Linear Programming

"Surveys linear programming from the Simplex Method...via the Ellipsoid algorithm to Karmarkar's algorithm. Moreover, its point of view is algorithmic and thus it provides both a history and a case history of work in complexity theory." -Choice Reviews

To this reviewer's knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming from the Simplex Methodvia the Ellipsoid algorithm to Karmarkar's algorithm. Moreover, its point of view is algorithmic and thus it provides both a history and a case history of work in complexity theory. The presentation is admirable; Karloff's style is informal...without sacrificing anything necessary for understanding. Diagrams...aid in providing clarity. The end-of-chapter notes are helpful...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study. (Choice Reviews)

The reader will be well served by reading the monograph from cover to cover. ( Mathematics of Computing)

This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice. (Zentralblatt Math)

The exposition is clear and elementary; it also contains many exercises and illustrations. ( Mathematical Reviews)

A self-contained, concise mathematical introduction to the theory of linear programming. ( Journal of Economic Literature)

An affordable new softcover edition of a classic text The first survey of linear programming accessible to upper-division undergraduate and graduate students A self-contained, concise mathematical introduction to the theory of linear programming Replete with exercises and illustrations The exposition is clear and elementary; the style is informal without sacrificing anything necessary for understanding Contains both theory and computational practice

Klappentext

To this reviewer s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming from the Simplex Method via the Ellipsoid algorithm to Karmarkar s algorithm. Moreover, its point of view is algorithmic and thus it provides both a history and a case history of work in complexity theory. The presentation is admirable; Karloff's style is informal...without sacrificing anything necessary for understanding. Diagrams...aid in providing clarity. The end-of-chapter notes are helpful...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study. (Choice Reviews) The reader will be well served by reading the monograph from cover to cover. (Mathematics of Computing) This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice. (Zentralblatt Math) The exposition is clear and elementary; it also contains many exercises and illustrations. (Mathematical Reviews) A self-contained, concise mathematical introduction to the theory of linear programming. (Journal of Economic Literature)

Inhalt
The Basics.- The Simplex Algorithm.- Duality.- The Ellipsoid Algorithm.- Karmarkar's Algorithm.