Engineering Optimization Methods and Their Applications

Author: Zhang Kecun, Li Huanqin
Publisher:
Publish Date: 2007-02-01
Features: The main content of this book includes: the mathematical foundation of engineering optimization, various local and global optimization methods in deterministic and nondeterministic settings, as well as the conditions and conclusions for their convergence and divergence, along with recent advancements. Deterministic optimization includes: common and well-known algorithms in the descent algorithm and conjugate algorithm classes for solving unconstrained programming problems; three main approaches for solving constrained programming problems: transforming them into unconstrained programming problems using various local and global methods, constructing feasible descent directions based on the characteristics of the constraint region, and constructing a sequence of special optimal solution methods to approximate the optimal solution of the original problem; four types of special programming (linear, quadratic, geometric, and D.C. programming), common and well-known algorithms for multi-objective programming, and optimization application examples. Nondeterministic optimization includes: modern intelligent optimization algorithms for solving various optimization problems, such as simulated annealing, genetic algorithms, particle swarm optimization, and ant colony optimization; typical methods for solving optimization problems with discrete variables; typical methods for solving optimization problems with random variables; dynamic programming models and algorithms. This book can serve as a textbook for graduate, doctoral, and senior undergraduate students in various disciplines and fields, as well as a reference book for engineering and technical personnel for self-study.