Optimization and Optimal Control: Theory and Applications

✍ Scribed by Anatoly Antipin (auth.), Altannar Chinchuluun, Panos M. Pardalos, Rentsen Enkhbat, Ider Tseveendorj (eds.)

• Publisher: Springer-Verlag New York
• Year: 2010
• Tongue: English
• Leaves: 510
• Series: Springer Optimization and Its Applications 39
• Edition: 1
• Category: Library

✦ Synopsis

Optimization and optimal control are the main tools in decision making. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. “Optimization and Optimal Control: Theory and Applications” 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 with optimization and optimal control either at a theoretical level or in practice. Some key topics presented include: equilibrium problems, stochastic processes, decision algorithms, scheduling, queuing theory, quantum computing, agriculture, and industrial operations. 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 and optimal control can be applied.

✦ Table of Contents

Front Matter....Pages i-xiii
Sensibility Function as Convolution of System of Optimization Problems....Pages 1-21
Post-Optimal Analysis of Linear Semi-Infinite Programs....Pages 23-53
On Equilibrium Problems....Pages 55-83
Scalarly Compactness, ( S ) + -Type Conditions, Variational Inequalities and Complementarity Problems in Banach Spaces....Pages 85-104
Quasi-equilibrium Inclusion Problems of the Blum–Oettli-Type and Related Problems....Pages 105-119
General Quadratic Programming and Its Applications in Response Surface Analysis....Pages 121-137
Canonical Dual Solutions for Fixed Cost Quadratic Programs....Pages 139-156
Algorithms of Quasidifferentiable Optimization for the Separation of Point Sets....Pages 157-167
A Hybrid Evolutionary Algorithm for Global Optimization....Pages 169-184
Gap Functions for Vector Equilibrium Problems via Conjugate Duality....Pages 185-197
Polynomially Solvable Cases of Binary Quadratic Programs....Pages 199-225
Generalized Solutions of Multi-valued Monotone Quasi-variational Inequalities....Pages 227-240
Optimal Feedback Control for Stochastic Impulsive Linear Systems Subject to Poisson Processes....Pages 241-258
Analysis of Differential Inclusions: Feedback Control Method....Pages 259-275
A Game Theoretic Algorithm to Solve Riccati and Hamilton—Jacobi—Bellman—Isaacs (HJBI) Equations in H ∞ Control....Pages 277-308
Online Adaptive Optimal Control Based on Reinforcement Learning....Pages 309-323
Perturbation Methods in Optimal Control Problems....Pages 325-373
Stochastic Optimal Control with Applications in Financial Engineering....Pages 375-408
A Nonlinear Optimal Control Approach to Process Scheduling....Pages 409-421
Hadamard’s Matrices, Grothendieck’s Constant, and Root Two....Pages 423-447
On the Pasture Territories Covering Maximal Grass....Pages 449-461
On Solvability of the Rate Control Problem in Wired-cum-Wireless Networks....Pages 463-478
Integer Programming of Biclustering Based on Graph Models....Pages 479-498
A Random Arrival Time Best-Choice Problem with Uniform Prior on the Number of Arrivals....Pages 499-510

✦ Subjects

Calculus of Variations and Optimal Control; Optimization; Mathematical Modeling and Industrial Mathematics; Operations Research, Management Science