Operations Research General Theory

Author: Wei Quanling
Publisher:
Publish Date: 1998-08-01
Features: The new edition of "Introduction to Operations Research" includes some simpler proofs when discussing the main branches of operations research. On one hand, this helps clarify the concepts; on the other hand, it enhances students' ability to use mathematics for creative problem-solving through operations research teaching. The book has a broad readership. "Fundamentals of Applied Mathematics in Economics" is a trial teaching material for higher financial and economic institutions, commissioned by the Ministry of Education. The book is divided into five volumes in total. "Introduction to Operations Research" is the fifth volume of this series. The new edition includes simpler proofs when discussing the main branches of operations research. On one hand, this helps clarify the concepts; on one hand, it enhances students' ability to use mathematics for creative problem-solving through operations research teaching. Some chapters have been strengthened, such as game theory and nonlinear programming. The addition of game theory content is to meet the current need for more extensive use of economic game theory in fields such as economics, management, and finance to study real-world problems. The strengthening of certain theoretical aspects in nonlinear programming (especially the Kuhn-Tucker theorem) is because these theories serve as the foundation for discussions in fields such as economics (e.g., microeconomics, mathematical economics, quantitative economics, etc.). Additionally, a new chapter has been added on a new area in operations research—data envelopment analysis (DEA). Certain chapters have also been removed, such as the chapter on "Quality Management." Furthermore, a new chapter on "Linear Programming" has been added, providing an introduction to linear programming (the book "Linear Programming" by Hu Fuchang has been published as an independent book within "Fundamentals of Applied Mathematics in Economics"). The addition of this chapter is because subsequent chapters in the book (e.g., nonlinear programming, multi-objective programming, integer programming, game theory, data envelopment analysis, etc.) require certain concepts from linear programming.