Introduction to Linear Programming

Author: (USA) Vaserstein, Xie Jinxing
Publisher:
Publish Date: 2006-01-01
Features: Linear programming is a branch of operations research. It is a simple, fundamental, and widely used method in the field of optimization problems, and is widely applied in industries, agriculture, military, transportation, decision-making management and planning, scientific experiments, and other fields. This book evolved from an advanced undergraduate mathematics course, covering the basic topics of linear programming while including many advanced topics. Additionally, the book provides numerous examples and exercises of varying difficulty levels, offering students opportunities for progressive improvement. Starting from an introductory level, the book assumes only a minimal mathematical foundation, making it suitable for students with different mathematical backgrounds and from various disciplines, including mathematics, computer science, statistics, engineering science, actuarial science, computer engineering, and business management. This textbook evolved from an advanced undergraduate mathematics course. The book covers the basic topics of linear programming while including many advanced topics. Through exercises of varying difficulty levels, it provides students with opportunities for progressive improvement and allows outstanding students to undertake more challenging tasks. Features of the Book
■ Emphasizes logical reasoning and application modeling, enabling students from non-mathematical disciplines such as management, economics, and operations research to learn and apply linear programming in their respective fields.
■ Applies mathematical tools without relying on rigorous mathematical research progress, providing theoretical foundations for advanced research for mathematics majors.
■ Exercises of varying difficulty levels offer challenging tasks for students of different abilities.
■ The appendix introduces more in-depth material on mathematical programming, offering advanced topics for mathematics majors and references to established methods for applied students.
■ Presents a systematic methodology for modeling problems, guiding students on how to develop modeling as a skill rather than relying on intuition to solve problems.
■ Utilizes computer software to solve linear programming problems, instructing students on how to use various computer software packages and online tools for solving linear programming problems. Linear programming is a branch of operations research. It is a simple, fundamental, and widely used method in the field of optimization problems, and is widely applied in industries, agriculture, military, transportation, decision-making management and planning, scientific experiments, and other fields. This book evolved from an advanced undergraduate mathematics course, covering the basic topics of linear programming while including many advanced topics. Additionally, the book provides numerous examples and exercises of varying difficulty levels, offering students opportunities for progressive improvement. Starting from an introductory level, the book assumes only a minimal mathematical foundation, making it suitable for students with different mathematical backgrounds and from various disciplines, including mathematics, computer science, statistics, engineering science, actuarial science, computer engineering, and business management.