An accessible treatment of the modeling and solution of integer
programming problems, featuring modern applications and software
In order to fully comprehend the algorithms associated with
integer programming, it is important to understand not only "how"
algorithms work, but also "why" they work. "Applied Integer
Programming" features a unique emphasis on this point, focusing on
problem modeling and solution using commercial software. Taking an
application-oriented approach, this book addresses the art and
science of mathematical modeling related to the mixed integer
programming (MIP) framework and discusses the algorithms and
associated practices that enable those models to be solved most
efficiently.
The book begins with coverage of successful applications,
systematic modeling procedures, typical model types, transformation
of non-MIP models, combinatorial optimization problem models, and
automatic preprocessing to obtain a better formulation. Subsequent
chapters present algebraic and geometric basic concepts of linear
programming theory and network flows needed for understanding
integer programming. Finally, the book concludes with classical and
modern solution approaches as well as the key components for
building an integrated software system capable of solving
large-scale integer programming and combinatorial optimization
problems.
Throughout the book, the authors demonstrate essential concepts
through numerous examples and figures. Each new concept or
algorithm is accompanied by a numerical example, and, where
applicable, graphics are used to draw together diverse problems or
approaches into a unified whole. In addition, features of solution
approaches found in today's commercial software are identified
throughout the book.
Thoroughly classroom-tested, "Applied Integer Programming" is an
excellent book for integer programming courses at the
upper-undergraduate and graduate levels. It also serves as a
well-organized reference for professionals, software developers,
and analysts who work in the fields of applied mathematics,
computer science, operations research, management science, and
engineering and use integer-programming techniques to model and
solve real-world optimization problems.
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