Optimization, Simulation, and Control

✍ Scribed by Pietro Belotti, Sonia Cafieri, Jon Lee (auth.), Altannar Chinchuluun, Panos M. Pardalos, Rentsen Enkhbat, E. N. Pistikopoulos (eds.)

• Publisher: Springer-Verlag New York
• Year: 2013
• Tongue: English
• Leaves: 350
• Series: Springer Optimization and Its Applications 76
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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

✦ Subjects

Optimization; Systems Theory, Control; Mathematical Modeling and Industrial Mathematics