Mathematical Programming

Author: Huang Hongxuan
Publisher:
Publish Date: 2006-03-01
Features: This book focuses on mathematical programming, introducing methods for analyzing and solving common optimization problems from theoretical, algorithmic, and computational perspectives. The book is divided into 8 chapters. Chapter 1 introduces examples, models, and fundamental knowledge of mathematical programming involved in analyzing optimization problems. Chapters 2 to 8 discuss seven aspects: convex analysis, linear programming, unconstrained optimization, constrained optimization, multi-objective programming, combinatorial optimization, integer programming, and global optimization, respectively. Additionally, each chapter includes a section with exercises, and the end of the book lists references and an index. This book can serve as a textbook for graduate students and senior undergraduate students in applied mathematics, computational mathematics, operations research and control theory, management science and engineering, industrial engineering, and systems engineering to study mathematical programming. It can also be used as a reference book for researchers and engineers in various disciplines who need to use mathematical programming methods for modeling and solving practical problems.