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

Thomas M. Liebling

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