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George B. Dantzig and systems optimization
Get PDFAbstractWe pay homage to George B. Dantzig by describing a less well-known part of his legacy–his early and dedicated championship of the importance of systems optimization in solving complex real-world problems
George B. Dantzig (1914–2005)
No full textThe final test of a theory is its capacity to solve the problems which originated it. This work is concerned with the theory and solution of linear inequality systems.... The viewpoint of this work is constructive. It reflects the beginning of a theory sufficiently powerful to cope with some of the challenging decision problems upon which it was founded. So says George B. Dantzig in the Preface to his book, Linear Programming and Extensions, anow classic work published in 1963, some 16 years after his formulation of the linear programming problem and discovery of the simplex algorithm for its solution. The three passages quoted above represent essential components of Dantzig’s outlook o
George B. Dantzig receiving an honorary degree, University of Maryland, December 17, 1976
No full textDr. George B. Dantzig receiving an honorary degree during commencement at the University of Maryland, December 17, 1976
Stochastic programming: the state of the art in honor of George B. Dantzig
No full textFrom the Preface… The preparation of this book started in 2004, when George B. Dantzig and I, following a long-standing invitation by Fred Hillier to contribute a volume to his International Series in Operations Research and Management Science, decided finally to go ahead with editing a volume on stochastic programming. The field of stochastic programming (also referred to as optimization under uncertainty or planning under uncertainty) had advanced significantly in the last two decades, both theoretically and in practice. George Dantzig and I felt that it would be valuable to showcase some of these advances and to present what one might call the state-of- the-art of the field to a broader audience. We invited researchers whom we considered to be leading experts in various specialties of the field, including a few representatives of promising developments in the making, to write a chapter for the volume. Unfortunately, to the great loss of all of us, George Dantzig passed away on May 13, 2005. Encouraged by many colleagues, I decided to continue with the book and edit it as a volume dedicated to George Dantzig. Management Science published in 2005 a special volume featuring the “Ten most Influential Papers of the first 50 Years of Management Science.” George Dantzig’s original 1955 stochastic programming paper, “Linear Programming under Uncertainty,” was featured among these ten. Hearing about this, George Dantzig suggested that his 1955 paper be the first chapter of this book. The vision expressed in that paper gives an important scientific and historical perspective to the book. Gerd Infanger
A Control Problem of Bellman
No full textThe control problem discussed in this paper is a variant of one considered by Bellman in a seminar at the RAND Corporation. A solution was presented to the seminar by the author in October 1952 based on the idea of placing a "loose" string between end points and "pulling tight." Recently, Arthur Veinott has greatly extended the class of problems which admit a "string" solution. It appeared of value that the author publish his original notes on Bellman's problem. The problem will be considered here in a discrete version. The reader should have no difficulties developing its continuous analogue.
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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