Mathematical Programming: Pt. 1: Essays in Honour of George B.Dantzig (Mathematical Programming Studies 24) (044487853X)

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: Richard W. Cottle

The twenty-eight papers comprising these two Studies are about as diverse as any collection of papers in mathematical programming could possibly be. They represent virtually every major topic in the field: linear and nonlinear programming, discrete and continuous programming, conventional and large-scale programming, deterministic and stochastic programming, theory, applications, network optimization, and complementarity. Nevertheless, these papers possess an overriding unity, expressing as they do the authors' intention to honor George B. Dantzig on the occasion of his seventieth birthday.

The diversity of these papers is not an accident, for George Dantzig's own work has touched each of the specialities they represent. Not only is the influence of his pioneering contributions in these areas still felt, but also he continues to enrich the field with new developments. Speaking at a banquet in George Dantzig's honor, Alan Hoffman 2 put it perfectly when he said, "George is old enough to be a legend, but too lively to be a statue".

To say that George Dantzig is the father of linear programming is to underestimate his paternal accomplishments. Enlarging the list of 'offspring' to include all of mathematical programming comes closer to the truth. This metaphor, however, does not adequately suggest the amount of sustenance he has generously given to members of the mathematical programming community. For decades he has lavished inspiration, encouragement, and friendship upon people of all ages the world over. Little wonder then that the opportunity to celebrate George Dantzig's seventieth birthday brought forth an outpouring of affection and esteem.

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