Synopses & Reviews
This book will present the papers delivered at the first U.S. conference devoted exclusively to global optimization and will thus provide valuable insights into the significant research on the topic that has been emerging during recent years. Held at Princeton University in May 1991, the conference brought together an interdisciplinary group of the most active developers of algorithms for global optimization in order to focus the attention of the mathematical programming community on the unsolved problems and diverse applications of this field. The main subjects addressed at the conference were advances in deterministic and stochastic methods for global optimization, parallel algorithms for global optimization problems, and applications of global optimization. Although global optimization is primarily a mathematical problem, it is relevant to several other disciplines, including computer science, applied mathematics, physical chemistry, molecular biology, statistics, physics, engineering, operations research, communication theory, and economics. Global optimization problems originate from a wide variety of mathematical models of real-world systems. Some of its applications are allocation and location problems and VLSI and data-base design problems.
Originally published in 1991.
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Review
"This excellent book covers a broad range of topics (all in the area of global optimization).... This volume would be a valuable addition to the library of all those doing active research in global optimization and its applications. In addition, the book is well suited as a reference for scientists working in related disciplines."--Journal of Global Optimization
Table of Contents
| Preface | |
| On Approximation Algorithms for Concave Quadratic Programming | 3 |
| A New Complexity Result on Minimization of a Quadratic Function with a Sphere Constraint | 19 |
| Hamiltonian Cycles, Quadratic Programming, and Ranking of Extreme Points | 32 |
| Performance of Local Search in Minimum Concave-Cost Network Flow Problems | 50 |
| Solution of the Concave Linear Complementary Problem | 76 |
| Global Solvability of Generalized Linear Complementarity Problems and a Related Class of Polynomial Complementarity Problems | 102 |
| A Continuous Approach to Compute Upper Bounds in Quadratic Maximization Problems with Integer Constraints | 125 |
| A Class of Global Optimization Problems Solvable by Sequential Unconstrained Convex Minimization | 141 |
| A New Cutting Plane Algorithm for a Class of Reverse Convex 0-1 Integer Programs | 152 |
| Global Optimization of Problems with Polynomial Functions in One Variable | 165 |
| One Dimensional Global Optimization Using Linear Lower Bounds | 200 |
| Optimizing the Sum of Linear Fractional Functions | 221 |
| Minimizing and Maximizing the Product of Linear Fractional Functions | 259 |
| Numerical Methods for Global Optimization | 274 |
| Integral Global Optimization of Constrained Problems in Functional Spaces with Discontinuous Penalty Functions | 298 |
| Rigorous Methods for Global Optimization | 321 |
| Global Optimization of Composite Laminates Using Improving Hit and Run | 343 |
| Stochastic Minimization of Lipschitz Functions | 369 |
| Topographical Global Optimization | 384 |
| Lipschitzian Global Optimization: Some Prospective Applications | 399 |
| Packet Annealing: A Deterministic Method for Global Minimization, Application to Molecular Conformation | 433 |
| Mixed-Integer Linear Programming Reformulations for Some Nonlinear Discrete Design Optimization Problems | 478 |
| Mixed-Integer Nonlinear Programming on Generalized Networks | 513 |
| Global Minima in Root Finding | 543 |
| Homotopy-Continuation Algorithm for Global Optimization | 561 |
| Space-Covering Approach and Modified Frank-Wolfe Algorithm for Optimal Nuclear Reactor Reload Design | 593 |
| A Global Optimization Approach to Software Testing | 616 |