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Understanding and Using Linear Programming

The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

In Section 2.7 we encountered a situation in which among all feasible so- lutions
of a linear program, only those with all components integral are of interest in the
practical application. A similar situation occurs quite often in attempts to apply ...