Linear Optimization and Duality: A Modern Exposition

ISBN-13: 9781439887462 / Angielski / Twarda / 2020 / 555 str.

Craig A. Tovey

Opis

This textbook presents a theoretical treatment of linear programming, network flows and applications, integer programming, and computational complexity. The author includes a rigorous discussion of theory, numerous examples and exercises, and geometric intuitive explanations. He also offers computational tips and interpretation of software input. Unlike other books, this text incorporates duality throughout its chapters, rather than treating it as an add-on topic. It also discusses computational complexity theory, which can be used to classify problems according to the appropriate solution method.

Spis treści

Introduction. Formulating and Solving Linear Programs. Polyhedra. The Simplex Method and Its Variants. The Geography of Mount Duality. Sensitivity Analysis and Other Predictions. Networks. Logarithmic Barrier and Other Interior-Point Methods. Advanced Topics on Polyhedra. Formulating and Solving Integer Programs. Computational Complexity. Conclusions and Recommended Reading. Answers to Questions.

O autorze

Craig A. Tovey is a professor at Georgia Tech. Institute.