disk Graph....Pages 131-142
Power Control in Wireless Ad Hoc Networks: Stability and Convergence Under Uncertainties....Pages 143-174
The Changing Role of Optimization in Urban Planning....Pages 175-193
Parametric Optimization Approach to the Solow Growth Theory....Pages 195-203
Cyclical Fluctuations in Continuous Time Dynamic Optimization Models: Survey of General Theory and an Application to Dynamic Limit Pricing....Pages 205-228
Controlling of Processes by Optimized Expertsystems....Pages 229-241
Using Homotopy Method to Solve Bang–Bang Optimal Control Problems....Pages 243-256
A Collection of Test Multiextremal Optimal Control Problems....Pages 257-274
A Multimethod Technique for Solving Optimal Control Problem....Pages 275-288
Tunneling Algorithm for Solving Nonconvex Optimal Control Problems....Pages 289-299
Solving Linear Systems with Polynomial Parameter Dependency with Application to the Verified Solution of Problems in Structural Mechanics....Pages 301-318
A Fast Block Krylov Implicit Runge–Kutta Method for Solving Large-Scale Ordinary Differential Equations....Pages 319-330
Semilocal Convergence with R-Order Three Theorems for the Chebyshev Method and Its Modifications....Pages 331-345
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