Linear Programming: Foundations and Extensions

This is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Specific examples and concrete algorithms precede more abstract topics. Topics are clearly developed with a large number of numerical examples worked out in detail. Moreover, the book underscores the purpose of optimization: to solve practical problems on a computer. Accordingly, the book is co-ordinated with free efficient C programs that implement the major algorithms studied.