An Annotated Timeline of Operations Research: An Informal by Saul I. Gass

By Saul I. Gass

An Annotated Timeline of Operations learn: a casual History recounts the evolution of Operations study (OR) as a brand new technology - the technological know-how of choice making. coming up from the pressing operational problems with international conflict II, the philosophy and method of OR has permeated the solution of selection difficulties in enterprise, undefined, and govt. The Timeline chronicles the heritage of OR within the type of self-contained, expository entries. each one access provides a concise rationalization of the occasions and folks lower than dialogue, and offers key resources the place extra suitable info should be bought. moreover, books and papers that experience prompted the advance of OR or helped to teach the 1st generations of OR lecturers and practitioners are stated during the booklet. beginning in 1564 with seminal rules that shape the precursors of OR, the Timeline strains the main principles and occasions of OR via 2004.
The Timeline should still curiosity somebody enthusiastic about OR - researchers, practitioners, lecturers, and, specially, scholars - who desire to find out how OR got here into being. additional, the scope and expository kind of the Timeline may still make it of price to the overall reader drawn to the improvement of technological know-how and expertise within the final half the 20th century.

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In their book, Richard Courant and Herbert Robbins (1941) call Fermat’s problem the Steiner Problem after the German mathematician Jakob Steiner. But, as Harold Kuhn (1974) points out, Steiner did not contribute anything new to the problem. [Uber den Standort der Industrien, A. Weber, Tübingen, 1909 (translation Theory of the Location of Industries, University of Chicago Press, Chicago, 1929); “Sur le point pour lequel la somme des distances de n points donnés est minimum,” E. Weiszfeld, Tôhoku Mathematical Journal, 43, 1937, 355–386; “On a pair of dual nonlinear programs,” H.

Weber, Tübingen, 1909 (translation Theory of the Location of Industries, University of Chicago Press, Chicago, 1929); “Sur le point pour lequel la somme des distances de n points donnés est minimum,” E. Weiszfeld, Tôhoku Mathematical Journal, 43, 1937, 355–386; “On a pair of dual nonlinear programs,” H. W. Kuhn, pp. 39–54 in Nonlinear Programming, J. Abadie, editor, North-Holland, Amsterdam, 1967; “ ‘Steiner’s’ problem revisited,” H. W. Kuhn, pp. 52–70 in Studies in Optimization, Vol. 10, G. B.

Heyde, E. Seneta, editors, Springer-Verlag, New York, 2001] 1900 Early result on total unimodularity Matrix A is totally unimodular if each subdeterminant of A has a value of 0, 1, or −1. Henri Poincaré was the first to state that a matrix A with all entries aij equal to 0, +1, or −1 is totally unimodular if A has exactly one +1 and exactly one −1 in each column (and zeros otherwise). Poincaré derived this fact from a more general result involving cycles composed on entries of A. Much later, Alan Hoffman and Joseph B.

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