Logic and Integer Programming

2009
ISBN: 978-1-4419-4713-0
Verlag: Springer US

Buch, Englisch, Band 130, 200 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 271 g

Reihe: International Series in Operations Research & Management Science

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.

Zielgruppe

Research

Autoren/Hrsg.

Williams, H. Paul

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Funktionale, Logische, Parallele und Visuelle Programmierung

Inhaltsverzeichnis

An Introduction To Logic.- Integer Programming.- Modelling In Logic For Integer Programming.- The Satisfiability Problem and Its Extensions.

Über Autor(innen)

H.P.(Paul) Williams is Professor of Operational Research at the London School of Economics. He has a degree in Mathematics from Cambridge University and a PhD in Mathematical Logic from Leicester University (having studied under the late Professor R.L.Goodstein). His research work has been primarily in Linear and Integer Programming. This proposed book combines his knowledge in all these areas.

He worked for IBM on developing software for and helping clients model and solve problems in Linear and Integer Programming. This work was continued in a number of academic posts. He has held chairs at Edinburgh and Southampton Universities and published many papers in these areas (listed on his web site). He is particularly well known for his book Model Building in Mathematical Programming (Wiley) first published in 1978 and now in a fourth edition. It has been translated into a number of other languages.