Overview

Optimization problems abound in most fields of science, engineering and technology. In many of these problems it is necessary to compute the global optimum (or a good approximation) of a multivariable function. The variables that define the function to be optimized can be continuous and/or discrete and, in addition, they often have to satisfy certain constraints. Global optimization problems belong to the complexity class of NP-hard problems. Such problems are difficult to solve; traditional descent optimization algorithms based on local information are inadequate for solving them. In most cases of practical interest the number of local optima increases, on the average, exponentially with the size of the problem (number of variables). Furthermore, most of the traditional approaches fail to escape from a local optimum in order to continue the search for the global solution. Global optimization has received a lot of attention in recent years, due to the success of new algorithms for solving large classes of problems from diverse areas such as computational chemistry and biology, structural optimization, computer sciences, operations research, economics, and engineering design and control. This work contains papers presented at the conference on ""State of the Art in Global Optimization: Computational Methods and Applications"" held at Princeton University, April 28-30, 1995. The conference presented current research on global optimization and related applications in science and engineering. The papers included cover a wide spectrum of approaches for solving global optimization problems and applications.

Full Product Details

Author:   Christodoulos A. Floudas ,  Panos M. Pardalos
Publisher:   Springer
Imprint:   Springer
Edition:   1996 ed.
Volume:   7
Dimensions:   Width: 15.50cm , Height: 3.60cm , Length: 23.50cm
Weight:   2.440kg
ISBN:  

9780792338383

ISBN 10:   0792338383
Pages:   654
Publication Date:   29 February 1996
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Lagrange Duality in Partly Convex Programming.- Global Optimization using Hyperbolic Cross Points.- Global Minimization of Separable Concave Functions under Linear Constraints with Totally Unimodular Matrices.- On Existence of Robust Minimizers.- A Branch and Bound Algorithm for the Quadratic Assignment Problem using a Lower Bound Based on Linear Programming.- Dynamic Matrix Factorization Methods for using Formulations Derived from Higher Order Lifting Techniques in the Solution of the Quadratic Assignment Problem.- Conical Coercivity Conditions and Global Minimization on Cones. An Existence Result.- The use of Ordinary Differential Equations in Quadratic Maximization with Integer Constraints.- Adaptive Control via Non-Convex Optimization.- A Decomposition-Based Global Optimization Approach for Solving Bilevel Linear and Quadratic Problems.- Generalized TRUST Algorithms for Global Optimization.- Test Results for an Interval Branch and Bound Algorithm for Equality-Constrained Optimization.- Equivalent Methods for Global Optimization.- A C++ Class Library for Interval Arithmetic in Global Optimization.- On the Convergence of Localisation Search.- Stochastic Approximation with Smoothing for Optimization of an Adaptive Recursive Filter.- The Grouping Genetic Algorithm.- Accelerating Convergence of Branch-and-Bound Algorithms for Quadratically Constrained Optimization Problems.- Distributed Decomposition-Based Approaches in Global Optimization.- A Finite Algorithm for Global Minimization of Separable Concave Programs.- A Pseudo ?-Approximate Algorithm for Feedback Vertex Set.- Iterative Topographical Global Optimization.- Global Optimization for the Chemical and Phase Equilibrium Problem using Interval Analysis.- Nonconvex Global Optimization of the Separable ResourceAllocation Problem with Continuous Variables.- A. D.C. Approach to the Largest Empty Sphere Problem in Higher Dimension.- A General D.C. Approach to Location Problems.- Global Optimization by Parallel Constrained Biased Random Search.- Global Optimization Problems in Computer Vision.- An Application of Optimization to the Problem of Climate Change.- Dynamic Visualization in Modelling and Optimization of Ill Defined Problems.- A New Global Optimization Algorithm for Batch Process Scheduling.- Nonconvexity and Descent in Nonlinear Programming.- Global Optimization of Chemical Processes using Stochastic Algorithms.- Logic-Based Outer-Approximation and Benders Decomposition Algorithms for the Synthesis of Process Networks.- Combinatorially Accelerated Branch-and-Bound Method for Solving the MIP Model of Process Network Synthesis.- Discrete Optimization using String Encodings for the Synthesis of Complete Chemical Processes.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions