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.

Preface.-On the Composition of Convex Envelopes for Quadrilinear Terms (P. Belotti, S. Cafieri, J. Lee, L. Liberti, A. Miller).-An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities (L. Altangerel, G. Wanka).-Optimal Inscribing of Two Balls into Polyhedral Set (R. Enkhbat, B. Barsbold).-Mathematical Programs with Equilibrium Constraints: A Brief Survey of Methods and optimality conditions (I. Tseveendorj).-Linear programming with interval data: a Two-Level Programming Approach (C. Kao, S. Liu).-Quantifying Retardation in Simulation Based Optimization (A. Griewank, A. Hamdi, E. Ozkaya).-Evolutionary Algorithm for Generalized Nash Equilibrium Problems (M. Majig, R. Enkhbat, M. Fukushima).-8. Scalar and Vector Optimization with Composed Objective Functions and Constraints (N. Lorenze, G. Wanka).-9. A PTAS for Weak Minimum Routing Cost Connected Dominating Set of Unit Disk Graph (Q. Liu, Z. Zhang, Y. Hong, W. Wu, D. Du).-10. Power Control in Wireless Ad-Hoc Networks: Stability and Convergence Under Uncertainties (T. Charalambous).-The Changing Role of Optimization in Urban Planning (J. Keirstead, N. Shah).-Parametric Optimization Approach to the Solow Growth Theory (R. Enkhbat, D. Bayanjargal ).-Cyclical Fluctuations in Continuous Time Dynamic Optimization Models: Survey of General Theory and an Application to Dynamic Limit Pricing (T. Asada).-Controlling Of Processes By Optimized Expert Systems (W. Lippe).-Using Homotopy Method to Solve Bang-bang Optimal Control Problems (Z. Gao, H. Baoyin).-A Collection of Test Multiextremal Optimal Control Problems (A. Gornov, T. Zarodnyuk, T. Madzhara, A. Daneeva, I. Veyalko).-A Multimethod Technique for Solving Optimal Control Problem (A. Tyatyushkin).-Algorithm for Solving Nonconvex Optimal Control Problems (A. Gornov, T. Zarodnyuk).-SolvingLinear Systems with Polynomial Parameter Dependency with Application to the Verified Solution of Problems in Structural Mechanics (J. Garloff, E. Popova, A. Smith).-A fast block Krylov implicit Runge-Kutta method for solving large-scale ordinary differential equations (A. Bouhamidi, K. Jbilou).-Semilocal convergence with R-order Three Theorems for the Chebyshev Method and its Modifications (Z. Tugal, K. Dashdondog)