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Applied Integer Programming: Modeling and Solution,New
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An accessible treatment of the modeling and solution of integer programming problems, featuring modern applications and softwareIn 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 applicationoriented 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 nonMIP 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 largescale 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 classroomtested, Applied Integer Programming is an excellent book for integer programming courses at the upperundergraduate and graduate levels. It also serves as a wellorganized 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 integerprogramming techniques to model and solve realworld optimization problems.
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