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The book presents a unified treatment of integer programming and network models with topics ranging from exact and heuristic algorithms to network flows, traveling salesman tours, and traffic assignment problems. While the emphasis of the book is on models and applications, the most important methods and algorithms are described in detail and illustrated by numerical examples. The formulations and the discussion of a large variety of models provides insight into their structures that allows the user to better evaluate the solutions to the problems.
The purpose of this book is to provide readers with an introduction
to the very active field of integer programming and network models.
The idea is to cover the main parts of the field without being too
detailed or too technical. As a matter of fact, we found it
somewhat surprising that most--especially newer---books are
strongly algorithmically oriented. In contrast, the main emphasis
of this book is on models rather than methods. This focus expresses
our view that methods are tools to solve actual problems and not
ends in themselves. As such, graduate (and with some omissions,
undergraduate) students may find this book helpful in their studies
as will practitioners who would like to get acquainted with a field
or use this text as a refresher. This premise has resulted in a
coverage that omits material that is standard fare in other books,
whereas it covers topics that are only infrequently found
elsewhere. There are some, yet relatively few, prerequisites for
the reader. Most material that is required for the understanding of
more than one chapter is presented in one of the four chapters of
the introductory part, which reviews the main results in linear
programming, the analysis of algorithms, graphs and networks, and
dynamic programming, respectively. Readers who are familiar with
the issues involved can safely skip that part. The three main parts
of the book rely on intuitive reasoning and examples, whenever
practical, instead of theorems and proofs.
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