Michael Jünger

Giovanni Rinaldi

Laurence A. Wolsey

Gerhard Reinelt

George L. Nemhauser

William R. Pulleyblank

Thomas M. Liebling

Denis Naddef

In 1958, Ralph E. Gomory transformed the field of integer programming when he published a paper that described a cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In 2008, to commemorate the anniversary of this seminal paper, a special workshop celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. It contains reprints of key historical articles and written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community. Useful for anyone in mathematics, computer science and operations research, this book exposes mathematical optimization, specifically integer programming and combinatorial optimization, to a broad audience.

From the Early Years to the State-of-the-Art

50 Years of Integer Programming 1958-2008

A. J. Goldman

A Transport Improvement Problem Transformable to a Best-path Problem

Daniel Bienstock

George Nemhauser

This book constitutes the refereed proceedings of the 10th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2004, held in New York City, USA in June 2004. The 32 revised papers presented were carefully reviewed and selected from 109 submissions. Among the topics addressed are vehicle routing, network management, mixed-integer programming, computational complexity, game theory, supply chain management, stochastic optimization problems, production scheduling, graph computations, computational graph theory, separation algorithms, local search, linear optimization, integer programming, graph coloring, packing, combinatorial optimization, routing, flow algorithms, 0/1 polytopes, and polyhedra.

10th International IPCO Conference, New York, NY, USA, June 7-11, 2004, Proceedings

Integer Programming and Combinatorial Optimization

George L. Nemhauser

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