Paul Williams, a leading authority on modeling in integer programming, has written a concise, readable introduction to the science and art of using modeling in logic for integer programming. Written for graduate and postgraduate students, as well as academics and practitioners, the book is divided into four chapters that all avoid the typical format of definitions, theorems and proofs and instead introduce concepts and results within the text through examples. References are given at the end of each chapter to the more mathematical papers and texts on the subject, and exercises are included to reinforce and expand on the material in the chapter. Methods of solving with both logic and IP are given and their connections are described. Applications in diverse fields are discussed, and Williams shows how IP models can be expressed as satisfiability problems and solved as such.
From the reviews:
"The present book comes in the trend of the extended and long known work of H. Paul Williams on integer programming. ... This is an important book for both graduate and post-graduate students, providing more concise descriptions and a clearer understanding of linear integer programming concepts and applications. It may be particularly valuable in courses with strong computational skills." (Pedro Martins, Zentralblatt MATH, Vol. 1175, 2010)
"The present book comes in the trend of the extended and long known work of H. Paul Williams on integer programming. ... This is an important book for both graduate and post-graduate students, providing more concise descriptions and a clearer understanding of linear integer programming concepts and applications. It may be particularly valuable in courses with strong computational skills." (Pedro Martins, Zentralblatt MATH, Vol. 1175, 2010)